The present disclosure relates to a metamaterial and an antenna including the metamaterial.
Metamaterials having adjustable electromagnetic properties, such as permittivity and magnetic permeability, are expected to be applied to various technologies, such as optical camouflage, radar avoidance, and small antennae. An example of the metamaterials is disclosed in Patent Literature 1. A metamaterial film disclosed in Patent Literature 1 includes a resin film that allows transmission of an electromagnetic wave having a certain wavelength, more specifically, a wavelength of 400 nm or more and 2,000 nm or less, and a plurality of micro-resonators included in the resin film and configured to resonate with the electromagnetic wave having a certain wavelength.
When a laminate of the metamaterial films disclosed in Patent Literature 1 is bent into, for example, a partially cylindrical shape, the curvature of an outer circumferential surface is larger than the curvature of an inner circumferential surface. As a result, the metamaterial films have a largest tensile stress on the outer circumferential surface and a largest compressive stress on the inner circumferential surface.
The increased tensile stress or compressive stress increases force applied to the micro-resonators included in the resin film, which may deform the micro-resonators. The desired electromagnetic properties become unattainable when the micro-resonators deform. This makes attachment of the laminate of the metamaterial films to a curved surface problematic.
In view of the above circumstances, an objective of the present disclosure is to provide a metamaterial attachable to a curved surface, and an antenna including the metamaterial.
To achieve the above objective, a metamaterial according to an aspect of the present disclosure includes a plurality of films, a plurality of micro-resonators, and a stress relieving member. The plurality of films transmit a target electromagnetic wave that is an electromagnetic wave having a frequency within a target frequency range, and are arrayed with main surfaces of the plurality of films facing each other. The plurality of micro-resonators are each made of an electrically conductive material and included in each of the plurality of films, and resonate with the target electromagnetic wave. The stress relieving member is disposed between two mutually-adjacent films of the plurality of films, transmits the target electromagnetic wave, and has a lower elastic modulus than the plurality of films.
The metamaterial according to the above aspect of the present disclosure includes the stress relieving member disposed between the mutually-adjacent films and having the lower elastic modulus than the films. When stresses generated in the films upon bending of the metamaterial are transferred to the stress relieving member, the stress relieving member deforms. This suppresses transfer, between the films, of the stresses generated in the films upon bending of the metamaterial and reduces force applied to the micro-resonators included in each of the films, compared with a laminate of the films alone. As a result, the metamaterial becomes attachable to a curved surface.
A metamaterial and an antenna according to embodiments of the present disclosure are described in detail below with reference to the drawings. In the drawings, components that are the same or equivalent are assigned the same reference sign.
A metamaterial 1 according to Embodiment 1 is described using, as an example of the metamaterial 1, a metamaterial structure to be used to extend a scan range of an antenna. The metamaterial 1 according to Embodiment 1 as illustrated in
As illustrated in
The films 11, 12, and 13 are arrayed in the Z-axis direction with the main surfaces facing each other. Specifically, the films 11, 12, and 13 each have two main surfaces orthogonal to the Z-axis direction in a state as illustrated in
The films 11, 12, and 13 transmit the target electromagnetic wave, such as an electromagnetic wave within a gigahertz range, more specifically, a millimeter-waveband electromagnetic wave having a wavelength of 1 mm or more and 10 mm or less. The films 11, 12, and 13 are made of resin, such as polyimide, polyolefn, cyclic polyolefin, polymethyl methacrylate, polyester resin, cycloaliphatic epoxy, fluoropolymer, or thermoplastic elastomer. The films 11, 12, and 13 are made of resin as described above and are bendable.
The plurality of micro-resonators 31 is two-dimensionally arrayed on a surface of each of the films 11, 12, and 13, or is two-dimensionally or three-dimensionally arrayed inside each of the films 11, 12, and 13. When the plurality of micro-resonators 31 is included inside the film 11, for example, the plurality of micro-resonators 31 may be arranged on a surface of a film layer included in the film 11, another film layer included in the film 11 may be laminated thereon, and the film layers may adhere to each other by thermal compression.
Each of the micro-resonators 31 is made of an electrically conductive material and resonates with the target electromagnetic wave. For example, metal, alloy, an electrically conductive metallic oxide, a high polymer semiconductor, and the like are used as the electrically conductive material. The micro-resonator 31 has a shape such that an induced current is generated by resonance when the target electromagnetic wave enters the micro-resonator 31. In Embodiment 1, split-ring resonators having a partially-circular shape are used as the micro-resonators 31.
By inclusion of the plurality of micro-resonators 31 in the films 11, 12, and 13, desired electromagnetic properties of the metamaterial 1, more specifically, desired permittivity and magnetic permeability of the metamaterial 1 can be achieved. Setting of each of the permittivity and magnetic permeability of the metamaterial 1 to be a negative value allows a refractive index of the metamaterial 1 to have a negative value, for example. The thicknesses of the films 11, 12, and 13 in the Z-axis direction and the thicknesses of the stress relieving members 21 and 22 in the Z-axis direction when no external force is applied as illustrated in
The stress relieving members 21 and 22 are disposed between the films 11, 12, and 13 and transmit the target electromagnetic wave. Specifically, the stress relieving member 21 is disposed between the films 11 and 12 and in contact with the films 11 and 12. The stress relieving member 22 is disposed between the films 12 and 13 and in contact with the films 12 and 13. The contact includes direct contact and indirect contact via another material. The stress relieving members 21 and 22 may be made of a material that transmits electromagnetic waves including the target electromagnetic wave.
The stress relieving members 21 and 22 have a lower elastic modulus than the films 11, 12, and 13. Thus, when receiving stresses generated in the films 11, 12, and 13 upon bending of the metamaterial 1, the stress relieving members 21 and 22 deform. Deformation of the stress relieving members 21 and 22 suppresses transfer, among the films 11, 12, and 13, of the stresses generated upon bending of the metamaterial 1.
The stress relieving members 21 and 22 are preferably made of a material adherent or pressure-sensitively adherent to the films 11, 12, and 13, such as an acrylic pressure-sensitive adhesive, a silicone pressure-sensitive adhesive, a urethane pressure-sensitive adhesive, a rubber pressure-sensitive adhesive, a silicone adhesive, or an acrylic adhesive. This allows the stress relieving member 21 to attach to the films 11 and 12 and the stress relieving member 22 to attach to the films 12 and 13, and suppresses mutual misalignment of components of the metamaterial 1, more specifically, mutual misalignment of the films 11, 12, and 13 and the stress relieving members 21 and 22.
As illustrated in
By applying force to the metamaterial 1 in a state illustrated in
In the bent metamaterial 1, one main surface of the film 11, more specifically, a positive Z-axis direction side main surface of the film 11 forms a convex surface 11a protruding in the Z-axis direction. The other main surface of the film 11, more specifically, the negative Z-axis direction side main surface of the film 11 is positioned on a side opposite to the convex surface 11a and forms a concave surface 11b recessed in the Z-axis direction. The negative Z-axis direction side main surface of the film 11 is a surface of the film 11 facing the film 12.
Similarly, one main surface of the film 12, more specifically, a positive Z-axis direction side main surface of the film 12 forms a convex surface 12a protruding in the Z-axis direction. The positive Z-axis direction side main surface of the film 12 is a surface of the film 12 facing the film 11. The other main surface of the film 12, more specifically, a negative Z-axis direction side main surface of the film 12 is positioned on a side opposite to the convex surface 12a and forms a concave surface 12b recessed in the Z-axis direction. The negative Z-axis direction side main surface of the film 12 is a surface of the film 12 facing the film 13.
Similarly, one main surface of the film 13, more specifically, a positive Z-axis direction side main surface of the film 13 forms a convex surface 13a protruding in the Z-axis direction. The positive Z-axis direction side main surface of the film 13 is a surface of the film 13 facing the film 12. The other main surface of the film 13, more specifically, a negative Z-axis direction side main surface of the film 13 is positioned on a side opposite to the convex surface 13a, and forms a concave surface 13b recessed in the Z-axis direction.
The desired electromagnetic properties of the metamaterial 1 can be achieved by inclusion of the plurality of micro-resonators 31 in each of the films 11, 12, and 13 bent as described above. An electromagnetic wave that has entered the metamaterial 1 from the film 13 can be refracted in a direction away from a central axis AX1 indicating the center of the metamaterial 1 in the X-axis direction, and can come out of the film 11, for example.
The metamaterial 1 including the above structure can be used for various purposes. In one example, the metamaterial 1 may be used in an antenna 100 as illustrated in
The metamaterial 1 can be bent as illustrated in
Refraction of electromagnetic waves transmitted from the plurality of antenna elements 41 can be achieved by attachment of the metamaterial 1 to the radome 43. In the antenna 100 as illustrated in
The following description is directed to a structure for suppressing application of excessive force to the micro-resonators 31 in the bent metamaterial 1. As a comparative example, a metamaterial 9 that does not include stress relieving members is illustrated in
When the films 91 to 95 having a flat-plate shape are brought in contact with each other, fixed to each other with an adhesive or a pressure-sensitive adhesive, which is not illustrated, and bent by applying force similarly to the metamaterial 1, the obtained metamaterial 9 is bent around a bending line L2 as illustrated in
In the bent metamaterial 9, the film 91 includes a convex surface 91a protruding in the Z-axis direction, and a concave surface 91b positioned on a side opposite to the convex surface 91a and recessed in the Z-axis direction. Similarly, the film 92 includes a convex surface 92a protruding in the Z-axis direction, and a concave surface 92b positioned on a side opposite to the convex surface 92a and recessed in the Z-axis direction. Similarly, the film 93 includes a convex surface 93a protruding in the Z-axis direction, and a concave surface 93b positioned on a side opposite to the convex surface 93a and recessed in the Z-axis direction. Similarly, the film 94 includes a convex surface 94a protruding in the Z-axis direction, and a concave surface 94b positioned on a side opposite to the convex surface 94a and recessed in the Z-axis direction. Similarly, the film 95 includes a convex surface 95a protruding in the Z-axis direction, and a concave surface 95b positioned on a side opposite to the convex surface 95a and recessed in the Z-axis direction. The concave surfaces 91b, 92b, 93b, and 94b are in contact with the convex surfaces 92a, 93a, 94a, and 95a, respectively.
When the films 91 to 95 fixed to each other are bent, films farther away from the bending line L2, such as the film 91, are more widely stretched in a circumferential direction around the bending line L2 than films closer to the bending line L2, such as the film 95. As a result, in the bent metamaterial 9, the shapes of the films 91 to 95 are different from each other. In other words, the curvatures of the convex surfaces 91a, 92a, 93a, 94a, and 95a are different from each other. Similarly, the curvatures of the concave surfaces 91b, 92b, 93b, 94b, and 95b are different from each other.
As illustrated in
The curvature radius R93 of the convex surface 93a is larger than a curvature radius R95 of the convex surface 95a. In other words, the curvature radius R95 of the convex surface 95a is smaller than the curvature radius R93 of the convex surface 93a. Since compressive stress generated upon bending increases as the curvature radius decreases, a larger compressive stress is generated in the bent film 95 than in the bent film 93.
Due to the large differences in the stresses generated in the films 91 to 95 as described above, larger force may be applied to some of the micro-resonators than the other micro-resonators in the metamaterial 9. Thus, the metamaterial 9 is to be bent such that force applied to the micro-resonators is within an acceptable range. Accordingly, when the metamaterial 9 is used in an antenna, the shape of a radome to which the metamaterial 9 is attached may be restricted.
In the metamaterial 1 as illustrated in
Specifically, in the bent metamaterial 1, the stress relieving member 21 has different thicknesses at different positions of the stress relieving member 21 in a sandwiching direction between the films 11 and 12. A thickness d1 of the stress relieving member 21 at the edges in the X-axis direction is smaller than a thickness d2 of the stress relieving member 21 at the center in the X-axis direction, for example. Similarly, in the bent metamaterial 1, the stress relieving member 22 has different thicknesses at different positions of the stress relieving member 22 in a sandwiching direction between the films 12 and 13.
Deformation of the stress relieving members 21 and 22 by receiving the force from the films 11, 12, and 13 as described above provides smaller differences in the shapes of the films 11, 12, and 13 compared with the differences in the case of the metamaterial 9.
In the section parallel to an XZ-plane, the center of a circular arc corresponding to the convex surface 11a is taken to be a point C11, the center of a circular arc corresponding to the convex surface 12a is taken to be a point C12, and the center of a circular arc corresponding to the convex surface 13a is taken to be a point C13. The points C11, C12, and C13 are positioned with spaces therebetween in the Z-axis direction. Differences in a curvature radius R11 of the convex surface 11a, a curvature radius R12 of the convex surface 12a, and a curvature radius R13 of the convex surface 13a are sufficiently reduced compared with the differences in the case of the metamaterial 9.
When the curvature radius R11 of the convex surface 11a, the curvature radius R12 of the convex surface 12a, and the curvature radius R13 of the convex surface 13a are deemed to be the same, for example, tensile stresses generated in the bent films 11, 12, and 13 are deemed to be the same. Similarly, when curvature radiuses of the concave surfaces 11b, 12b, and 13b are deemed to be the same, compressive stresses generated in the bent films 11, 12, and 13 are deemed to be the same.
The reduced differences in the stresses generated in the films 11 to 13 upon bending compared with the metamaterial 9 as described above can suppress application of excessive force to the micro-resonators 31 upon bending. When the metamaterial 1 is used in the antenna 100, restrictions on the shape of the radome 43 are reduced compared with the metamaterial 9.
As described above, the metamaterial 1 according to Embodiment 1 including the stress relieving members 21 and 22 reduces differences in degrees of deformation of the films 11, 12, and 13 due to bending, and suppresses excessive force applied to the micro-resonators 31 included in the films 11, 12, and 13. Since the excessive force applied to the micro-resonators 31 upon bending is suppressed, restrictions on deformation of the metamaterial 1 are reduced, and the metamaterial 1 becomes attachable to a curved surface.
The structure of the metamaterial 1 is not limited to that of the above example. A metamaterial 2 including spacers to regulate spaces between the films 11 to 13 in the arrangement direction is described in Embodiment 2, focusing on differences from the metamaterial 1 according to Embodiment 1.
The metamaterial 2 as illustrated in
The stress relieving member 21a is in contact with the film 11 and the spacer 51, and the stress relieving member 21b is in contact with the film 12 and the spacer 51. The stress relieving member 22a is in contact with the film 12 and the spacer 52, and the stress relieving member 22b is in contact with the film 13 and the spacer 52.
The stress relieving members 21a, 21b, 22a, and 22b are made of the same material as the stress relieving members 21 and 22 included in the metamaterial 1 according to Embodiment 1. Thus, the stress relieving members 21a, 21b, 22a, and 22b have a lower elastic modulus than the films 11, 12, and 13 and deform when receiving stresses generated in the films 11, 12, and 13 upon bending of the metamaterial 2. Deformation of the stress relieving members 21a, 21b, 22a, and 22b suppresses transfer, among the films 11, 12, and 13, of the stresses generated upon bending.
The spacers 51 and 52 transmit the target electromagnetic wave and have a higher elastic modulus than the stress relieving members 21a, 21b, 22a, and 22b. The spacers 51 and 52 are made of the same material as the films 11, 12, and 13, for example. In this case, the spacers 51 and 52 deform similarly to the films 11, 12, and 13. The spacer 51 disposed between the stress relieving members 21a and 21b is in contact with the stress relieving members 21a and 21b. The spacer 52 disposed between the stress relieving members 22a and 22b is in contact with the stress relieving members 22a and 22b.
The thicknesses of the spacers 51 and 52 are determined in accordance with electromagnetic properties desired for the metamaterial 2. In accordance with the thicknesses of the spacers 51 and 52, spaces between the micro-resonators 31 included in each of the films 11, 12, and 13 can be regulated to change the electromagnetic properties of the metamaterial 2.
When no external force is applied, as illustrated in
By applying force, in the same manner as Embodiment 1, to the metamaterial 2 in a state illustrated in
As described above, in the metamaterial 2 according to Embodiment 2 including the spacers 51 and 52, the spaces between the films 11, 12, and 13 can be regulated to achieve the desired electromagnetic properties of the metamaterial 2.
The present disclosure is not limited to the above embodiments. In the metamaterial 2, a plurality of spacers may be disposed between two mutually-adjacent films, more specifically, between the films 11 and 12 and between the films 12 and 13, for example.
The metamaterial 3 as illustrated in
The stress relieving members 21a, 21b, 21c, 22a, 22b, and 22c are made of the same material as the stress relieving members 21 and 22 included in the metamaterial 1 according to Embodiment 1. The spacers 51a, 51b, 52a, and 52b are made of the same material as the spacers 51 and 52 included in the metamaterial 2 according to Embodiment 2.
Inclusion of the plurality of spacers 51a and 51b disposed between the films 11 and 12 and inclusion of the plurality of spacers 52a and 52b disposed between the films 12 and 13 allows expansion of the spaces between the films 11, 12, and 13 and regulation of the spaces to be desired values.
The shape of the spacers is not limited to that of the above examples. As an example, a metamaterial 4 including the spacers 51 and 52 each having a non-uniform thickness is illustrated in
As illustrated in
The non-uniform thicknesses of the spacers 51 and 52 allow the films 11, 12, and 13 to have different curvatures. Due to the curvature of the film 11 being smaller than the curvatures of the films 12 and 13, for example, an electromagnetic wave that has entered the metamaterial 4 from the film 13 is refracted in the direction away from the central axis AX1 indicating the center of the metamaterial 4 in the X-axis direction, and comes out of the film 11. As a result, when the metamaterial 4 is used in the antenna 100 as illustrated in
The shape of the stress relieving members is not limited to that of the above examples. As an example, a metamaterial 5 including the stress relieving member 21a having a non-uniform thickness is illustrated
In a state in which the stress relieving member 21a is not deformed by receiving force from the film 11 in contact with the stress relieving member 21a, the stress relieving member 21a has different thicknesses at different positions of the stress relieving member 21a in a sandwiching direction between the films 11 and 12. The thickness of the stress relieving member 21a at the center in the X-axis direction is larger than the thickness of the stress relieving member 21a at the edges in the X-axis direction, for example.
The width of the spacer 51a in the X-axis direction is shorter than the X-axis direction width of the spacer 51b. The area of a main surface of the spacer 51a in contact with the stress relieving member 21a is smaller than the area of a main surface of the stress relieving member 21a. The area of a main surface of the spacer 51a in contact with the stress relieving member 21b is smaller than the area of a main surface of the stress relieving member 21b. The area of a main surface of the spacer 51b in contact with the stress relieving member 21b is smaller than the area of a main surface of the stress relieving member 21b. The area of a main surface of the spacer 51b in contact with the stress relieving member 21c is smaller than the area of a main surface of the stress relieving member 21c.
By applying force to the metamaterial 5 as illustrated in
The metamaterial 5 including the above structure is used in an antenna 101 as illustrated in
The method of attachment of the films and the stress relieving members is not limited to that of the above examples. As an example, a metamaterial 6 including attachment materials to cause the films and the stress relieving members to adhere or pressure-sensitively adhere to each other is illustrated in
The attachment materials 61, 62, 63, and 64 are made of an acrylic pressure-sensitive adhesive, a silicone pressure-sensitive adhesive, a urethane pressure-sensitive adhesive, a rubber pressure-sensitive adhesive, a silicone adhesive, or an acrylic adhesive, for example. The attachment materials 61, 62, 63, and 64 may be made of the same material, or at least one of the attachment materials 61, 62, 63, and 64 may be made of a different material.
The attachment material 61 is in contact with the film 11 and the stress relieving member 21, and causes the film 11 and the stress relieving member 21 to adhere or pressure-sensitively adhere to each other. The attachment material 62 is in contact with the film 12 and the stress relieving member 21, and causes the film 12 and the stress relieving member 21 to adhere or pressure-sensitively adhere to each other. The attachment material 63 is in contact with the film 12 and the stress relieving member 22, and causes the film 12 and the stress relieving member 22 to adhere or pressure-sensitively adhere to each other. The attachment material 64 is in contact with the film 13 and the stress relieving member 22, and causes the film 13 and the stress relieving member 22 to adhere or pressure-sensitively adhere to each other.
The metamaterial 6 including the attachment materials 61, 62, 63, and 64 as described above allows the stress relieving member 21 to be attached to films 11 and 12 and the stress relieving member 22 to be attached to films 12 and 13. As a result, mutual misalignment of the components of the metamaterial 6, more specifically, mutual misalignment of the films 11, 12, and 13 and the stress relieving members 21 and 22 can be suppressed.
In another example, the films 11, 12, and 13 and the stress relieving members 21 and 22 may adhere to each other by thermal bonding.
The method of deformation of films 11, 12, and 13 is not limited to that of the above examples. The films 11, 12, and 13 may be deformed in any manner in accordance with the shapes of positions to which the metamaterials 1 to 6 are attached. In an example, the convex surface 11a and the concave surface 11b included in the deformed film 11, the convex surface 12a and the concave surface 12b included in the deformed film 12, and the convex surface 13a and the concave surface 13b included in the deformed film 13 may have a shape like a portion of a spherical surface. In this case, the metamaterial 1 deformed as described above attached to the radome 43 can expand the X-axis direction and Y-axis direction widths of the radiation range of the antenna 100 and extend the scan range.
The position of attachment of the metamaterial 1 to the radome 43 is not limited to that of the above examples. In an example, the metamaterial 1 may be attached to a surface of the radome 43 facing the antenna elements 41. The same applies to the metamaterials 2 to 4 and 6.
The material used for the metamaterials 1 to 6 may have plasticity. In an example, the stress relieving members 21 and 22 in the metamaterial 1 may be made of a material having plasticity.
The shape of the micro-resonators 31 is not limited to that of the above examples. The micro-resonators 31 are any resonators that resonate with the target electromagnetic wave. The shape of the micro-resonators 31 may be a circular arc, a U shape, a V shape, an L shape, a lattice, a spiral, or a circle, for example.
The target electromagnetic wave may be an electromagnetic wave other than the electromagnetic wave within the gigahertz range. In an example, the target electromagnetic wave may be an electromagnetic wave within a terahertz range, such as an electromagnetic wave having a wavelength of 300 μm or more and 3 mm or less.
The foregoing describes some example embodiments for explanatory purposes. Although the foregoing discussion has presented specific embodiments, persons skilled in the art will recognize that changes may be made in form and detail without departing from the broader spirit and scope of the invention. Accordingly, the specification and drawings are to be regarded in an illustrative rather than a restrictive sense. This detailed description, therefore, is not to be taken in a limiting sense, and the scope of the invention is defined only by the included claims, along with the full range of equivalents to which such claims are entitled.
Filing Document | Filing Date | Country | Kind |
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PCT/JP2021/044862 | 12/7/2021 | WO |