CN113162611B - Broadband shifter for elastomer waves and manufacturing method thereof - Google Patents
Broadband shifter for elastomer waves and manufacturing method thereof Download PDFInfo
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Abstract
The invention discloses a broadband shifter for an elastomer wave and a manufacturing method thereof, and relates to the field of elastic wave regulation. The broadband shifter comprises: the micro-structure unit cell comprises a background medium and two single polarization solid layers, wherein a hollow area is arranged in the background medium, the two single polarization solid layers are placed in the hollow area, and each single polarization solid layer comprises a micro-structure unit cell. The broadband shifter provided by the invention can shift longitudinal waves and transverse waves from the same direction in the same direction or in the opposite direction, and the shifting distance is adjustable.
Description
Technical Field
The invention relates to the field of elastic wave regulation, in particular to a broadband shifter for an elastomer wave and a manufacturing method thereof.
Background
The rich elastic modulus allows one and the same elastic medium to carry a variety of different kinds of elastic waves, such as the most common longitudinal and transverse waves. They are often spatially coupled together to propagate, making it difficult to use either longitudinal or transverse waves alone. And finally, engineering application of longitudinal waves or transverse waves in the aspects of nondestructive inspection, structural health monitoring, medical imaging and the like is influenced.
At present, the problem is solved by mainly using a transducer to excite a single kind of elastic wave or by filtering one of the unwanted component waves by means of a novel resonance material. However, both methods have their own disadvantages. For the first kind of method, the disadvantage is that the energy conversion rate is low, and only a small part of the input electric energy can be converted into mechanical energy of elastic waves; and due to the operating frequency, broadband excitation cannot be realized. For the second method, the resonant metamaterial also has the disadvantage of narrow frequency, i.e., the filtering function can be realized only near the resonant frequency of the metamaterial. Therefore, the existing method can not avoid the defects of narrow working frequency, low energy utilization rate and the like.
Disclosure of Invention
The present invention provides a wideband shifter for an elastomer wave, a method for manufacturing the wideband shifter, and an electronic device including the wideband shifter.
The technical scheme for solving the technical problems is as follows:
a method of making a broadband displacer for elastomeric waves, the broadband displacer including a background medium and two singly polarized solid layers, the method of making comprising:
determining the positions of the two single polarization solid layers in the background medium according to the working condition, and hollowing out the background medium according to the positions;
determining the material property of the background medium, and substituting the material property of the background medium into a preset longitudinal wave impedance matching model to obtain the material property of the single polarized solid layer;
determining a material of the single polarised solid layer from a material property and an elasticity matrix of the single polarised solid layer;
determining the form of the microstructural unit cells of the single-polarized solid layer and determining initial geometric parameters of the microstructural unit cells;
taking the initial geometric parameters of the microstructure unit cell as initial variables, and performing optimization iteration on the microstructure unit cell to obtain final geometric parameters;
preparing two single-polarized solid layers according to the material of the single-polarized solid layer, the form of the microstructural unit cell and the final geometric parameters;
embedding two of the single polarized solid layers in a hollowed out region of the background medium.
The broadband shifter provided by the invention has the advantages that the hollow area is arranged on the background medium, the two single polarization solid layers are installed, the longitudinal waves and the transverse waves from the same direction can be shifted in the same direction or in the opposite direction in parallel by adjusting the arrangement angle and the relative position of the single polarization solid layers, the shifting distance is adjustable, the material property of the single polarization solid layer is determined through the longitudinal wave impedance matching model and the material property of the background medium, and then the material of the single polarization solid layer is further determined. The method fills the blank of broadband displacement of the elastomer wave, and improves the engineering application efficiency of the longitudinal wave and the transverse wave.
Another technical solution of the present invention for solving the above technical problems is as follows:
a broadband shifter for an elastomer wave, the broadband shifter comprising: the broadband displacer comprises a background medium and two single polarization solid layers, wherein the background medium and the two single polarization solid layers are manufactured by the manufacturing method of the broadband displacer for elastomer waves disclosed by the technical scheme.
Another technical solution of the present invention for solving the above technical problems is as follows:
a broadband displacer for elastomeric waves, comprising: the single-polarized solid film comprises a background medium and two single-polarized solid layers, wherein a hollow area is arranged in the background medium, the two single-polarized solid layers are placed in the hollow area, and each single-polarized solid layer comprises a microstructure unit cell.
Another technical solution of the present invention for solving the above technical problems is as follows:
an electronic device comprising a broadband shifter for elastomer waves as disclosed in the above technical solution.
The broadband shifter provided by the invention is suitable for elastomer waves, particularly for spatial shift of longitudinal waves and transverse waves coupled together under a given background medium, can shift the longitudinal waves and the transverse waves from the same direction in the same direction or in the opposite direction, and has adjustable shift distance. The method fills the blank of broadband displacement of the elastomer wave, and improves the engineering application efficiency of the longitudinal wave and the transverse wave.
Advantages of additional aspects of the invention will be set forth in part in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention.
Drawings
Fig. 1 is a schematic flow chart of a method for manufacturing a wideband shifter according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of a single-polarization solid layer position relationship provided by another embodiment of a method for fabricating a broadband shifter according to the present invention;
FIG. 3 is a schematic diagram of a hollow-out area of a background medium according to another embodiment of a method for manufacturing a broadband shifter of the present invention;
FIG. 4 is a schematic view of a microstructure unit cell provided by another embodiment of a method for fabricating a broadband shifter according to the present invention;
FIG. 5 is a schematic diagram of a single polarized solid layer structure provided by another embodiment of a method of fabricating a broadband shifter according to the present invention;
FIG. 6 is a schematic diagram of a single polarized solid layer mounting process provided by another embodiment of a method of fabricating a broadband displacer according to the invention;
FIG. 7 is a schematic diagram of simulation results of a homodromous shifter according to another embodiment of the method for manufacturing a wideband shifter of the present invention;
fig. 8 is a schematic diagram of simulation results of an inverse shifter according to another embodiment of the method for manufacturing a wideband shifter of the present invention.
Detailed Description
The principles and features of this invention are described below in conjunction with the following drawings, which are set forth to illustrate, but are not to be construed to limit the scope of the invention.
As shown in fig. 1, a schematic flow chart is provided for an embodiment of a method for manufacturing a broadband displacer according to the present invention, the broadband displacer includes a background medium 1 and two single-polarized solid layers 2, and the method includes:
s1, determining the positions of the two single polarization solid layers 2 in the background medium 1 according to the working conditions, and hollowing out the background medium 1 according to the positions;
it should be understood that the specific location of the two single polarized solid layers 2 can be determined according to the working conditions, and since the single polarized solid layers 2 can fully transmit longitudinal waves and fully reflect transverse waves by adjusting the equivalent material parameters of the single polarized solid layers 2, the location can be determined according to the difference between the homodyne shifter and the reverse shifter.
For example, two single-polarized solid layers 2 may be disposed in parallel and opposite to each other at an angle with respect to the horizontal line, so that longitudinal waves can completely penetrate through the single-polarized solid layers 2 and propagate in the original direction; after the transverse wave is reflected twice, it moves a certain distance and then continuously propagates in the same direction as the longitudinal wave to form a equidirectional shifter.
Or two single polarization solid layers 2 can be mutually and vertically arranged at a certain angle with the horizontal line, the longitudinal wave still propagates along the original direction, and the transverse wave propagates along the direction opposite to the longitudinal wave after traversing for a distance after being reflected twice, so that the reverse shifter is formed.
After the positional relationship of the two single polarized solid layers 2 and the outline shape of the single polarized solid layer 2 are determined, the background medium 1 can be hollowed out at the corresponding position by machining and the like.
S2, determining the material property of the background medium 1, and substituting the material property of the background medium 1 into a preset longitudinal wave impedance matching model to obtain the material property of the single polarization solid layer 2;
it should be noted that the material of the background medium 1 may be a metal material such as aluminum and steel, or a polymer material such as polypropylene, and the material properties may include: tensile modulus, shear modulus, and density.
The longitudinal wave impedance matching model includes the longitudinal wave matching relationship between the background medium 1 and the single polarized solid layer 2, so that the material property of the single polarized solid layer 2 matching the determined material property of the background medium 1 can be determined through the longitudinal wave impedance matching model.
S3, determining the material of the single-poled solid layer 2 based on the material properties and the elasticity matrix of the single-poled solid layer 2;
s4, determining the form of the micro-structure unit cell of the single polarization solid layer 2 and determining the initial geometric parameters of the micro-structure unit cell;
s5, taking the initial geometric parameters of the microstructure unit cell as initial variables, and performing optimization iteration on the microstructure unit cell to obtain final geometric parameters;
as the micro-structure unit cell, the geometrical parameters such as the size of the counterweight body, the size of the connecting rod, the length and the like are generally difficult to determine, so that the single polarized solid layer 2 with better filtering effect can be obtained by performing iterative optimization on the initial geometrical parameters of the micro-structure unit cell.
It will be appreciated that the single polarised solid layer 2 is replicated from a plurality of micro-architectural unit cells and may be prepared using machining means such as wire cutting.
It should be noted that the algorithm of the optimization iteration may be selected according to actual requirements, for example, the microstructure macro material parameters may be obtained by using a quasi-static material parameter extraction method.
S6, preparing two single polarized solid layers 2 according to the material of the single polarized solid layer 2, the form of the micro-structure unit cell and the final geometric parameters;
s7, embedding two single polarized solid layers 2 into the hollowed-out area of the background medium 1.
It will be appreciated that the hollowed-out region may be machined to have the same shape and size as the single polarised solid layer 2, so that the single polarised solid layer 2 can be embedded therein.
As shown in fig. 6, a schematic illustration of an exemplary embedding of a single polarised solid layer 2 in a background medium 1 is given.
In the method for manufacturing the broadband shifter provided by this embodiment, for a given elastomer wave propagation background medium 1, by adjusting equivalent material parameters of the single polarized solid layer 2, the single polarized solid layer 2 can fully transmit longitudinal waves and fully reflect transverse waves, and longitudinal waves and transverse waves which come from the same direction and are coupled together can be separated by a certain distance in a wide frequency range and then continue to propagate in the same direction or in the opposite direction in parallel.
As shown in fig. 7, taking the schematic diagram of simulation results of the homodromous shifter as an example, when two single polarized solid layers 2 are placed in parallel, the longitudinal wave can completely penetrate through the single polarized solid layer 2 and propagate along the original direction; after the transverse wave is reflected twice, the transverse wave moves for a certain distance and then continuously propagates in the same direction as the longitudinal wave, so that a equidirectional shifter is formed;
as shown in fig. 8, taking the simulation result diagram of the reverse shifter as an example, when two single polarized solid layers 2 are placed perpendicular to each other, the longitudinal wave still propagates in the original direction, and the transverse wave after two reflections traverses a distance and propagates in the opposite direction to the longitudinal wave, thereby forming the reverse shifter.
Therefore, through different laying modes of the two single polarized solid layers 2, longitudinal waves and transverse waves from the same direction can be separated by a certain distance and then continuously spread along the same direction or the opposite direction, and finally the effect of transverse wave displacement is achieved.
The broadband shifter is characterized in that a hollow area is arranged on a background medium 1, two single polarized solid layers 2 are installed, longitudinal waves and transverse waves from the same direction can be shifted in the same direction or in the opposite direction in parallel by adjusting the arrangement angle and the relative position of the single polarized solid layers 2, the shifting distance is adjustable, the material property of the single polarized solid layers 2 is determined through a longitudinal wave impedance matching model and the material property of the background medium 1, and then the material of the single polarized solid layers 2 is further determined. The method fills the blank of broadband displacement of the elastomer wave, and improves the engineering application efficiency of the longitudinal wave and the transverse wave.
Alternatively, in some possible embodiments, determining the position of the two single polarized solid layers 2 in the background medium 1 according to the working conditions specifically comprises:
and determining the displacement distance, the displacement direction and the azimuth angle of the single polarized solid layer 2 according to the distance separating the longitudinal wave and the transverse wave under the non-destructive testing working condition.
As shown in fig. 2, the displacement distance d is a distance between the longitudinal wave and the transverse wave after being displaced by the homodyne. The shifting direction refers to whether the transverse waves continue to propagate in the same direction or in the reverse direction after being shifted by the shifters, and if the transverse waves propagate in the same direction, the corresponding shifters are the same-direction shifters; if propagating in the reverse direction, the corresponding shifter is a reverse shifter. The azimuthal angle α refers to the angle between the singly polarised solid layer 2 and the horizontal.
Optionally, in some possible embodiments, the hollowing out the background medium 1 according to the position specifically includes:
judging the broadband shifter to be a homodromous shifter or a reverse shifter according to the shifting direction;
when the broadband shifter is a homodromous shifter, the two single-polarization solid layers 2 are placed in parallel, the angle between the single-polarization solid layer 2 and a horizontal line is determined according to an azimuth angle, the distance between the two single-polarization solid layers 2 is determined according to a shifting distance, and the background medium 1 is hollowed out according to the positions of the two single-polarization solid layers 2;
when the broadband shifter is a reverse shifter, the two single-polarization solid layers 2 are arranged perpendicular to each other, the angle between one single-polarization solid layer 2 and a horizontal line is determined according to the azimuth angle, and the background medium 1 is hollowed out according to the positions of the two single-polarization solid layers 2.
As shown in fig. 3, a schematic illustration of an exemplary openworked background medium 1 is provided.
Optionally, in some possible embodiments, the longitudinal wave impedance matching model includes:
θi＝π/2-α
wherein, C11Tensile modulus, C, for background Medium 166The shear modulus of the background medium 1, ρ is the density of the background medium 1,
the material modulus, p, of the singly polarised solid layer 2sα is the density of the single polarized solid layer 2 and is the azimuth angle at which the single polarized solid layer 2 is placed.
The present inventors have proposed the longitudinal wave impedance matching model based on the relationship between the material properties of the background medium 1 and the material properties of the single polarized solid layer 2, and found the material properties of the background medium 1 by the longitudinal wave impedance matching model, and then substituted the material properties of the single polarized solid layer 2 to obtain the matched material properties.
In obtaining the material modulus of a single polarized solid layer 2
And density ρsThe single polarised solid layer 2 may then be determined by combining the elastic matrix of the single polarised solid layer 2. Since the single-polarization solid can only carry one elastic wave, the single-polarization solid layer 2 satisfying the above requirements can naturally and completely reflect transverse waves while realizing perfect transmission of longitudinal waves in a wide frequency range.
An exemplary elastic matrix of a single polarised solid layer 2 is given below:
alternatively, in some possible embodiments, the microstructured cells of the single polarised solid layer 2 are in the form of negative poisson's ratio microstructured cells.
It should be understood that the single polarization solid is a three-dimensional thin plate layer, for example, it can be designed by packing hexagonal micro-structure unit cells, and those skilled in the art can also select other forms of micro-structure unit cells, for example, the balancing weight 4 is selected to be a circular or rectangular micro-structure unit cell.
A new hexagonal microstructure will be described as an example.
Optionally, in some possible embodiments, as shown in fig. 4, the microstructure unit cell includes 4 balancing weights 4 in the shape of a right trapezoid, 2V-shaped connecting rods, and 2 linear connecting rods, an oblique waist of each balancing weight 4 is respectively disposed on two sides of each V-shaped connecting rod, and end points on the same side of the 2V-shaped connecting rods are connected through the linear connecting rods to form a closed pattern surrounding all the balancing weights 4.
The geometric parameters of the microstructure unit cell are m, l, w, t, h and beta, wherein, m is the half length of the V-shaped connecting rod, w is the length of the right-angle waist of the balancing weight 4, h is the length of the short side of the balancing weight 4, l is the length of the straight-line connecting rod, t is the width of the straight-line connecting rod, and beta is the angle between the V-shaped connecting rod and the straight-line connecting rod.
It will be appreciated that other shapes of the weight 4 may be chosen, such as a semi-circle, with a straight run of the semi-circle being provided on the outside of the V-shaped connecting rod, corresponding to a change of the geometrical parameter relating to the weight 4 to a radius.
And the balancing weights 4 with a triangular shape, a rectangular shape and the like can be selected, and the details are not repeated.
As shown in fig. 5, a single polarized solid layer 2 is shown, which is obtained by using the arrangement of the micro-structural unit cells in fig. 4, and a machined cut-out area 3 is provided between the counter weights 4 of the single micro-structural unit cells.
Optionally, in some possible embodiments, the initial geometric parameter of the microstructure unit cell is used as an initial variable, and optimization iteration is performed on the microstructure unit cell to obtain a final geometric parameter, which specifically includes:
taking the initial geometric parameters of the microstructure unit cells as initial variables, and obtaining the parameters of the microstructure macro material by using a quasi-static material parameter extraction method;
calculating to obtain tolerance according to the parameters of the microstructure macro material, and comparing the tolerance with preset tolerance;
and if the tolerance is larger than the preset tolerance, performing optimization iteration on the initial geometric parameters until the tolerance is smaller than the preset tolerance, and taking the geometric parameters obtained at the moment as final geometric parameters.
The microstructure unit cell shown in FIG. 4 is taken as an example for explanation.
Taking the geometric parameters m, l, w, t, h and beta as initial variables of an optimization process; and the parameters of the microstructure macro material are obtained by using a quasi-static material parameter extraction method
And density ρeffSubstituting the following formula:
if delta is larger than the given tolerance err, optimizing and iterating the geometric parameters m, l, w, t, h and beta until delta is smaller than the given tolerance err, outputting the corresponding geometric parameters m, l, w, t, h and beta, wherein the corresponding microstructure unit cell is the final unit cell.
It is to be understood that some or all of the various embodiments described above may be included in some embodiments.
The present invention also provides a broadband shifter for an elastomer wave, the broadband shifter comprising: the background medium and the two single polarized solid layers are manufactured by the manufacturing method of the broadband displacer for elastomer waves disclosed in any of the above embodiments.
The invention also provides a broadband shifter for elastomer waves, which comprises a background medium and two single polarization solid layers, wherein the background medium is provided with a hollow area, the position of the hollow area is determined according to the working condition, and the two single polarization solid layers are placed in the hollow area;
the material of each single polarization solid layer is determined by material properties and an elastic matrix, and the material properties are obtained by substituting the material properties of a background medium into a preset longitudinal wave impedance matching model;
each single polarization solid layer comprises a micro-structure unit cell, and the final geometric parameters of the micro-structure unit cell are obtained through optimization iteration of the set initial geometric parameters.
Alternatively, the displacement distance, the displacement direction and the azimuth angle of the single polarized solid layer may be determined according to the magnitude of the distance separating the longitudinal wave and the transverse wave under the nondestructive testing condition.
When the broadband shifter is a homodromous shifter, the two single polarization solid layers are placed in parallel, the angle between the single polarization solid layer and a horizontal line is determined according to the azimuth angle, and the distance between the two single polarization solid layers is determined according to the shifting distance;
when the broadband shifter is a reverse shifter, two single polarized solid layers are arranged perpendicularly to each other, and the angle of one single polarized solid layer to the horizontal line is determined according to the azimuth angle.
Optionally, the microstructured element of the single polarised solid layer is in the form of a negative poisson's ratio microstructured element.
Optionally, the microstructure unit cell includes 4 balancing weights, 2V-shaped connecting rods and 2 straight-line-shaped connecting rods, each balancing weight has an oblique waist respectively disposed at two sides of each V-shaped connecting rod, and the same-side end points of the 2V-shaped connecting rods are connected through the straight-line-shaped connecting rods to form a closed pattern surrounding all the balancing weights.
The broadband shifter provided by the embodiment is suitable for elastomer waves, particularly for spatial shifting of longitudinal waves and transverse waves coupled together under a given background medium, can shift the longitudinal waves and the transverse waves from the same direction in the same direction or in the opposite direction, and has an adjustable shifting distance. The method fills the blank of broadband displacement of the elastomer wave, and improves the engineering application efficiency of the longitudinal wave and the transverse wave.
The invention also provides an electronic device comprising the broadband shifter for elastomer waves as disclosed in the above embodiments.
The reader should understand that in the description of this specification, reference to the description of the terms "one embodiment," "some embodiments," "an example," "a specific example," or "some examples," etc., means that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the invention. In this specification, the schematic representations of the terms used above are not necessarily intended to refer to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples. Furthermore, various embodiments or examples and features of different embodiments or examples described in this specification can be combined and combined by one skilled in the art without contradiction.
In the several embodiments provided in the present application, it should be understood that the disclosed apparatus and method may be implemented in other ways. For example, the above-described method embodiments are merely illustrative, and for example, the division of steps into only one logical functional division may be implemented in practice in another way, for example, multiple steps may be combined or integrated into another step, or some features may be omitted, or not implemented.
While the invention has been described with reference to specific embodiments, it will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.
Claims (9)
1. A method of making a broadband displacer for elastomeric waves, the broadband displacer including a background medium and two singly polarized solid layers, the method comprising:
determining the positions of the two single polarization solid layers in the background medium according to the working condition, and hollowing out the background medium according to the positions;
determining the material property of the background medium, and substituting the material property of the background medium into a preset longitudinal wave impedance matching model to obtain the material property of the single polarized solid layer;
the preset longitudinal wave impedance matching model is as follows:
θi＝π/2-α
wherein, C11Tensile modulus for background Medium, C66Is the shear modulus of the background medium, ρ is the density of the background medium,
material modulus, rho, of a singly polarised solid layerSIs the density of the single-polarized solid layer, and alpha is the azimuth angle at which the single-polarized solid layer is placed;
determining a material of the single polarised solid layer from a material property and an elasticity matrix of the single polarised solid layer;
determining the form of the microstructural unit cells of the single-polarized solid layer and determining initial geometric parameters of the microstructural unit cells;
taking the initial geometric parameters of the microstructure unit cells as initial variables, and performing optimization iteration on the microstructure unit cells to obtain final geometric parameters;
preparing two single-polarized solid layers according to the material of the single-polarized solid layer, the form of the microstructural unit cell and the final geometric parameters;
embedding two of the single polarized solid layers in a hollowed out region of the background medium.
2. The method according to claim 1, wherein determining the positions of the two single polarized solid layers in the background medium according to the working condition comprises:
and determining the displacement distance, the displacement direction and the azimuth angle of the single polarized solid layer according to the distance separating the longitudinal wave and the transverse wave under the non-destructive testing working condition.
3. The method according to claim 2, wherein the hollowing out the background medium according to the position comprises:
judging the broadband shifter to be a homodromous shifter or a reverse shifter according to the shifting direction;
when the broadband shifter is a homodromous shifter, the two single polarized solid layers are placed in parallel, the angle between the single polarized solid layer and a horizontal line is determined according to the azimuth angle, the distance between the two single polarized solid layers is determined according to the shifting distance, and the background medium is hollowed according to the positions of the two single polarized solid layers;
when the broadband shifter is a reverse shifter, the two single polarized solid layers are arranged perpendicular to each other, the angle between one single polarized solid layer and a horizontal line is determined according to the azimuth angle, and the background medium is hollowed out according to the positions of the two single polarized solid layers.
4. The method of claim 1, wherein the microstructured elements of the single polarized solid layer are in the form of negative poisson's ratio microstructured elements.
5. The method according to claim 4, wherein the microstructure unit cell comprises 4 rectangular trapezoid-shaped counterweights, 2V-shaped connecting rods and 2 linear connecting rods, the oblique waist of each counterweight is respectively disposed at two sides of each V-shaped connecting rod, and the same-side end points of the 2V-shaped connecting rods are connected through the linear connecting rods to form a closed pattern surrounding all the counterweights.
6. The method according to any one of claims 1 to 5, wherein the initial geometric parameters of the microstructure unit cell are used as initial variables, and the optimization iteration is performed on the microstructure unit cell to obtain final geometric parameters, specifically comprising:
taking the initial geometric parameters of the microstructure unit cells as initial variables, and obtaining microstructure macro material parameters by using a quasi-static material parameter extraction method;
calculating to obtain tolerance according to the parameters of the microstructure macroscopic material, and comparing the tolerance with preset tolerance;
and if the tolerance is larger than the preset tolerance, performing optimization iteration on the initial geometric parameters until the tolerance is smaller than the preset tolerance, and taking the geometric parameters obtained at the moment as final geometric parameters.
7. A broadband shifter for elastomeric waves, the broadband shifter comprising: a background medium and two single polarized solid layers made by the method of making a broadband displacer for elastomeric waves of any one of claims 1 to 6.
8. A broadband displacer for elastomeric waves, comprising: the micro-structure unit cell comprises a background medium and two single polarization solid layers, wherein a hollow-out area is arranged in the background medium, the two single polarization solid layers are placed in the hollow-out area, and each single polarization solid layer comprises a micro-structure unit cell.
9. An electronic device comprising the broadband shifter for elastomer waves of claim 7 or 8.
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| CN105242305A (en) * | 2015-09-06 | 2016-01-13 | 中国科学院地质与地球物理研究所 | Longitudinal wave and transverse wave separation method and system |
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| CN112287584A (en) * | 2020-10-30 | 2021-01-29 | 西北工业大学 | Ultrathin slab waveguide device and design method thereof |
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| CN105242305A (en) * | 2015-09-06 | 2016-01-13 | 中国科学院地质与地球物理研究所 | Longitudinal wave and transverse wave separation method and system |
| KR101856201B1 (en) * | 2017-07-25 | 2018-05-09 | 서울대학교산학협력단 | Filter for elastic wave mode conversion, ultrasound transducer using the same, and wave energy dissipater using the same |
| CN112287584A (en) * | 2020-10-30 | 2021-01-29 | 西北工业大学 | Ultrathin slab waveguide device and design method thereof |
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