Patent Application
20230218247
The present application discloses x-ray sources for generating x-rays by electron bombardment.
One widely used method and system for generating x-rays is to impact an anode with energetic electrons generated by an electron column. The anode material, such as copper (Cu) or molybdenum (Mo), is selected for its x-ray spectral properties (e.g., for its characteristic fluorescent x-rays). Because electrons strongly interact with matter (e.g., gas through which the electrons traverse while propagating from the electron column to the anode), the electron column and the x-ray anode are housed inside a vessel with vacuum better than 10-6 torr. Because it is highly inconvenient to use x-rays inside a high vacuum vessel for many applications (e.g., materials characterization/analysis/imaging), the vacuum vessel typically comprises an x-ray/vacuum window that allows x-rays to transmit through the window while separating the high vacuum region inside the vacuum vessel containing the electron column and the anode from the low/no vacuum region outside the vacuum vessel. Such conventional x-ray/vacuum windows have substantial transmittance for higher energy x-rays but low transmittance for low-energy x-rays.
In certain implementations, an x-ray source comprises at least one housing configured to contain a first region at a pressure less than one atmosphere and configured to separate the first region from an ambient environment outside the at least one housing. The at least one housing comprises an x-ray transmissive window having an x-ray transmittance greater than or equal to 20% for at least some x-rays having an x-ray energy less than 1 keV. The x-ray source further comprises an electron source within the at least one housing. The electron source is configured to generate at least one electron beam. The x-ray source further comprises an anode assembly within the at least one housing and configured to generate x-rays in response to electron bombardment by at least some of the electrons of the at least one electron beam from the electron source. The x-ray source further comprises at least one x-ray optic within the at least one housing. The at least one x-ray optic is configured to receive at least some of the x-rays from the anode assembly and to direct at least some of the received x-rays to the window to form an x-ray beam.
X-ray sources with conventional x-ray/vacuum windows are not compatible with applications that seek to utilize low-energy x-rays (e.g., less than 1 keV). For many applications, low energy x-rays offer advantages (e.g., large ionization cross sections for most elements in the periodic table, especially elements with low atomic numbers, referred to as low-Z elements). For many applications, low energy x-rays with certain x-ray spectral property are desired (e.g., narrow spectral bandwidth for generating photoelectrons of low kinetic energies and narrow energy spread; specific x-ray energies for optimizing the ionization cross sections of selected elements). Low energy x-rays with high flux, especially x-rays of energies less than 1 keV, outside the vacuum vessel can be desirable and/or critical for various applications.
Conventional x-ray sources have difficulty meeting these desirable attributes due to the conflicting requirements of the x-ray system and the vacuum system. To increase the output x-ray flux for low energy x-rays (e.g., having more low energy x-rays exit the window), it can be desirable to have a window with a high x-ray transmittance for low energy x-rays and to have a window sufficiently large so low energy x-rays propagating over a large emission angle can pass through the window. While having a thin window made from low-Z elements can provide the high x-ray transmittance for low energy x-rays, such thin windows are typically fragile, especially if the thin window is sufficiently large to receive low-energy x-rays over a large emission angle. Furthermore, such a large, thin window would need to survive various harsh conditions in producing and processing the x-ray source (e.g., high temperature bakeout; pressure differentials between the two sides of the window; transportation from manufacturers to customers).
In addition, to generate characteristic x-rays of energies below 1 keV while generating less Bremsstrahlung radiation, anode materials comprising mostly low-Z elements (e.g., boron to fluorine) can be desired since the amount of Bremsstrahlung radiation generated from the anode materials is proportional to the mean atomic numbers (Z) of the anode materials. Because it can be desirable to have an electrically conductive path (e.g., to ground) from the anode material to prevent charging by the incident electrons, and bulk low-Z materials typically are insulators (except for B and C), metals of atomic number greater than 12 (the atomic number of Mg) are often used as the anode material, resulting in substantial Bremsstrahlung radiation.
In certain implementations, the x-ray beam 152 has a cross-sectional area perpendicular to the propagation direction of the x-ray beam 152, and the cross-sectional area is a function of distance from the at least one x-ray optic 150 (e.g., the cross-sectional area at a first location a first distance from the at least one x-ray optic 150 differs from the cross-sectional area at a second location a second distance from the at least one x-ray optic 150, the second distance greater than the first distance). The cross-sectional area can have a minimal value (e.g., a minimal area as compared to the cross-sectional areas at all other locations along the propagation direction of the x-ray beam 152 from the at least one x-ray optic 150) at a position 160 (e.g., focal point of the at least one x-ray optic 150; position of the smallest beam waist of the x-ray beam 152), the position 160 at or near the window 120 (e.g., at a location within 30 millimeters of the window 120; within 20 millimeters of the window 120; within 5 millimeters from the window 120; within 2 millimeters from the window 120; within 1 millimeter from the window 120; the position 160 can be within the first region 112, coincident with the window 120, or outside the at least one housing 110). For example, the x-ray beam 152 at the position 160 (e.g., the waist of the x-ray beam 152) can have a cross-sectional width (e.g., diameter) in a range of 3 microns to 300 microns, 10 microns to 1 millimeter, less than 2 millimeters, less than 200 microns, and/or less than 50 microns and/or a cross-sectional area in a range of 100 square microns to 5 square millimeters (e.g., 0.004 square millimeter to 5 square millimeters; 0.01 square millimeter to 5 square millimeters).
In certain implementations, the second housing 110b comprises at least one second x-ray optic 182 within the third region 180, the at least one second x-ray optic 182 configured to receive at least some of the x-rays of the x-ray beam 152 transmitted through the window 120 and to condition the received x-rays (e.g., in spectral property and/or angular distribution) to transmit a second x-ray beam 184 (e.g., a collimated x-ray beam; a focused x-ray beam; a converging x-ray beam). The at least one second x-ray optic 182 can comprise at least one monocapillary lens, at least one polycapillary lens, a KB mirror pair, a zone plate, a plurality of monocapillary lenses nested along a common axis, or a Wolter optic. In certain implementations, the at least one second x-ray optic 182 comprises a reflective mirror optic having at least portion of the mirror surface with a quadric surface profile in at least one direction (e.g., ellipstic, parabolic, hyperbolic, ellipsoid, paraboloid, hyperboloid). For example, the at least one second x-ray optic 182 can comprise an ellipsoidal surface (e.g., having a first focus within 2 millimeters from the window 120 and a second focus within 2 millimeters from an opening of the second housing 110b) or a pair of substantially symmetric paraboloidal surfaces (e.g., a first paraboloidal surface having a first focus within 2 millimeters from the window 120 and a second paraboloidal surface having a second focus within 2 millimeters from an opening of the second housing 110b). For example, the at least one second x-ray optic 182 can be configured to receive (e.g., collect) x-rays of the x-ray beam 152 transmitted through the window 120 (e.g., diverging x-rays) and to direct at least some of the received x-rays from the window 120 to form the second x-ray beam 184 (e.g., a collimated x-ray beam; a focused x-ray beam; a converging x-ray beam).
The second housing 110b can further comprise at least one vacuum valve 186 at the opening of the second housing 110b and configured to controllably separate the third region 180 from the second region 170 (e.g., ambient environment). The at least one vacuum valve 186 can comprise a gate valve (e.g., manually or pneumatically operated) and can be used to protect the window 120 (e.g., during vacuum baking of the x-ray source 100) and/or to facilitate transportation and storage of components within the second housing 110b.
In certain implementations, the at least one vacuum valve 186 can be controllably opened to allow the second x-ray beam 184 from the at least one second x-ray optic 182 to propagate out of the second housing 110b (e.g., to a sample being analyzed downstream of the at least one vacuum valve 186). In certain such implementations, the window 120 can separate the first region 112 that is at a first vacuum pressure (e.g., less than 1 torr; less than 10-4 torr; less than 10-6 torr; less than 10-8 torr) from the third region 180 that is at a second vacuum pressure that is less than atmospheric pressure but is greater than the first vacuum pressure (e.g., in a range of 1 torr to 500 torr; in a range of 20 torr to 200 torr). Such a configuration can avoid having a large pressure differential across the window 120 and the window 120 can be sufficiently thin to transmit a substantial fraction of the low energy x-rays while having a larger width (e.g., 1 millimeter or more).
In certain implementations (e.g., as shown in
In certain implementations, the window 120 is configured to withstand (e.g.. maintain) a pressure differential between the first region 112 within the at least one housing 110 (e.g.. at a first pressure less than 1 atmosphere) and the second region 170 outside the at least one housing 110 (e.g., at a second pressure greater than the first pressure).
In certain implementations, the window 120 comprises a substrate 122 (e.g., frame) and an x-ray transmissive element 124 (e.g.. a membrane; plate) affixed to the substrate 122. The substrate 122 can be affixed (e.g., mounted and sealed) to the wall 111 surrounding the aperture 114 and the element 124 can be affixed (e.g., mounted and sealed) to the substrate 122 over the aperture 114. The element 124 can have a thickness that is less than 1 micron, less than 0.2 micron, and/or less than 0.05 micron. The materials of the transmission element 124 and the substrate 122 can be the same as one another or can be different from one another. In certain implementations, in which the materials of the transmission element 124 and the substrate 122 are different from one another, the transmission element 124 and the substrate 122 can be attached to one another with a vacuum-tight seal.
In certain implementations, the x-ray transmissive element 124 of the window 120 has an x-ray transmittance greater than 20% for x-rays having energies in a range (e.g., bandwidth) less than 1 keV. In certain implementations, the element 124 has at least one dimension (e.g., a first width perpendicular to the propagation direction of the x-ray beam 152; a second width perpendicular to the propagation direction of the x-ray beam 152 and perpendicular to the first width) less than or equal to 5 millimeters (e.g., less than or equal to 1 millimeter; less than or equal to 0.3 millimeter; less than or equal to 0.1 millimeter). In certain implementations, the element 124 is configured to allow at least some of the x-ray beam 152 to propagate from the at least one x-ray optic 150 in the first region 112 within the at least one housing 110 to the second region 170 outside the at least one housing 110 (see, e.g.,
In certain implementations, the x-ray transmissive window 120 comprises a plurality of x-ray transmissive elements 124 to simplify the alignment of the x-ray beam 152 with the window 120. In certain implementations, the at least one housing 110 comprises a plurality of x-ray transmissive windows 120, the individual windows 120 comprising different x-ray transmissive elements 124 from one another and providing different x-ray spectral transmission properties as one another (e.g., such that the x-rays transmitted through the different windows 120 have different spectral properties from one another). For example, the at least one x-ray optic 150 can be moved to direct the x-ray beam 152 to impinge and pass through a selected x-ray transmissive element 124 of the plurality of x-ray transmissive elements 124. For another example, the plurality of x-ray transmissive elements 124 can be mounted on a flange that is connected to the at least one housing 110 by an assembly comprising a bellows configured to be adjusted (e.g., moved) to have the x-ray beam 152 impinge and pass through a selected x-ray transmissive element 124 of the plurality of x-ray transmissive elements 124 (e.g., a selected window 120 of the plurality of windows 120 in a path of the x-ray beam 152) and a brace configured to prevent collapse of the bellows due to the force of ambient pressure on one side of the bellows and vacuum pressure on the other side of the bellows.
In certain implementations, the aperture 114 of the at least one housing 110 and the window 120 are at a fixed position relative to other portions of the at least one housing 110, while in certain other implementations, the aperture 114 and the window 120 are configured to be moved relative to other portions of the at least one housing 110. For example, the at least one housing 110 can comprise a bellows between a first portion and a second portion of the at least one housing 110, the first portion comprising the aperture 114 (with the window 120 affixed over the aperture 114) and in mechanical communication with a stage configured to adjust a position of the aperture 114 and the window 120 relative to the x-ray beam 152. The stage can be moved (e.g., along a single direction or along two or three directions orthogonal to one another) such that the aperture 114 and/or the window 120 are at or near a minimum cross-sectional area (e.g., waist) of the x-ray beam 152.
In certain implementations, the at least one anode 146 has an electrically conductive path from the at least one target structure 144 to the substrate 147 and the substrate 147 has an electrically conductive path to ground such that the substrate 147 is configured to prevent electrical charging of the at least one target structure 144 by the at least one electron beam 132. In certain implementations, the at least one target structure 144 comprises at least one ceramic layer 148 in thermal communication with the substrate 147 and having a thickness that is sufficiently thin for electrons to tunnel through the at least one ceramic layer 148 to the substrate 147 (e.g., having a thickness in a range of 0.1 micron to 10 microns) to prevent electrical charging of the at least one ceramic layer 148 by the at least one electron beam 132. In certain implementations, the at least one ceramic layer 148 comprises at least one material configured to generate x-rays 142 having predetermined x-ray spectral properties in response to bombardment by the at least one electron beam 132. In certain implementations, the at least one ceramic layer 148 has a surface facing the at least one electron beam 132, the surface having a surface normal direction that is oriented at an angle (e.g., in a range of 0 degrees to 80 degrees) relative to the propagation direction of the at least one electron beam 132.
For example, the at least one ceramic layer 148 can comprise at least one material (e.g., boride, carbide, nitride, oxide, fluoride) comprising at least one low-Z element (e.g., lithium, beryllium, boron, carbon, nitrogen, oxygen, fluorine). The at least one low-Z element can generate x-rays 142 having (i) characteristic K line or L line x-ray energies that are less than 1 keV and that have narrow spectral line widths (e.g., less than 2 eV), and (ii) high intensity ratio of characteristic K line or L line x-rays 142 to Bremsstrahlung radiation x-rays. In certain implementations, the spectral line width of the x-rays 142 is sufficiently narrow to optimize photoelectron production cross section, kinetic energy, and chemical state analysis for x-ray photoelectron spectroscopy and the intensity ratio of the K line x-rays 142 to Bremsstrahlung radiation x-rays is sufficiently high to provide a quasi-monochromatic x-ray spectrum. In certain implementations, the spectral line width of the x-rays 142 is sufficiently narrow to optimize a signal-to-noise ratio for x-ray fluorescence analysis of low energy characteristic fluorescence x-rays for semiconductor thin film and material metrology applications, with the intensity ratio of the K line x-rays 142 to Bremsstrahlung radiation x-rays being sufficiently high to provide a quasi-monochromatic x-ray spectrum. In certain implementations, the energy of the K line x-rays 142 is selected to optimize the fluorescence cross section of certain element of interest above the absorption edge of the element (e.g., 100 eV above the absorption edge).
In certain implementations, the at least one target structure 144 comprises at least one layer containing at least one element in the third or fourth rows of the periodic table or at least one compound of such an element with a low-Z element (e.g., BeO, B4C, MgO, Al2O3, SiC, CaB6, diamond/graphite, LiF, and TiB2). For compounds with low electrical conductivity, the substrate 147 can provide an electrically conductive path (e.g., to ground) to prevent electrical charging of the at least one anode 146 by the at least one electron beam 132. For example, the at least one target structure 144 can comprise a ceramic layer 148 comprising MgO (e.g., configured to generate Mg K and L x-ray emission line x-rays and O K x-ray emission line x-rays) on an underlying diamond structure of the substrate 147 in thermal communication with a metal (e.g., Cu) portion of the substrate 147 (e.g., the diamond structure on or embedded in a surface of the metal portion of the substrate 147). The at least one target structure 144 can comprise at least one thermally and/or electrically conductive layer between the MgO ceramic layer 148 and the diamond structure and/or between the diamond structure and the metal portion of the substrate 147.
In certain implementations, the at least one target structure 144 further comprises at least one additional target structure 144 (e.g., spaced from the target structure 144 comprising the low-Z element, the at least one additional target structure 144 comprising at least one metal (e.g., Ti, Sc, V, Cr, Cu, Fe, Co, Ni, Zr, Mo) configured to generate x-rays 142 having predetermined spectral properties (e.g., characteristic x-rays having energies less than or equal to 1 keV; characteristic x-rays having energies greater than 1 keV). Examples of other additional target structures 144 compatible with certain implementations described herein are disclosed by U.S. Pat. Nos. 10,658,145, 10,401,309, 10,352,880, 10,349,908, 10,304,580, 10,297,359, 10,295,485, 10,269,528, 9,874,531, 9,823,203, 9,719,947, 9,594,036, 9,570,265, 9,543,109, 9,570,265, 9,449,781, 9,448,190, and 9,390,881, each of which is incorporated in its entirety by reference herein.
In certain implementations, the at least one target structure 144 comprises a plurality of target structures 144 (e.g., on a common substrate 147), the materials of the target structures 144 configured to undergo electron bombardment by the at least one electron beam 132 and to generate x-rays 142 having predetermined spectral properties, the x-rays from different materials having different spectral properties from one another (e.g., different K and L x-ray emission lines). For example, individual target structures 144 can comprise individual thin layers containing elements selected for producing characteristic x-rays of energies less than 1 keV. For example, individual target structures 144 can comprise MgO, SiC, and CaB6 with MgO to produce Mg K and L emission line x-rays and O K emission line x-rays, SiC to produce C Kα emission line x-rays with 288 eV energy and Si Lα emission line x-rays with 98 eV energy, and CaB6 to produce Ca Lα emission line x-rays with 345 eV energy and B Kα emission line x-rays with 198 eV energy.
In addition to characteristic x-rays with energies less than 1 keV, the at least one target structure 144 of certain implementations provides characteristic x-rays with higher energies, which can be useful for many experiments (e.g., producing photoelectrons with higher kinetic energy using Ca Kα line x-rays than with Ca L line x-rays). For example, Al2O3 can provide Kα line x-rays having energies greater than 1 keV, and Mo can provide K line x-rays and L line x-rays having energies greater than 1 keV, in addition to their respective characteristic lines of energies less than 1 keV.
In certain implementations, the at least one electron beam 132 and/or the at least one anode 146 are configured to be moved (e.g., positioned) such that the at least one electron beam 132 is incident on the at least one target structure 144 at angles in a range from 30 degrees to 90 degrees with respect to a surface normal direction of the at least one target structure 144. Using lower incidence angles, the penetration depth of the incident electrons 132 into the at least one target structure 144 and the x-ray production from deeper portions of the at least one target structure 144 can be reduced, leading to lower attenuation of x-rays from the x-ray production point to the target structure surface.
In certain implementations, the anode assembly 140 is in mechanical communication with a stage 149 configured to adjust a position and/or orientation of the at least one target structure 144 relative to the at least one electron beam 132 from the electron source 130. For example, the stage 149 can be configured to move the at least one target structure 144 along a single direction or along two or three directions (e.g., orthogonal to one another) and/or to rotate the at least one target structure 144 about a single axis or about two or three axes (e.g., orthogonal to one another). In certain implementations, a first portion of the stage 149 is within the at least one housing 110 and a second portion of the stage 149 is outside the at least one housing 110 (e.g., the first portion and second portion in operative communication with one another via an electrical and/or mechanical feedthrough that is mounted on or is a component of the at least one housing 110). In certain implementations comprising a plurality of target structures 144. the stage 149 is configured to move the plurality of target structures 144 relative to the at least one electron beam 132 inside the at least one housing 110 (e.g., to select one of the target structures 144 to be irradiated by the at least one electron beam 132).
The at least one x-ray optic 150 of certain implementations is configured to receive (e.g., collect) at least some of the diverging x-rays 142 generated by the anode assembly 140 in response to the at least one electron beam 132 (e.g., focused electron beam) impacting the at least one target structure 144, and to direct at least some of the received x-rays 142 to form and output the x-ray beam 152 (e.g., a collimated x-ray beam; a focused x-ray beam; a converging x-ray beam). For example, the x-ray beam 152 can be convergent with a minimum cross-sectional width that is less than or equal to 1 millimeter (e.g., less than or equal to 0.2 millimeter; less than 0.05 millimeter) in at least one direction in a plane perpendicular to the propagation direction of the x-ray beam 152.
In certain implementations, the at least one x-ray optic 150 is configured to be aligned (e.g., positioned and/or oriented) such that a minimum cross-sectional area (e.g., waist at the position 160) of the x-ray beam 152 is at or near the window 120. For example, the at least one x-ray optic 150 can be adjusted by at least one linear motion and/or rotational motion stage 159. Example ranges of the dimensions of the waist of the x-ray beam 152 at the position 160 include but are not limited to: less than 2 millimeters in at least one direction in the cross-sectional plane, less than 200 microns in at least one direction in the cross-sectional plane, and/or less than 50 microns in at least one direction in the cross-sectional plane. For example, for a converging x-ray beam 152, the minimum cross-sectional width of the x-ray beam 152 (e.g., the position 160 at which the x-ray beam 152 is focused; the position 160 of the minimum waist of the x-ray beam 152) can be at (e.g., coincident with) the window 120 or spaced from a surface of the window 120 (e.g., a surface facing the first region 112 within the at least one housing 110; a surface facing the second region 170 outside the at least one housing 110) by a distance that is less than 2 millimeters, less than 200 microns, and/or less than 50 microns. The at least one second x-ray optic 182 can be similar to the at least one x-ray optic 150 (e.g., having substantially the same shape and geometric parameters).
By having the position 160 of the minimum cross-sectional width of the x-ray beam 152 at or near the window 120, certain implementations can enable the window 120 to be sufficiently small to have sufficient mechanical strength to maintain a pressure differential between the first region 112 within the at least one housing 110 and the second region 170 outside the at least one housing 110, while also providing an x-ray transmittance greater than or equal to 20% for a substantial portion of the x-ray beam 152 having an x-ray energy less than 1 keV. The at least one x-ray optic 150 of certain such implementations can also enable the x-ray flux transmitted through the window 120 to be substantially larger than without the at least one x-ray optic 150. In this way, certain implementations transmit at least a portion of the x-ray beam 152 through the window 120 for use outside the at least one housing 110. In certain implementations, the at least one x-ray optic 150 also conditions the input x-ray spectrum (e.g., preferentially suppressing x-rays of energies above a preselected x-ray energy using a reflection mirror optic with a selected maximum incidence angle, or using a mirror optic with a surface coated with multilayers).
In certain implementations, the at least one x-ray optic 150 is in mechanical communication with a stage 159 configured to adjust a position and/or orientation of the at least one x-ray optic 150 relative to the at least one target structure 144 (e.g., relative to the x-rays 142 from the anode assembly 140). For example, the stage 159 can be configured to move the at least one x-ray optic 150 along a single direction or along two or three directions (e.g., orthogonal to one another) and/or to rotate the at least one x-ray optic 150 about a single axis or about two or three axes (e.g., orthogonal to one another). For example, the stage 159 can be wholly within the at least one housing 110, or a first portion of the stage 159 can be within the at least one housing 110 and a second portion of the stage 159 can be outside the at least one housing 110 (e.g., the first portion and second portion in operative communication with one another via an electrical and/or mechanical feedthrough that is mounted on or is a component of the at least one housing 110). In certain implementations comprising a plurality of x-ray optics 150, the stage 159 is configured to move the plurality of x-ray optics 150 relative to the x-rays 142 inside the at least one housing 110 (e.g., to select at least one of the x-ray optics 150 to receive the x-rays 142).
In certain implementations, the stage 159 is configured to adjust the position and/or orientation of the at least one x-ray optic 150 relative to other portions of the x-ray source 100 (e.g., the anode assembly 140; the window 120) such that the x-ray beam 152 passes through the window 120 to the second region 170 (e.g., the minimum waist of the x-ray beam 152 is at or near the window 120). In certain implementations, adjusting the propagation direction of the x-ray beam 152 so that the x-ray beam 152 impinges on the window 120 comprises adjusting the position and/or orientation of the at least one x-ray optic 150 (e.g., using the stage 159). In certain implementations, adjusting the propagation direction of the x-ray beam 152 further comprises adjusting the position and/or orientation of the anode assembly 140 (e.g., using the stage 149) and/or adjusting the position and/or orientation of the at least one electron beam 132 (e.g., using the electron optics subsystem 138). For example, aligning the converging x-ray beam 152 to pass through the window 120 can comprise mechanically positioning the at least one x-ray optic 150 while the position of the focused electron beam 132 on the anode assembly 140 remains stationary, mechanically or electronically displacing the focused electron beam 132 on the anode assembly 140 while the at least one x-ray optic 150 remains stationary, or a combination of both.
In certain implementations, the x-ray source 100 further comprises an x-ray detector within the first region 112 configured to be positioned upstream of the window 120. The x-ray detector can be configured to facilitate alignment of the at least one x-ray optic 150 in the first region 112 so as to focus the x-ray beam 152 at the desired position (e.g., at or on the window 120). The x-ray detector can comprise a direct electronic array detector or a scintillation screen observable using a CCD-based viewing system, and can comprise a hole positionable at the desired focal position and through which the x-ray beam 152 can propagate. In certain implementations, the x-ray detector can be mounted on a stage configured to controllably move the x-ray detector (e.g., into the path of the x-ray beam 152 or out of the path of the x-ray beam 152).
Although commonly used terms are used to describe the systems and methods of certain implementations for ease of understanding, these terms are used herein to have their broadest reasonable interpretations. Although various aspects of the disclosure are described with regard to illustrative examples and implementations, the disclosed examples and implementations should not be construed as limiting. Conditional language, such as “can,” “could,” “might,” or “may,” unless specifically stated otherwise, or otherwise understood within the context as used, is generally intended to convey that certain implementations include, while other implementations do not include, certain features, elements, and/or steps. Thus, such conditional language is not generally intended to imply that features, elements, and/or steps are in any way required for one or more implementations. In particular, the terms “comprises” and “comprising” should be interpreted as referring to elements, components, or steps in a non-exclusive manner, indicating that the referenced elements, components, or steps may be present, or utilized, or combined with other elements, components, or steps that are not expressly referenced.
Conjunctive language such as the phrase “at least one of X, Y, and Z,” unless specifically stated otherwise, is to be understood within the context used in general to convey that an item, term, etc. may be either X, Y, or Z. Thus, such conjunctive language is not generally intended to imply that certain implementations require the presence of at least one of X, at least one of Y, and at least one of Z.
Language of degree, as used herein, such as the terms “approximately,” “about,” “generally,” and “substantially,” represent a value, amount, or characteristic close to the stated value, amount, or characteristic that still performs a desired function or achieves a desired result. For example, the terms “approximately,” “about,” “generally,” and “substantially” may refer to an amount that is within ± 10% of, within ± 5% of, within ± 2% of, within ±1% of, or within ± 0.1% of the stated amount. As another example, the terms “generally parallel” and “substantially parallel” refer to a value, amount, or characteristic that departs from exactly parallel by ± 10 degrees, by ± 5 degrees, by ± 2 degrees, by ± 1 degree, or by ± 0.1 degree, and the terms “generally perpendicular” and “substantially perpendicular” refer to a value, amount, or characteristic that departs from exactly perpendicular by ± 10 degrees, by ± 5 degrees, by ± 2 degrees, by ± 1 degree, or by ± 0.1 degree. The ranges disclosed herein also encompass any and all overlap, sub-ranges, and combinations thereof. Language such as “up to,” “at least,” “greater than,” less than,” “between,” and the like includes the number recited. As used herein, the meaning of “a,” “an,” and “said” includes plural reference unless the context clearly dictates otherwise. While the structures and/or methods are discussed herein in terms of elements labeled by ordinal adjectives (e.g., first, second, etc.), the ordinal adjectives are used merely as labels to distinguish one element from another, and the ordinal adjectives are not used to denote an order of these elements or of their use.
Various configurations have been described above. It is to be appreciated that the implementations disclosed herein are not mutually exclusive and may be combined with one another in various arrangements. Although this invention has been described with reference to these specific configurations, the descriptions are intended to be illustrative of the invention and are not intended to be limiting. Various modifications and applications may occur to those skilled in the art without departing from the true spirit and scope of the invention. Thus, for example, in any method or process disclosed herein, the acts or operations making up the method/process may be performed in any suitable sequence and are not necessarily limited to any particular disclosed sequence. Features or elements from various implementations and examples discussed above may be combined with one another to produce alternative configurations compatible with implementations disclosed herein. Various aspects and advantages of the implementations have been described where appropriate. It is to be understood that not necessarily all such aspects or advantages may be achieved in accordance with any particular implementation. Thus, for example, it should be recognized that the various implementations may be carried out in a manner that achieves or optimizes one advantage or group of advantages as taught herein without necessarily achieving other aspects or advantages as may be taught or suggested herein.
This application claims the benefit of priority to U.S. Provisional Appl. No. 63/299,341 filed on Jan. 13, 2022 and incorporated in its entirety by reference herein.
| Number | Date | Country | |
|---|---|---|---|
| 63299341 | Jan 2022 | US |
