CN103136405B - A kind of method and device thereof obtaining Meta Materials index distribution - Google Patents
A kind of method and device thereof obtaining Meta Materials index distribution Download PDFInfo
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- CN103136405B CN103136405B CN201110396297.4A CN201110396297A CN103136405B CN 103136405 B CN103136405 B CN 103136405B CN 201110396297 A CN201110396297 A CN 201110396297A CN 103136405 B CN103136405 B CN 103136405B
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Abstract
The invention discloses a kind of method and the device thereof that obtain Meta Materials index distribution, described method comprises: adopt emulation mode to make electromagnetic wave through described Meta Materials; Obtain in order to describe and to weigh the data of described Meta Materials to electromagnetic response, comprise described electromagnetic wave through the far field data after described Meta Materials; Whether the gap between the emulation far field data judging target far field data and described acquisition is greater than threshold value; If the gap between described far field data is greater than threshold value, change the index distribution of described Meta Materials, and return adopt emulation mode make electromagnetic wave through the step of described Meta Materials, until the gap between described far field data is less than or equal to threshold value.By the way, the present invention adopts emulation mode, can save a large amount of manpower, material resources and financial resources, can design the target Meta Materials met the demands more targetedly, quickly.
Description
Technical field
The present invention relates to Meta Materials field, particularly relate to a kind of method and the device thereof that obtain Meta Materials index distribution.
Background technology
Meta Materials (metamaterial) is an emerging field having merged the height intersection of the subjects such as electromagnetism, microwave, Terahertz, photon, advanced engineering design, communication.
When research material is to the response of other electromagnetic waves such as microwave, in material, any yardstick can describe by the univers parameter DIELECTRIC CONSTANT ε of material and magnetic permeability μ much smaller than the structure of electromagnetic wavelength electromagnetic response.And in the ordinary course of things, specific inductive capacity and magnetic permeability are determined electromagnetic response by each microstructure again.If by making material have required any specific inductive capacity and magnetic permeability distribution to the design of microstructure in material, this is Meta Materials namely.
The specific inductive capacity of material and the distribution of magnetic permeability can be embodied by the distribution of the refractive index n of each point in material.Prior art is the partial differential equation obtaining about refractive index n by MaxwellEquation and EikonalEquation, and then numerical solution obtains the distribution of refractive index n, and this process compares very complicated.Or by manually repeating to arrange numerical value, simulation numerical, adjustment numerical value, again simulation numerical until obtain the mode of optimal result, design Meta Materials, this design process is with blindness, waste a large amount of manpower, material resources and financial resources, and not necessarily can find required target Meta Materials.
Therefore, be necessary to provide a kind of method and the device thereof that obtain Meta Materials index distribution, the above-mentioned Problems existing of effective solution.
Summary of the invention
The technical matters that the present invention mainly solves is to provide a kind of method and the device thereof that obtain Meta Materials index distribution, can very simply, have target, obtain the Meta Materials met the demands targetedly.
For solving the problems of the technologies described above, the technical scheme that the present invention adopts is: provide a kind of method obtaining Meta Materials index distribution, comprising: adopt emulation mode to make electromagnetic wave through this Meta Materials; Obtain in order to describe and to weigh the data of this Meta Materials to electromagnetic response, comprise described electromagnetic wave through the far field data after described Meta Materials; Whether the gap between the emulation far field data judging target far field data and described acquisition is greater than threshold value; If the gap between described far field data is greater than threshold value, change the index distribution of described Meta Materials, and return adopt emulation mode make electromagnetic wave through the step of described Meta Materials, until the gap between described far field data is less than or equal to threshold value.
Wherein, the step of the index distribution of described change Meta Materials comprises: the index distribution changing n point on Meta Materials, and the Meta Materials index distribution after utilizing interpolation method matching to be changed by the index distribution of the n after this change point.
Wherein, the step of the index distribution of described change Meta Materials also comprises: optimize obtained index distribution by Cross-Entropy Algorithm after the Meta Materials index distribution after utilizing interpolation method matching to be changed.
Wherein, the step whether gap between the described emulation far field data judging target far field data and described acquisition is greater than threshold value comprises: adopt evaluation function whether to be greater than threshold value to the gap between the emulation far field data judging target far field data and acquisition.
Wherein, described acquisition comprises in order to describe and to weigh the step of Meta Materials to the data of electromagnetic response: utilize the interface of matlab software and comsol software to extract the data emulating in comsol software and obtain, to obtain in order to describe and to weigh the data of described Meta Materials to electromagnetic response.
For solving the problems of the technologies described above, another technical solution used in the present invention is: provide a kind of device obtaining Meta Materials index distribution, comprising: emulation testing module, makes electromagnetic wave through described Meta Materials for adopting emulation mode; Data acquisition module, for obtaining in order to describe and to weigh the data of described Meta Materials to electromagnetic response, comprises described electromagnetic wave through the far field data after described Meta Materials; Gap analysis module, for judge target far field data and described acquisition emulation far field data between gap whether be greater than threshold value; When the judge module gap be used between described far field data is greater than threshold value, change the index distribution of described Meta Materials, and return adopt emulation mode make electromagnetic wave through the step of described Meta Materials, until the gap between described far field data is less than or equal to threshold value.
Wherein, described judge module is specifically for changing the index distribution of n point on Meta Materials, and the Meta Materials index distribution after utilizing interpolation method matching to be changed by the index distribution of the n after this change point.
Wherein, described judge module is specifically for optimizing obtained index distribution by Cross-Entropy Algorithm after the Meta Materials index distribution after utilizing interpolation method matching to be changed.
Wherein, whether described gap analysis module is greater than threshold value specifically for the gap between the emulation far field data that adopts evaluation function and judge target far field data and acquisition.
Wherein, described data acquisition module specifically utilizes the interface of matlab software and comsol software to extract the data emulating in comsol software and obtain, to obtain in order to describe and to weigh the data of described Meta Materials to electromagnetic response.
The invention has the beneficial effects as follows: the situation being different from prior art, the present invention obtains method and the device thereof of Meta Materials index distribution, the mode of emulation is adopted to test the Meta Materials of design, with target call comparison after acquisition data, after obtaining gap information, change the index distribution of Meta Materials, enter circulation step, in this way, a large amount of manpower, material resources and financial resources can be saved, the target Meta Materials met the demands can be designed more targetedly, quickly.
Accompanying drawing explanation
Fig. 1 is the perspective view of the elementary cell of Meta Materials in the present invention;
Fig. 2 is the process flow diagram that the present invention obtains method one embodiment of Meta Materials index distribution;
Fig. 3 is the refractive index profile of the embodiment of the present invention one Meta Materials;
Fig. 4 is the far-field response figure of the embodiment of the present invention one Meta Materials;
Fig. 5 is the structural representation that the present invention obtains device one embodiment of Meta Materials index distribution.
Embodiment
Below in conjunction with drawings and Examples, the present invention is described in detail.
Light, as electromagnetic one, it is when passing glass, because the wavelength of light is much larger than the size of atom, therefore can use the univers parameter of glass, such as refractive index, instead of the response of glass to light is described the details parameter of the atom of composition glass.Accordingly, when research material is to other electromagnetic responses, in material, any yardstick also can with the univers parameter of material to electromagnetic response much smaller than the structure of electromagnetic wavelength, and such as DIELECTRIC CONSTANT ε and magnetic permeability μ describe.The structure that designing material is often put, makes the specific inductive capacity of material each point and magnetic permeability all identical or different, thus makes the specific inductive capacity of material monolithic and magnetic permeability be certain rule arrangement.Magnetic permeability and the specific inductive capacity of rule arrangement can make material have response macroscopically to electromagnetic wave, such as, converge electromagnetic wave, divergent electromagnetic ripple etc.The material of this magnetic permeability and specific inductive capacity with rule arrangement is referred to as Meta Materials.
As shown in Figure 1, Fig. 1 is the perspective view of the elementary cell forming Meta Materials.The elementary cell of Meta Materials comprises the base material 2 of man-made microstructure 1 and the attachment of this man-made microstructure.In the present invention, man-made microstructure is artificial metal micro structure, it has and produces the plane of response or three-dimensional topological structure to incident electromagnetic wave electric field and/or magnetic field, change pattern and/or the size of the artificial metal's microstructure in each Meta Materials elementary cell, each Meta Materials elementary cell can be changed to the response of incident electromagnetic wave.Multiple Meta Materials elementary cell arranges according to certain rules, and Meta Materials can be made to have the response of macroscopic view to electromagnetic wave.Because Meta Materials entirety need have macroscopical electromagnetic response to incident electromagnetic wave, therefore each Meta Materials elementary cell need form continuous response to the response of incident electromagnetic wave, this requires that the size of each Meta Materials elementary cell is less than incident electromagnetic wave 1/5th wavelength, is preferably incident electromagnetic wave 1/10th wavelength.
In this section describes, it is a kind of artificial method that Meta Materials entirety is divided into multiple Meta Materials elementary cell, and this kind of division methods only for convenience of description, should not regarded Meta Materials as and spliced by multiple Meta Materials elementary cell or assemble.In actual applications, Meta Materials is arranged on base material in artificial metal's microstructure cycle to be formed, and technique is simple and with low cost.Namely cycle arrangement refers to that the artificial metal's microstructure in each Meta Materials elementary cell of above-mentioned artificial division can produce continuous print electromagnetic response to incident electromagnetic wave.
Fig. 2 is the process flow diagram that the present invention obtains an embodiment of the method for Meta Materials index distribution, and as shown in Figure 2, the method for this acquisition Meta Materials index distribution comprises the steps:
Step 201: adopt emulation mode to make electromagnetic wave through described Meta Materials.
Rule of thumb design the Meta Materials that has initial index of refraction distribution in advance, adopt emulation mode to make electromagnetic wave through the Meta Materials with initial index of refraction distribution.
Step 202: obtain in order to describe and to weigh the data of described Meta Materials to electromagnetic response, comprise described electromagnetic wave through the far field data after described Meta Materials.
Described far field data comprises far gain, half power bandwidth width values, main lobe peak value etc.Judge whether Meta Materials realizes required macroscopical electromagnetic response, and such as incident electromagnetic wave is converged, deviation according to those far field data, far gain raising etc.
Step 203: whether the gap between the emulation far field data judging target far field data and described acquisition is greater than threshold value.
Described target far field data namely refer to described Meta Materials need realize such as converging electromagnetic wave, deviation electromagnetic wave, by incident electromagnetic wave with functions such as plane electromagnetic wave radiate time, need the far field data value reached.
In a preferred embodiment, the step whether gap between the described emulation far field data judging target far field data and described acquisition is greater than threshold value comprises: adopt evaluation function whether to be greater than threshold value to the gap between the emulation far field data judging target far field data and acquisition.Described evaluation function will evaluate according to the requirement of target far field data.Such as, target far field data requires that half-power bandwidth is the smaller the better, main lobe peak value is the bigger the better, side lobe peak is the smaller the better.Therefore, the evaluation function designed must evaluate the weighting of half-power bandwidth, main lobe peak value and side lobe peak or half-power bandwidth and main lobe peak value respectively.
Step 204: if the gap between described far field data is greater than threshold value, change the index distribution of described Meta Materials, and return adopt emulation mode make electromagnetic wave through the step of described Meta Materials, until the gap between described far field data is less than or equal to threshold value.
In a preferred embodiment, the step of the index distribution of described change Meta Materials comprises: the index distribution changing n point on Meta Materials, and the Meta Materials index distribution after utilizing interpolation method matching to be changed by the index distribution of the n after this change point.
Particularly, described Meta Materials is virtually divided into multiple Meta Materials elementary cell, change the refractive index of n Meta Materials elementary cell in the plurality of Meta Materials elementary cell, the index distribution of the Meta Materials entirety after utilizing the refractive index of the n after this change Meta Materials elementary cell to be changed by interpolation method matching.Wherein, the refractive index changing this n Meta Materials elementary cell can be realized by the size or structure changing the man-made microstructure in this n Meta Materials elementary cell.
So-called interpolation method, it is a kind of important method of approximation of function, also known as " interpolation method ", utilize the functional value of function f (x) some points in certain interval, make suitable specific function, these aspects get given value, by the approximate value of the value of this specific function as function f (x) on other aspects in interval.Interpolation herein, can adopt Lagrange's interpolation, Newton interpolation, Hermite interpolation or piecewise polynomial interpolation etc.
Preferably, after utilizing interpolation method to obtain Meta Materials index distribution, the index distribution that Cross-Entropy Algorithm optimization can also be utilized to obtain, makes this Meta Materials index distribution more meet demand.Cross-Entropy Algorithm mainly comprises an iterative process, and each iteration can be divided into two processes: the first, produces one group of sample immediately according to specific generation mechanism; In the present embodiment, refer to utilize method of interpolation to obtain index distribution; The second, by the parameter of this sample production mechanism of Sample Refreshment generated, to make to produce better sample during next iteration, in the present embodiment, refer to utilize the index distribution obtained to upgrade the parameter of method of interpolation to obtain the index distribution more optimized.
Further, the method for described acquisition Meta Materials index distribution can utilize the interface of matlab software and comsol software to extract the data emulating in comsol software and obtain, to obtain in order to describe and to weigh the data of described Meta Materials to electromagnetic response.Obtaining and can use matlab Software tool in order to describe and to weigh Meta Materials to the mode of the data of electromagnetic response, also can be the mathematical software instrument that other can use with comsol coupling.
The present embodiment adopts the mode of emulation to test the Meta Materials of design, with target call comparison after acquisition data, after obtaining gap information, change the index distribution of Meta Materials, enter circulation step, in this way, a large amount of manpower, material resources and financial resources can be saved, and method is simple, can design the target Meta Materials met the demands more targetedly, quickly.
As shown in Figure 3, Fig. 3 is the refractive index profile obtaining an embodiment in the present invention according to above-mentioned acquisition Meta Materials index method.In the present embodiment, electromagnetic wave is launched by point source, and the electromagnetic wave that point source is launched is spherical wave, and the index distribution of Meta Materials adopts concentric circles distribution, namely with Meta Materials central point for the center of circle, the index distribution at same radius place is identical.In Fig. 3, namely X-axis represents the radius value of Meta Materials, and Y-axis represents corresponding refractive index value.As can be seen from Figure 3, it is maximum that the index distribution of Meta Materials presents center, the minimum distribution in both sides, and according to electromagnetic wave skew principle, electromagnetic wave can to the large place skew of refractive index.Therefore, the spherical electromagnetic wave that point source is sent converges by the Meta Materials with index distribution shown in Fig. 3.
Please refer to Fig. 4, the electromagnetic wave that Fig. 4 sends for point source is by the far-field pattern had after the Meta Materials response of index distribution shown in Fig. 3.As can be seen from Figure 4, it has maximum main lobe peak value 77.9dB at central point.Achieve electromagnetic wave convergence function, and main lobe peak value is comparatively large, is applicable to the application of long distance electromagnetic transmission.
Fig. 5 is the structural representation that the present invention obtains another embodiment of the device of Meta Materials index distribution, as shown in Figure 5, the device of this acquisition Meta Materials index distribution comprises: emulation testing module 501, data acquisition module 502, gap analysis module 503 and judge module 504.
Emulation testing module 501 makes electromagnetic wave through described Meta Materials for adopting emulation mode.Rule of thumb design the Meta Materials that has initial index of refraction distribution in advance, adopt emulation mode to make electromagnetic wave through the Meta Materials with initial index of refraction distribution.
Data acquisition module 502, for obtaining in order to describe and to weigh the data of described Meta Materials to electromagnetic response, comprises described electromagnetic wave through the far field data after described Meta Materials.
Described far field data comprises far gain, half power bandwidth width values, main lobe peak value etc.Judge whether Meta Materials realizes required macroscopical electromagnetic response, and such as incident electromagnetic wave is converged, deviation according to those far field data, far gain raising etc.
In a preferred embodiment, described data acquisition module specifically utilizes the interface of matlab software and comsol software to extract the data emulating in comsol software and obtain, to obtain in order to describe and to weigh the data of described Meta Materials to electromagnetic response.Obtaining and can use matlab Software tool in order to describe and to weigh Meta Materials to the mode of the data of electromagnetic response, also can be the mathematical software instrument that other can use with comsol Software match.
Gap analysis module 503 for judge target far field data and described acquisition emulation far field data between gap whether be greater than threshold value.
Described target far field data namely refer to described Meta Materials need realize such as converging electromagnetic wave, deviation electromagnetic wave, by incident electromagnetic wave with functions such as plane electromagnetic wave radiate time, need the far field data value reached.
In a preferred embodiment, whether described gap analysis module is greater than threshold value specifically for the gap between the emulation far field data that adopts evaluation function and judge target far field data and acquisition.Described evaluation function will evaluate according to the requirement of target far field data.
When judge module 504 is greater than threshold value for the gap between described far field data, change the index distribution of described Meta Materials, and return adopt emulation mode make electromagnetic wave through the step of described Meta Materials, until the gap between described far field data is less than or equal to threshold value.
In a preferred embodiment, described judge module is specifically for changing the index distribution of n point on Meta Materials, and the Meta Materials index distribution after utilizing interpolation method matching to be changed by the index distribution of the n after this change point.
Particularly, described Meta Materials is virtually divided into multiple Meta Materials elementary cell, change the refractive index of n Meta Materials elementary cell in the plurality of Meta Materials elementary cell, the index distribution of the Meta Materials entirety after utilizing the refractive index of the n after this change Meta Materials elementary cell to be changed by interpolation method matching.Wherein, the refractive index changing this n Meta Materials elementary cell can be realized by the size or structure changing the man-made microstructure in this n Meta Materials elementary cell.
So-called interpolation method, it is a kind of important method of approximation of function, also known as " interpolation method ", utilize the functional value of function f (x) some points in certain interval, make suitable specific function, these aspects get given value, by the approximate value of the value of this specific function as function f (x) on other aspects in interval.
In another preferred embodiment, described judge module is specifically for after utilizing interpolation method to obtain Meta Materials index distribution, and the index distribution that Cross-Entropy Algorithm optimization can also be utilized to obtain, makes this Meta Materials index distribution more meet demand.Cross-Entropy Algorithm mainly comprises an iterative process, and each iteration can be divided into two processes: the first, produces one group of sample immediately according to specific generation mechanism; In the present embodiment, refer to utilize method of interpolation to obtain index distribution; The second, by the parameter of this sample production mechanism of Sample Refreshment generated, to make to produce better sample during next iteration, in the present embodiment, refer to utilize the index distribution obtained to upgrade the parameter of method of interpolation to obtain the index distribution more optimized.
Be different from the situation of prior art, the present invention obtains method and the device thereof of Meta Materials index distribution, the mode of emulation is adopted to test the Meta Materials of design, with target call comparison after acquisition data, after obtaining gap information, change the index distribution of Meta Materials, enter circulation step, in this way, a large amount of manpower, material resources and financial resources can be saved, and method is simple, utilizes statistic algorithm cross entropy to optimize index distribution, can design the target Meta Materials met the demands more targetedly, quickly simultaneously.
The foregoing is only embodiments of the invention; not thereby the scope of the claims of the present invention is limited; every utilize instructions of the present invention and accompanying drawing content to do equivalent structure or equivalent flow process conversion; or be directly or indirectly used in other relevant technical fields, be all in like manner included in scope of patent protection of the present invention.
Claims (6)
1. obtain a method for Meta Materials index distribution, it is characterized in that, comprising:
Emulation mode is adopted to make electromagnetic wave through described Meta Materials;
Obtain in order to describe and to weigh the data of described Meta Materials to electromagnetic response, comprise described electromagnetic wave through the far field data after described Meta Materials;
Whether the gap between the emulation far field data judging target far field data and described acquisition is greater than threshold value;
If the gap between described far field data is greater than threshold value, change the index distribution of described Meta Materials, and return adopt emulation mode make electromagnetic wave through the step of described Meta Materials, until the gap between described far field data is less than or equal to threshold value;
The step of the index distribution of described change Meta Materials also comprises: optimize obtained index distribution by Cross-Entropy Algorithm after the Meta Materials index distribution after utilizing interpolation method matching to be changed;
Described Cross-Entropy Algorithm comprises an iterative process, and each iteration can be divided into two processes: the first, produces one group of random sample, namely utilize method of interpolation to obtain index distribution according to generation mechanism; The second, by the parameter of this sample generation mechanism of Sample Refreshment generated, to make to produce better sample during next iteration;
The step whether gap between the described emulation far field data judging target far field data and described acquisition is greater than threshold value comprises: adopt evaluation function whether to be greater than threshold value to the gap between the emulation far field data judging target far field data and acquisition;
Described evaluation function evaluates according to the requirement of target far field data, and described evaluation function can evaluate the weighting of half-power bandwidth, main lobe peak value, side lobe peak, half-power bandwidth and main lobe peak value.
2. method according to claim 1, it is characterized in that, the step of the index distribution of described change Meta Materials comprises: the index distribution changing n point on Meta Materials, and the Meta Materials index distribution after utilizing interpolation method matching to be changed by the index distribution of the n after this change point.
3. method according to claim 1 and 2, it is characterized in that, described acquisition comprises in order to describe and to weigh the step of Meta Materials to the data of electromagnetic response: utilize the interface of matlab software and comsol software to extract the data emulating in comsol software and obtain, to obtain in order to describe and to weigh the data of described Meta Materials to electromagnetic response.
4. obtain a device for Meta Materials index distribution, it is characterized in that, comprising:
Emulation testing module, makes electromagnetic wave through described Meta Materials for adopting emulation mode;
Data acquisition module, for obtaining in order to describe and to weigh the data of described Meta Materials to electromagnetic response, comprises described electromagnetic wave through the far field data after described Meta Materials;
Gap analysis module, for judge target far field data and described acquisition emulation far field data between gap whether be greater than threshold value;
Judge module, when being greater than threshold value for the gap between described far field data, change the index distribution of described Meta Materials, and return adopt emulation mode make electromagnetic wave through the step of described Meta Materials, until the gap between described far field data is less than or equal to threshold value;
Described judge module is specifically for optimizing obtained index distribution by Cross-Entropy Algorithm after the Meta Materials index distribution after utilizing interpolation method matching to be changed;
Described Cross-Entropy Algorithm comprises an iterative process, and each iteration can be divided into two processes: the first, produces one group of random sample, namely utilize method of interpolation to obtain index distribution according to generation mechanism; The second, by the parameter of this sample generation mechanism of Sample Refreshment generated, to make to produce better sample during next iteration;
Specifically for employing evaluation function, described gap analysis module judges whether the gap between the emulation far field data of target far field data and acquisition is greater than threshold value;
Described evaluation function evaluates according to the requirement of target far field data, and described evaluation function can evaluate the weighting of half-power bandwidth, main lobe peak value, side lobe peak, half-power bandwidth and main lobe peak value.
5. device according to claim 4, it is characterized in that, described judge module is specifically for changing the index distribution of n point on Meta Materials, and the Meta Materials index distribution after utilizing interpolation method matching to be changed by the index distribution of the n after this change point.
6. the device according to claim 4 or 5, it is characterized in that, described data acquisition module specifically in order to utilize the interface of matlab software and comsol software to extract the data emulating in comsol software and obtain, with obtain in order to describe and weigh the data of described Meta Materials to electromagnetic response.
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