The present disclosure of invention relates to an anisotropic media for elastic wave mode conversion, a shear mode ultrasound transducer using the anisotropic media, and a sound insulating panel using the anisotropic media, and more specifically the present disclosure of invention relates to an anisotropic media for elastic wave mode conversion, a shear mode ultrasound transducer using the anisotropic media, and a sound insulating panel using the anisotropic media, capable of converting an elastic wave mode to be used for an industrial or medical ultrasonic wave, for decreasing a noise or a vibration, or for seismic wave related technologies.
In addition, the present disclosure of invention relates to a filter for elastic wave mode conversion, a ultrasound transducer using the filter, and a wave energy dissipater using the filter, and more specifically the present disclosure of invention relates to a filter for elastic wave mode conversion, a ultrasound transducer using the filter, and a wave energy dissipater using the filter, capable of converting an elastic wave mode to be used for an industrial or medical ultrasonic wave, for decreasing a noise or a vibration, or for seismic wave related technologies.
Fabry-Pérot interferometer using Fabry-Pérot resonance which only considers a single mode, is widely used in wave related technologies such as an electromagnetic wave, a sound wave, an elastic wave and so on.
When a wave passes through a monolayer or a multilayer, multiple internal reflection and wave interference occur inside of the layer. For example, in the monolayer, a single mode incident wave passes through the layer by 100% at the Fabry-Pérot resonance frequency in which a thickness of the layer is an integer of a half of a wavelength of the incident wave. In addition, in the multilayer, the resonance frequency in which the incident wave passes through the layer by 100% may exist.
In the elastic wave, different from the electromagnetic wave or the sound wave, a longitudinal(compression) wave and a transverse(shear) wave exist due to solid atomic bonding inside of media. Thus, when the elastic wave passes through or is reflected by an anisotropic layer, the longitudinal wave may be easily converted into the transverse wave and vice versa, due to elastic wave mode coupling.
However, even though the mode conversion of the wave exists, the technology or the theory exactly explaining anisotropic media transmission phenomenon related to a multimode (the longitudinal and transverse waves) has not been developed.
Further, in the medical ultrasonic wave or ultrasonic nondestructive inspection, visualization technology and treatment technology using the transverse wave have been widely developed, but excitation for the transverse wave is relatively difficult compared to the longitudinal wave using a piezoelectric element based ultrasonic exciter. Thus, the longitudinal wave is converted into the transverse wave via obliquely incident elastic wave using a wedge, to excite the transverse wave. However, in mode conversion based on Snell's critical angle, an incident angle is limited, transmission rate is relatively low, and dependence on an incident media and a transmissive media is relatively high.
Related prior arts are U.S. Pat. Nos. 4,319,490, 6,532,827 and USPN 2004/0210134.
The present invention is developed to solve the above-mentioned problems of the related arts. The present invention provides an anisotropic media for elastic mode conversion capable of converting a longitudinal wave to a transverse wave and vice versa using transmodal (or mode-conversion) Fabry-Pérot resonance.
In addition, the present invention also provides a shear mode ultrasound transducer using the anisotropic media.
In addition, the present invention also provides a sound insulating panel using the anisotropic media.
In addition, the present invention also provides a filter for elastic wave mode conversion capable of converting a longitudinal wave to a transverse wave and vice versa using transmodal (or mode-conversion) resonance.
In addition, the present invention also provides a ultrasound transducer using the filter.
In addition, the present invention also provides a wave energy dissipater using the filter.
According to an example embodiment, anisotropic media has an anisotropic layer, is disposed between outer isotropic media, causes multiple mode transmission on an elastic wave having a predetermined mode incident into the anisotropic media.
Anisotropic media has a mode-coupling stiffness constant not zero.
Δϕ≡kqld−kqsd=(2n+1)π, Equation (2)
kql is wave numbers of anisotropic media with quasi-longitudinal mode. kqs is wave numbers of anisotropic media with quasi-shear mode. d is a thickness of anisotropic media. n is an integer.
Σϕ≡kqld+kqld=(2m+1)π, Equation (3)
m is an integer.
A thickness of the anisotropic layer according to modulus of elasticity and excitation frequency satisfies Equation (2) which is a phase matching condition of elastic waves propagating along the same direction or Equation (3) which is a phase matching condition of elastic waves propagating along the opposite direction, to generate mode conversion Fabry-Pérot resonance,
In an example, modulus of elasticity of the anisotropic media may satisfy Equation (4), when the anisotropic media satisfies Equations (2) and (3).
C11 may be a longitudinal (or compressive) modulus of elasticity, C66 may be transverse (or shear) modulus of elasticity, C16 may be a mode coupling modulus of elasticity, ρ may be a mass density of anisotropic media, and fTFPR may be a mode conversion Fabry-Pérot resonance frequency.
Transmissivity frequency response and reflectivity frequency response may be symmetric with respect to a mode conversion Fabry-Pérot resonance frequency, on the incident elastic wave,
such that the resonance frequency in which maximum mode conversion is generated between a longitudinal wave and a transverse wave as in Equation (5) may be predicted or selected.
In an example,
C11=C66 Equation (6)
C11 may be modulus of longitudinal elasticity of anisotropic media, and C66 may be modulus of shear elasticity of anisotropic media.
The anisotropic media into which the elastic wave is incident may satisfy Equation (6) which is a wave polarization matching condition under the elastic wave incidence.
In an example, when the anisotropic media satisfies Equation (6),
particle vibration direction of quasi-longitudinal wave and quasi-shear wave in an eigenmode may be ±45° with respect to a horizontal direction, and modulus of elasticity may satisfy Equation (7),
Perfect mode conversion resonance frequency in which the incident longitudinal (or transverse) wave may be perfectly converted into the transverse (or longitudinal) wave to be transmitted satisfies Equation (8).
In an example, the anisotropic media
may include first and second media symmetric with each other.
the first and second media,
C111st=C112nd, C661st=C662nd, C161st=−C162nd, ρ1st=ρ2nd Equation (9)
may satisfy Equation (9).
C111st, C661st, C161st may be modulus of longitudinal elasticity, modulus of shear elasticity and mode coupling modulus of elasticity of the first media, C112nd, C662nd, C162nd may be modulus of longitudinal elasticity, modulus of shear elasticity and mode coupling modulus of elasticity of the second media, and may be mass density of the first and second media.
In an example, each of the first and second media may include repetitive first and second microstructures, to be formed as elastic metamaterial.
In an example, the anisotropic media may be formed as a slit in which an interface facing adjacent material is a single to be a single phase, or may be formed as a repetitive microstructure having a curved or dented slit shape.
In an example, the anisotropic media may be formed as a repetitive microstructure which has a phase with a plurality of interfaces, to be formed as a slit, a circular hole, a polygonal hole, a curved hole or a dented hole.
In an example, the anisotropic media may be formed as a repetitive microstructure having an inclined shape resonator.
In an example, the anisotropic media may be formed as a repetitive microstructure which has a size smaller than a wavelength of an incident wave and has a supercell having periodicity.
In an example, the anisotropic media may be formed as at least one unit cell shape of square, rectangle, parallelogram, hexagon and other polygons, having a microstructure and being periodically arranged.
In an example, the anisotropic media may be formed as a repetitive microstructure having at least two materials different from each other.
In an example, the anisotropic media may include fluid or solid.
In an example, the outer isotropic media comprise isotropic solid or isotropic fluid.
In an example, the anisotropic media may be applied to which the elastic wave is incident in perpendicular and is incident with an inclination.
In an example, the elastic wave of the present example embodiment may be applied in cases that the elastic wave is incident into a three-dimensional space, and the anisotropic media may be used as multiple mode conversion between a shear horizontal wave and a shear vertical wave.
In an example, when the anisotropic media is formed as a three-dimensional metamaterial in the three-dimensional space, the microstructure inclined with respect to the incident direction of the wave may include various kinds of rotating body, polyhedron or curved or dented rotating body or polyhedron. A unit cell having the microstructure may be various kinds of polyhedron such as regular hexahedron, rectangle, hexagon pole and so on.
According to another example embodiment, an anisotropic media for elastic wave mode conversion has an anisotropic layer, a first side of the anisotropic media is disposed at a side of outer isotropic media, a second side of the anisotropic media is a free end or a fixed end, causes multiple mode reflection on an elastic wave having a predetermined mode incident into the anisotropic media, and has a mode-coupling stiffness constant not zero.
Equation (10) which is a phase matching condition of elastic waves propagating along the same direction.
Δϕ≡kqld−kqsd=(n+½)π, Equation (10)
kql is wave numbers of anisotropic media with quasi-longitudinal mode, kqs is wave numbers of anisotropic media with quasi-shear mode, d is a thickness of anisotropic media, and n is an integer.
Σϕ≡kqld+kqsd=(m+½)π, Equation (11)
m is an integer.
A thickness of the anisotropic layer according to modulus of elasticity and excitation frequency satisfies Equation (10) which is a phase matching condition of elastic waves propagating along the same direction or Equation (11) which is a phase matching condition of elastic waves propagating along the opposite direction, to generate mode conversion Fabry-Pérot resonance.
In an example, modulus of elasticity of the anisotropic media may satisfy Equation (12), when the anisotropic media satisfies Equations (10) and (11).
C11 may be a longitudinal (or compressive) modulus of elasticity, C66 may be transverse (or shear) modulus of elasticity, C16 may be a mode coupling modulus of elasticity, ρ may be a mass density of anisotropic media, and fTFPR may be a mode conversion Fabry-Pérot resonance frequency.
Transmissivity frequency response and reflectivity frequency response may be symmetric with respect to a mode conversion Fabry-Pérot resonance frequency, on the incident elastic wave
such that the resonance frequency in which maximum mode conversion is generated between a longitudinal wave and a transverse wave as in Equation (13) may be predicted or selected.
In an example, the anisotropic media may perform elastic wave mode conversion around the resonance frequency, with satisfying the phase matching condition and the polarization matching condition to a certain degree.
In an example, Cij (i, j=1, 2, 3, 4, 5, 6) may be properly selected based on the direction of the anisotropic media and an incident plane of the elastic wave with a conventional rule.
According to still another example embodiment, a shear mode ultrasound transducer includes a meta patch mode converter having the anisotropic media. A specimen is disposed beneath the meta-patch mode converter, a longitudinal wave is incident into the meta patch mode converter, and then a defect signal reflected by a defect of the specimen passes through the meta patch mode converter, to be measured.
According to still another example embodiment, a sound insulating panel includes a meta panel mode converter having the anisotropic media, and a solid media combined with both ends of the meta panel mode converter. Fluid media is combined with first and second outer sides of the solid media. A longitudinal wave which is generated from an outer sound source and passes through the fluid media combined with the first outer side of the solid media is incident into the solid media but is blocked by the fluid media combined with the second outer side of the solid media.
According to still another example embodiment, a filter for elastic wave mode conversion includes uniform anisotropic media or elastic metamaterials, non-uniform anisotropic media having composite materials which are disposed between outer isotropic media or mode non-coupling media, and have a mode-coupling stiffness constant not zero on an incident elastic wave having a predetermined mode. The filter causes multiple mode transmission, and each of at least two elastic wave eigenmodes satisfies a phase change with integer times of half of the wavelength of the phase (or π), so that the transmodal (or mode-conversion) Fabry-Pérot resonance is generated between the longitudinal wave and the transverse wave or between the longitudinal waves different from each other.
In an example, the filter may have two elastic wave eigenmodes satisfying the phase change with integer times of π ((wave number of eigenmode)*(thickness of filter)) on the incident elastic wave, when two elastic wave eigenmodes are generated and exist inside of the filter, such that the transmodal (or mode-conversion) Fabry-Pérot resonance may be generated between the longitudinal wave and the transverse wave or between the longitudinal waves different from each other.
In an example, a first mode conversion Fabry-Pérot resonance frequency f1 in which maximum mode conversion is generated, may satisfy Equation (18).
CL may be a longitudinal modulus of elasticity of the filter, CS may be a transverse modulus of elasticity of the filter, CMC may be a mode coupling modulus of elasticity of the filter, ρ may be a mass density of filter, d is a thickness of filter, N1 may be the number of nodal points of displacement field of a first eigenmode, and N2 may be the number of the nodal points of displacement field of a second eigenmode.
In an example, second and more mode conversion Fabry-Pérot resonance frequency in which maximum mode conversion is generated, may be odd times of a first mode conversion Fabry-Pérot resonance frequency.
In an example, the filter may have a longitudinal modulus of elasticity substantially same as a transverse modulus of elasticity, to perform ultra-high pure elastic wave mode conversion in which a converted elastic wave mode is only transmitted at a resonance frequency.
In an example, a first mode conversion Fabry-Pérot resonance frequency f1 in which the ultra-high pure elastic wave mode is generated, may satisfy Equation (21).
CL may be a longitudinal modulus of elasticity of the filter, CS may be a transverse modulus of elasticity of the filter, CMC may be a mode coupling modulus of elasticity of the filter, ρ may be a mass density of filter, d may be a thickness of filter, N1 may be the number of nodal points of displacement field of a first eigenmode, and N2 may be the number of the nodal points of displacement field of a second eigenmode.
In an example, the elastic metamaterials may include at least one microstructure which is smaller than a wavelength of the elastic wave, and may be inclined with respect to an incident direction of the elastic wave or may be asymmetric to an incident axis of the elastic wave.
In an example, the unit pattern having the microstructure may be periodically arranged to form the filter.
In an example, the microstructure may have property gradient, and a size, a shape and a direction of the microstructure are gradually changed as the unit pattern is arranged.
In an example, the microstructure may include upper and lower microstructures. The upper microstructure may be inclined with respect to an incident direction of the elastic wave or may be asymmetric to an incident axis of the elastic wave.
In an example, the microstructure may include inner media different from the outer media with respect to an interface of the microstructure.
In an example, the microstructure may be plural in parallel with each other, in perpendicular to each other, or with an inclination with each other.
In an example, at least one unit cell shape of square, rectangle, parallelogram, hexagon and other polygons may be periodically arranged in a plane to form the microstructure, and at least one unit cell shape of cube, rectangle, parallelepiped, hexagon pole and other polyhedron may be periodically arranged in a space to form the microstructure.
In an example, the filter may have at least two elastic wave eigenmodes satisfying the phase change with integer times of π ((wave number of eigenmode)*(thickness of filter)) on the incident elastic wave, when three elastic wave eigenmodes are generated and exist inside of the filter, such that the various kinds of the mode conversion Fabry-Pérot resonance may be generated among a longitudinal wave, a horizontal transverse wave and a vertical transverse wave.
In an example, to maximize mode conversion efficiency among the longitudinal wave, the horizontal transverse wave and the vertical transverse wave, at least two of a longitudinal modulus of elasticity of the filter CL, a horizontal direction shear modulus of elasticity of the filter CSH, and a vertical direction shear modulus of elasticity of the filter CSV, may be substantially same with each other, and at least two of a longitudinal-horizontal direction shear mode-coupling modulus of elasticity of the filter CL-SH, a longitudinal-vertical direction shear mode-coupling modulus of elasticity of the filter CL-SV, and horizontal direction shear-vertical direction shear mode-coupling modulus of elasticity of the filter CSH-SV, may be substantially same with each other.
In an example, an incident longitudinal wave may be converted into a vertical transverse wave or a horizontal transverse wave. An amplitude ratio and phase difference of the mode converted horizontal transverse wave and vertical transverse wave may be controlled to generate one of a linearly polarized transverse elastic wave, a circularly polarized transverse elastic wave and an elliptically polarized transverse elastic wave.
According to still another example embodiment, a ultrasound transducer includes the filter for elastic wave mode conversion which is disposed between a ultrasound generator and a specimen.
In an example, the ultrasound transducer may further include a wedge disposed between the filter and the specimen such that the filter and the specimen may be inclined with each other, to cause an impedance matching between the ultrasound generator and the specimen.
According to still another example embodiment, a wave energy dissipater includes the filter for elastic wave mode conversion which is attached to viscoelastic material or attenuation media.
In an example, the viscoelastic material may include a human soft tissue or a rubber, and the attenuation media may include a ultrasound backing material.
According to the present example embodiments, an elastic wave mode may be converted very efficiently, using the anisotropic media and the filter satisfying the condition in which the transmodal Fabry-Pérot resonance occurs.
Here, the anisotropic media and the filter may be fabricated by various kinds of structures and materials, and thus the elastic wave mode conversion may be performed variously and various kinds of combination may be performed considering the needs of fields.
In addition, the ultrasound transducer and the wave energy dissipater are performed using the filter, and thus the elastic wave mode may be converted, the longitudinal wave which is not easy to be excited conventionally may be excited more easily via the effective mode conversion, and the wave energy may be dissipated more efficiently using the mode conversion.
The invention is described more fully hereinafter with Reference to the accompanying drawings, in which embodiments of the invention are shown. This invention may, however, be embodied in many different forms and should not be construed as limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the scope of the invention to those skilled in the art.
The terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention.
As used herein, the singular forms “a”, “an” and “the” are intended to include the plural forms as well, unless the context clearly indicates otherwise. It will be further understood that the terms “comprises” and/or “comprising,” when used in this specification, specify the presence of stated features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof.
In addition, the same reference numerals will be used to refer to the same or like parts and any further repetitive explanation concerning the above elements will be omitted. Detailed explanation regarding prior arts will be omitted not to increase uncertainty of the present example embodiments of the present invention.
Hereinafter, the embodiments of the present invention will be described in detail with reference to the accompanied drawings.
An anisotropic media for elastic wave mode conversion according to an example embodiment of the present invention, a shear mode ultrasound transducer using the anisotropic media, and a sound insulating panel using the anisotropic media, are explained first.
Referring to
Hereinafter, outer media 14 and 15 covering the layer 10 are considered as isotropic, and the outer media 14 and 15 and the layer 10 are considered as a solid material, for convenience of explanation.
Alternatively, the outer media may not be limited to the solid material, and may be a fluid material, and the outer media disposed at both sides of the layer may be different from each other.
In addition, in the drawings, for convenience of explanation, the explanation or the drawings for the outer media is omitted.
In addition, when Fabry-Pérot resonance occurs in a single mode at the layer without a mode-coupling, as illustrated in
kd=nπ Equation (1)
Here, k is a wave number for the single mode inside of the layer 10, d is a thickness of the layer, n is a positive number.
Referring to
Thus, as illustrated in the figure, when the elastic wave 101 is incident into the anisotropic media 100, a transformed mode, in addition to a transmissive wave 102 and a reflective wave 103, is generated. For example, when a longitudinal wave is incident, a transverse transmissive wave 104 and a transverse reflective wave 105 are generated together.
Here, the conditions in which so called ‘transmodal Fabry-Pérot resonance’ occurs exist, and the conditions are different from the conventional single mode resonance condition as expressed in Equation (1) and are variously expressed. A transmodal transmissivity may be maximized at the conditions in which the transmodal Fabry-Pérot resonance occurs.
In the mode conversion using a weakly mode-coupled anisotropic layer having a mode-coupling stiffness constant is relatively small compared to other stiffness constants, the transmissivity is expressed as illustrated in
For example, referring to
Thus, using the anisotropic media 100 satisfying Equation (2), the transmodal (or mode conversion) Fabry-Pérot resonance is generated.
Δϕ≡kqld−kqsd=(2n+1)π, Equation (2)
Here, kql is wave numbers of anisotropic media 100 with quasi-longitudinal mode, kqs is wave numbers of anisotropic media 100 with quasi-shear mode, d is a thickness of anisotropic media 100, and n is an integer.
The conditions for the transmodal (or mode conversion) Fabry-Pérot resonance having the weakly mode-coupling are considered as co-directional phase-matching conditions, contra-directional phase-matching conditions are exist inside of the anisotropic layer 100, and are defined as Equation (3) at the one dimensional vertical incidence as in
Σϕ≡kqld+kqsd=(2m+1)π, Equation (3)
Here, m is an integer.
As illustrated in the figure, when a modulus of elasticity of the anisotropic media 100 satisfies the above-mentioned two phase matching conditions, Equation (4) is also satisfied.
Here, C11 is a longitudinal (or compressive) modulus of elasticity, C66 is transverse (or shear) modulus of elasticity, C16 is a mode coupling modulus of elasticity, ρ is a mass density of anisotropic media, and fTFPR is a mode conversion (or transmodal) Fabry-Pérot resonance frequency.
Here, the transmissivity frequency response and the reflectivity frequency response are symmetric with respect to the resonance frequency, for the elastic wave incident for the anisotropic media 100. Thus, with the above-mentioned two phase matching conditions, the resonance frequency at which the mode conversion is maximized, may be predicted as Equation (5).
For the anisotropic layer 100 having the modulus of elasticity without satisfying the above-mentioned phase matching conditions, the transmissivity frequency response and the reflectivity frequency response are asymmetric with respect to the resonance frequency. Thus, using Equation (2) which is the co-directional phase-matching conditions, the resonance frequency at which the mode conversion is maximized may be roughly predicted.
In the transmodal Fabry-Pérot resonance conditions as explained above, in addition to the phase matching conditions as expressed Equation (2) and Equation (3), polarization matching conditions exist inside of the anisotropic layer 100 and are expressed as Equation (6) when the elastic wave 101 is vertically incident into the anisotropic media 100.
C11=C66 Equation (6)
Here, C11 is modulus of longitudinal elasticity of anisotropic media, and C66 is modulus of shear elasticity of anisotropic media.
In the anisotropic media 100 satisfying the polarization matching conditions of Equation (6), a particle vibration direction of quasi-longitudinal wave and quasi-shear wave in an eigenmode is ±45° with respect to a horizontal direction.
Referring to
The polarization matching conditions of Equation (6) may be applied independent of the above-mentioned two phase matching conditions, and in
Referring to
In addition, in the layer having the anisotropic media, the perfect transmodal Fabry-Pérot resonance occurs at the resonance frequency satisfying Equation (8).
Thus, when the longitudinal wave is incident as the incident wave 101, the transverse wave 102 is transmissive. When the outer media is an isotropic metal media, about more than 90% mode conversion (transmodal) transmissivity occurs. Here, the wave mode of the incident wave 101 may be the longitudinal wave and the transverse wave.
The reflective wave, without the mode conversion, is reflected as the longitudinal wave 103, and when the outer media is the isotropic metal media, less than 10% non-transmodal transmissivity occurs.
Accordingly, when the perfect mode conversion (transmodal) resonance occurs, perfect mode isolation occurs in which the longitudinal wave 101 and 103 is isolated with the transverse wave 102 with respect to the anisotropic media 100.
Referring to
The reflection of the incident wave may be minimized, and the elastic wave transmodal transmissivity may be maximized or minimized, using the dual layer anisotropic media 200, which is not performed by the single layer anisotropic media 100.
As illustrated in
Here, when the single mode elastic wave 211 is one-dimensionally and vertically incident into the anisotropic media 200, mirror symmetric conditions of the microstructure is expressed as Equation (9).
C111st=C112nd, C661st=C662nd, C161st=−C162nd, ρ1st=ρ2nd Equation (9)
Here, C111st, C661st, C161st are modulus of longitudinal elasticity, modulus of shear elasticity and mode coupling modulus of elasticity of the first media 210.
C112nd, C662nd, C162nd are modulus of longitudinal elasticity, modulus of shear elasticity and mode coupling modulus of elasticity of the second media 220.
ρ1st, ρ2nd are mass density of the first and second media 210 and 220.
As illustrated in
Accordingly, using the dual layer anisotropic media 200 having the overlapped single layers at which the mode conversion occur, the reflectivity is minimized compared to the single layer, and almost perfect trans-modal transmissivity may be performed.
Referring to
The free end condition may be approximated to the case that the outer media 15 through which the elastic wave passes is a material like a gas as in
When the modulus of elasticity of the anisotropic media and the thickness of the anisotropic media according to the excited frequency satisfy Equation (10) which is reflection type co-directional phase-matching conditions and Equation (11) which is reflection type contra-directional phase-matching conditions, the reflection-type transmodal Fabry-Pérot resonance occurs, such that the incident longitudinal wave (transverse wave) is converted to the transverse wave (longitudinal wave) in maximum, as for the property of the outer media 107. For example, Poisson's ratio may be the property, when the outer media is the isotropic media.
Δϕ≡kqld−kqsd=(n+½)π, Equation (10)
Σϕ≡kqld+kqsd=(m+½)π, Equation (11)
Here, the modulus of elasticity for the reflection type anisotropic media is expressed as Equation (12).
In addition, the reflection type transmodal Fabry-Pérot resonance frequency at which the transmodal reflectivity is maximized is expressed as Equation (13), and thus the resonance frequency may be predicted and selected as for the property of the outer media 107, like the transmission type mode conversion.
Accordingly, when the reflection type transmodal anisotropic media perfectly or approximately satisfy the above-mentioned two reflection type phase matching conditions and the polarization matching conditions of Equation (6), the perfect Fabry-Pérot resonance occurs. Here, in the perfect Fabry-Pérot resonance, a first mode perfectly incident is converted to a second mode to be reflected, for the property of the outer media 107.
As for the reflection type transmodal anisotropic media, almost perfect mode conversion may be performed according to the property of the outer media 107, even though the polarization matching conditions of Equation (6) is approximately satisfied, compared to the transmission type transmodal anisotropic media.
Conventionally, the elastic wave transmodal anisotropic media 100 may be applied to develop a shear mode (or a transverse wave mode) ultrasound transducer. A shear mode ultrasound is different from the longitudinal mode ultrasound, in a particle motion direction, a phase speed, an attenuation factor and so on, and thus, defects 1004 which are not easily detected by the conventional longitudinal mode ultrasound may be detected more sensitively and more efficiently. In the conventional piezoelectric element based ultrasound transducer, the longitudinal wave is easily generated and measured, but selective excitation for the shear wave is very difficult. Thus, conventionally, using the ultrasound wedge, the longitudinal wave generated by the conventional ultrasound transducer is converted to the shear wave to be used. However, at the interface between the wedge and the transducer and the interface between the wedge and the specimen (the specimen is a metal material in industrial non-destructive inspection), reflection loss of the ultrasound energy is relatively large due to the material property difference among the transducer, the wedge and the specimen.
The anisotropic media 100 according to the previous example embodiment may be applied to a meta-patch mode converter 1001 which is attached to the conventional ultrasound transducer 1002 and is very compatible.
As illustrated in
Very small amount of the incident longitudinal wave 101 is reflected to be the reflective wave 103, and the remaining incident longitudinal wave 101 passes through the meta-patch mode converter 1001 to be generated as the high efficiency shear wave 102. Thus, the structural defect 1004 may be detected or measured more easily.
In addition, as illustrated in
Accordingly, the anisotropic media 100 may be applied to the sensor type shear mode ultrasound transducer 1000 measuring the longitudinal wave 102 which is converted with high signal intensity.
The elastic wave trans-modal anisotropic media 100 may be applied to the transmodal Fabry-Pérot resonance (TFPR) based sound insulating panel. When the wave energy is transmitted from the solid media to the fluid media, in the vertical incident, the shear wave (the transverse wave) is not transmitted to the fluid media having no shear modulus and is blocked inside the solid media panel.
Referring to
Here, the converted shear wave 102 does not pass through the fluid media 2005 having not shear stiffness, and is reflected in the interface to be blocked inside of the solid insulating panel as the shear wave 110. Thus, the sound wave 113 toward the fluid media 2005 may be effectively blocked or insulated.
Here, the thickness of the layer of the solid media 2002 and 2003 relative to the meta-panel mode converter 2001 forming the transmodal resonance insulating panel 2000, may be properly changed.
Thus, the incident elastic wave 211 is transmitted without the mode conversion 212 or with the mode conversion 214, or is reflected without the mode conversion 213 or with the mode conversion 215.
Here, the first and second media 210 and 220 of the anisotropic media 200 of the dual layer may include first and second microstructures 230 and 240 symmetric to each other, respectively, as illustrated in
The elastic metamaterial may be constructed by the anisotropic media 200 having the first and second microstructures 230 and 240 repeatedly.
In the above example embodiments, the elastic wave is vertically incident into the anisotropic media having a two-dimensional plane shape.
However, the above example embodiments may be applied to the cases that the elastic wave is incident into the anisotropic media having a two-dimensional plane shape with an inclination, and the elastic wave is incident into the anisotropic media having a three-dimensional shape.
In the three-dimensional shape, the shear wave includes a shear horizontal wave and a shear vertical wave that are respectively vibrated horizontally and vertically, and thus, the transmodal resonance between the longitudinal wave and the transverse wave occurs, or the transmodal resonance between the horizontal transverse wave and the vertical transverse wave occurs, according to the mode-coupling coefficient of the anisotropic media.
The microstructures illustrated in
For example, as illustrated in
As illustrated in
As illustrated in
In addition, a super cell 500 in which various kinds of microstructures 510, 520, 530 and 540 are complicatedly mixed, may perform the anisotropic media, and here, the size of the super cell 500 is smaller than a wavelength of the incident wave and the super cell 500 has periodicity.
A shape of the unit cell or the super cell, as illustrated in
The microstructure of the anisotropic media may include all kinds of unit cell shape having periodicity such as parallelogram, hexagon and other polygons in addition to square or rectangle.
In addition, the material consisting the microstructure may be solid or fluid.
Referring to
Referring to
Although not shown in the figure, each media illustrated in
Accordingly, various kinds of microstructural metamaterials and multilayered structures may compose the anisotropic media to have various kinds of properties, and thus frequency wideband efficient mode conversion, or frequency narrowband efficient mode conversion selective to a certain frequency may be performed.
Hereinafter, a filter for elastic wave mode conversion, an ultrasound transducer using the filter, and a wave energy dissipater using the filter are explained.
Conventionally, when an elastic wave is incident parallel with a principal axis of an isotropic layer or an anisotropic layer, which is a very limited case, a transmissive wave and a reflective wave are generated, since mode coupling between a longitudinal wave and a transverse wave does not occur in the layer. Here, when the Fabry-Pérot resonance occurs in a single mode at the layer without a mode-coupling, the transmissivity in the single mode may be 100%.
Conventionally, a frequency f when the non-transmodal Fabry-Pérot resonance occurs is defined as Equation (14).
Here, d is a thickness of the layer, N is a positive number, C is a longitudinal modulus of elasticity or a shear modulus of elasticity, ρ is a mass density.
In the filter for elastic wave mode conversion (trans-mode) (hereinafter called as ‘filter’) according to the present example embodiment, vertical and horizontal vibrations of the elastic waves are combined inside thereof, and thus, the filter has a mode-coupling stiffness constant not zero. Here, a converted different mode in addition to the wave mode incident into the filter exists as a transmissive wave and a reflective wave. For example, the longitudinal wave exists when the transverse wave is incident, and vice versa.
For convenience of explanation, a single longitudinal wave mode and a single transverse wave mode are considered in a plane, and same mode-decoupled media, for example an isotropic media, are considered to be disposed adjacent to the filter of the present example embodiment. Here, to generate the transmodal Fabry-Pérot resonance, at which the transmodal transmissivity of the elastic wave incident to the filter is maximized, the phase change of each of two eigenmodes existing inside of the filter satisfies integer times of π.
Thus, when a first transmodal Fabry-Pérot resonance is generated in the filter, the phase change of each of two eigenmodes existing inside of the filter ((wave number of eigenmode)*(thickness of filter)) satisfies integer times of π.
Equation (15) may express the above-mentioned case.
k1·d=N1·π,
k2·d=N2·π Equation (15)
Here, d is a thickness of the filter, k1 is a wave number of eigenmode 1, k2 is a wave number of eigenmode 2, N1 is the number of nodal points of displacement field of a first eigenmode, and N2 is the number of the nodal points of displacement field of a second eigenmode.
More specifically, to generate the transmodal Fabry-Pérot resonance accurately, one of N1 and N2 is even times of π, and the other of N1 and N2 is odd times of π.
Here, a first Fabry-Pérot resonance frequency f1 (hereinafter called as ‘resonance frequency’) at which the mode conversion (trans-mode) is maximized, is expressed using a material property of the filter and is defined as Equation (16).
Here, d is a thickness of filter, CL is a longitudinal modulus of elasticity of the filter, CS is a transverse modulus of elasticity of the filter, CMC is a mode coupling modulus of elasticity of the filter, ρ is a mass density of filter, N1 is the number of nodal points of displacement field of a first eigenmode, and N2 is the number of the nodal points of displacement field of a second eigenmode.
In addition, second, third, and further resonance frequency f may be selected as odd times of the first resonance frequency f1 and the mode conversion may be performed.
Equation (17) may express the resonance frequency, for example.
f=(2n−1)·f1 Equation (17)
Here, n is a positive number, and f1 is a first resonance frequency of the filter.
In addition, Equation (18) may calculate the material property such as ρ, CL, CS, and CMC of the filter having the resonance frequency selected by the user.
Further, for ultra-high pure elastic wave mode conversion of the filters in which only elastic wave mode is transmissive at the resonance frequency, the filter has two eigenmodes in which the vibration directions are ±45°, and the filter has the longitudinal modulus of elasticity and shear modulus of elasticity same with each other.
The above additional conditions may be expressed by Equation (19).
CL=CS Equation (19)
Here, the material property such as ρ, CL, CS, and CMC of the filter performing the ultra-high pure elastic wave mode conversion may be defined as Equation (20) from equations (18) and (19).
When the material property of the filter is defined, the equation (20) may be defined as Equation (21) calculating the first resonance frequency at which the ultra-high pure elastic wave mode conversion is generated.
Here, d is a thickness of filter, CL is a longitudinal modulus of elasticity of the filter, CMC is a mode coupling modulus of elasticity of the filter, ρ is a mass density of filter, N1 is the number of nodal points of displacement field of a first eigenmode, and N2 is the number of the nodal points of displacement field of a second eigenmode.
In Equations (16) to (21), the longitudinal modulus of elasticity of the filter (CL) and the transverse modulus of elasticity of the filter (CS) may be applied when the longitudinal wave and the transverse wave are mode-converted in a two-dimensional plane. When two modes of the longitudinal wave, the horizontal transverse wave and the vertical transverse wave are converted in a space, the longitudinal modulus of elasticity and the transverse modulus of elasticity are replaced as two of the longitudinal modulus of elasticity of the filter (CL), the horizontal direction shear modulus of elasticity of the filter (CSH) and the vertical direction shear modulus of elasticity of the filter (CSV), and thus Equations (16) to (21) may express various kinds of transmodal function of the filter.
Furthermore, when three elastic wave eigenmodes are generated and exist inside of the filter for the incident elastic wave in the three-dimensional space, each of at least two eigenmodes has the phase change ((wave number of eigenmode)*(thickness of filter)) satisfying integer times of π, and thus various kinds of the transmodal Fabry-Pérot resonance between the longitudinal wave, the horizontal transverse wave and the vertical transverse wave in the space.
When each of three eigenmodes of the filter has the phase change of integer times of π, the wave numbers of each of three eigenmodes may be expressed as Equation (22).
k1·d=N1·π,
k2·d=N2·π,
k3·d=N3·π Equation (22)
Here, d is a thickness of the filter, k1 is a wave number of eigenmode 1, k2 is a wave number of eigenmode 2, k3 is a wave number of eigenmode 3, N1 is the number of nodal points of displacement field of a first eigenmode, N2 is the number of the nodal points of displacement field of a second eigenmode, and N3 is the number of the nodal points of displacement field of a third eigenmode.
In addition, to generate the transmodal Fabry-Pérot resonance accurately, at least one nodal point satisfying even numbers of π, and at least one nodal point satisfying odd numbers of π should exist among the numbers of nodal points of three eigenmodes N1, N2 and N3.
In addition, to maximize the transmodal efficiency between the longitudinal wave, the horizontal transverse wave and the vertical transverse wave, at least two of the longitudinal modulus of elasticity of the filter (CL), the horizontal direction shear modulus of elasticity of the filter (CSH) and the vertical direction shear modulus of elasticity of the filter (CSV) are same with each other, and at least two of the longitudinal-horizontal direction shear mode-coupling modulus of elasticity of the filter (CL-SH), the longitudinal-vertical direction shear mode-coupling modulus of elasticity of the filter (CL-SV), and the horizontal direction shear-vertical direction shear mode-coupling modulus of elasticity of the filter (CSH-SV) are same with each other.
The outer media adjacent to both sides of the filter may affect the efficiency of mode conversion of the filter and frequency bandwidth. For example, the maximum transmodal efficiency (efficiency of mode conversion) is related to a ratio between a mechanical impedance of the outer media at a first side (for example, a left side) with respect to the mode incident into the first side of the filter, and a mechanical impedance of the outer media at a second side (for example, a right side) with respect to the mode transmissive to and converted by the filter. Here, when above two mechanical impedances are same with each other, the maximum transmodal efficiency may be 100%.
The material properties of the filter in Equations (18) to (20) may be performed by using homogeneous anisotropic material such as a chemically synthesized solid crystal, or performed by heterogeneous anisotropic material having elastic metamaterial or composite material having the microstructure smaller than the wavelength of the elastic wave.
In addition, the filter mentioned above is explained in detail referring the figures. The filter mentioned below satisfies Equations (15) to (21) or (22), and may generate the transmodal Fabry-Pérot resonance.
Referring to
For example, as mentioned above, the filter 20 may include heterogeneous anisotropic material having microstructure patterns thereinside, such as anisotropic material, artificially synthesized homogeneous anisotropic material, metamaterial, and so on.
Here, the filter 20 include at least one microstructure 1010 as a unit pattern in a plane or in a space, which is inclined by a predetermined angle with respect to the incident direction of the elastic wave 1100, or is asymmetric to the incident axis.
The filter includes at least one unit pattern 1000 variously arranged, and at least one unit pattern 1000 includes at least one microstructures 1010 thereinside.
As illustrated in
Here, the unit pattern 1000 may have a shape of square, rectangle, parallelogram, hexagon or other polygons, or may have a shape of cube, rectangle, parallelepiped, hexagon pole or other polyhedron, and may have a thickness t in the space.
Referring to
Here, each lower microstructure 1020 is disposed such that the upper microstructure is inclined with respect to the incident direction of the elastic wave 1100 or is inclined asymmetric to the incident direction of the elastic wave 1100.
For example, as the lower microstructures are arranged as illustrated in
Referring to
The microstructure may be formed as various kinds of shapes, when the microstructure is disposed inclined by the angle A with respect to the incident elastic wave 1100, and hereinafter, the various kinds of shapes of the microstructure will be explained.
The unit pattern of the filter 20 may include various kinds of microstructures, and referring to
Alternatively, as illustrated in
Referring to
Referring to
Referring to
Further, although not shown in the figure, the shape of the unit pattern of the filter is irregular, and thus may be formed as an amorphous polygons or polyhedron in the plane or in the space.
Referring to
As explained above, for the filter according to the present example embodiment, the eigenmodes of the elastic wave inside of the filter have the phase change satisfying the integer times of half wavelength (or π).
Thus,
As illustrated in
Thus, as illustrated in
Here, as explained above, when the longitudinal wave (or the transverse wave) is vertically incident into the filter having the thickness of d in the plane, the transmodal resonance frequency at which the mode conversion into the transverse wave (or the longitudinal wave) is maximized may be selected as the odd times of the frequency in Equation (16).
In addition, as explained above, when the longitudinal wave (or the transverse wave) is vertically incident into the filter having the thickness of d in the plane, the material property of the filter which has the first resonance frequency f1 at which the mode conversion into the transverse wave (or the longitudinal wave) is maximized, and has the longitudinal modulus of elasticity, the shear modulus of elastic and the mode-coupling stiffness constant, may be defined as Equation (18).
Referring to
Here, the filter has the shear modulus of elasticity (for example, C44, C55, C66) similar to or same with the longitudinal modulus of elasticity (for example, C11, C22, C33), so that the filter only generates the converted elastic wave mode with ultra-high purity and only transmits the converted elastic wave mode.
Accordingly, referring to
In addition, in the above-mentioned ultra-high pure elastic wave mode conversion, when the longitudinal (or transverse) wave is vertically incident into the filter having the thickness of d in the plane, the first resonance frequency f1 at which the ultra-high pure mode conversion to the transverse (or longitudinal) wave is generated may be selected as expressed Equation (21).
Further, when the longitudinal (or transverse) wave is vertically incident into the filter having the thickness of d in the plane, the material properties of the filter having the first resonance frequency f1 at which the ultra-high pure mode conversion to the transverse (or longitudinal) wave is generated may be selected as expressed Equation (20).
Here, referring to
The operation theory of the above-mentioned conversion, may be explained substantially similar to the conversion from the transverse wave to the longitudinal wave, or the conversion between the transverse waves using the filter, or the mode conversion using the filter having more than two eigenmodes.
In the present example embodiment, at least one outer media adjacent to the filter may be isotropic solid material, anisotropic solid material, and isotropic and anisotropic fluid (gas or liquid) material.
Hereinafter, for the convenience of explanation, one unit pattern of the filter forms the filter.
Referring to
Here, the first and second outer media 8001 and 8002 may be same with each other or different from each other.
The filter 9000 may include a multiple filters 9100, 9200 and 9300. Here, each of the filters 9100, 9200 and 9300 includes one unit pattern, for the convenience of explanation, but alternatively, each of the filters 9100, 9200 and 9300 may include a plurality of unit patterns.
When the filter 9000 includes the plurality of filters 9100, 9200 and 9300, the transmodal efficiency (mode conversion efficiency) and the bandwidth of the resonance frequency may be increased.
As for the frequency response of the mode conversion efficiency of the filter 9000, as illustrated in
The elastic wave incident into the filter according to the present example embodiment, may be vertically incident into the filter, or be incident into the filter with an inclination.
In addition, in the space, the filter converts the incident longitudinal wave into the shear horizontal wave or the shear vertical wave, and here, the filter controls the amplitude ratio and phase difference between the mode converted shear horizontal wave and the mode converted shear vertical wave, to generate various kinds of transverse elastic waves with linear polarization, circular polarization or elliptical polarization.
Referring to
Thus, the ultrasound transducer 8100 generates the shear wave 8110 perpendicular to the specimen 8105 and transmits the shear wave 8110 to the specimen 8105. Then, the ultrasound transducer 8100 converts the shear wave 8120 returned from the specimen 8105 to the longitudinal wave, and measures the longitudinal wave with high efficiency.
Referring to
Here, the wedge 8203 is disposed between the filter 8202 and the specimen 8206, such that the filter 8202 is inclined with respect to the specimen 8206. Thus, the impedance matching may be enhanced.
In addition, the wedge 8203 is used only for the wave obliquely incident into the specimen 8206, and may have high transmissivity since in the wedge 8203 Snell's critical angle is not used as in the conventional wedge.
Here, the ultrasound transducer 8200 generates the shear wave 8210 to transmit the shear wave 8210 to the specimen 8206, and converts the shear wave 8220 returned from the specimen 8206 to the longitudinal wave. Thus, the longitudinal wave may be measured with high efficiency.
When inspecting whether the defect 8208 exists inside of a weld 8207 of the specimen 8206, the ultrasound transducer 8200 according to the present example embodiment may measure the longitudinal wave converted from the returned shear wave 8220, and thus may be used very efficiently.
Although not shown in the figure, the filter 8202 is integrally formed with the wedge 8203 with the same materials, and thus may perform the mode conversion with high transmissivity.
Referring to
Here, the filter 8302 is disposed inside of the insulating material 8301, or is combined with the insulating material 8301.
Thus, the sound wave 8310 incident from the outer media 8305 is converted into the transverse elastic wave, and thus the sound wave 8320 transmitted to the next outer media 8306 may be decreased efficiently.
Referring to
Here, in the medical ultrasound transducer 8400, the shear wave is incident into human tissue with high efficiency, and thus the medical ultrasound transducer 8400 may be used for ultrasound inspection and treatment such as transcranial ultrasonography, blood brain barrier opening, elastography, bone mineral densitometer, tachometry, and so on.
The medical ultrasound transducer 8400 transmits the generated shear wave 8411 to the hard tissue 8407, or measures the returned shear wave 8421. The generated shear wave 8411 transmits the elastic wave or acoustic wave 8410 to the inner fluid media or the soft tissue 8408 with high efficiency. In addition, the elastic wave or acoustic wave 8420 returned from the inner tissue 8408 is converted into the shear wave 8421 to be measured by the medical ultrasound transducer 8400.
In addition, the medical ultrasound transducer 8400 is attached on an outer surface of a pipe in which the fluid flows, and measures the velocity of the fluid inside of the pipe more sensitively and more accurately.
Referring to
Referring to
Here, the viscoelastic material includes the human soft tissue or the rubber, and the dissipating material includes ultrasound backing materials.
Thus, the longitudinal wave 8610 incident into the wave energy dissipater 8600 is converted to the transverse wave 8620, to be transmitted to the dissipating material 8602, and then is dissipated. Here, the heat 8605 generated with dissipating the transverse wave 8620 may be used for the ultrasound treatment.
According to the present example embodiments, an elastic wave mode may be converted very efficiently, using the anisotropic media and the filter satisfying the condition in which the transmodal Fabry-Pérot resonance occurs.
Here, the anisotropic media and the filter may be fabricated by various kinds of structures and materials, and thus the elastic wave mode conversion may be performed variously and various kinds and combination of the wave modes may be performed considering the needs of fields.
In addition, the ultrasound transducer and the wave energy dissipater are performed using the filter, and thus the elastic wave mode may be converted, the transverse wave which is not easy to be excited conventionally may be excited more easily via the effective mode conversion, and the wave energy may be dissipated more efficiently using the mode conversion.
Although the exemplary embodiments of the present invention have been described, it is understood that the present invention should not be limited to these exemplary embodiments but various changes and modifications can be made by one ordinary skilled in the art within the spirit and scope of the present invention as hereinafter claimed.
Number | Date | Country | Kind |
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10-2017-0093842 | Jul 2017 | KR | national |
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Number | Date | Country | |
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20180374466 A1 | Dec 2018 | US |
Number | Date | Country | |
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Parent | PCT/KR2017/006518 | Jun 2017 | US |
Child | 16044483 | US |