CN103164557B - A kind of Meta Materials design apparatus and method for designing thereof - Google Patents
A kind of Meta Materials design apparatus and method for designing thereof Download PDFInfo
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Abstract
The invention provides a kind of Meta Materials design apparatus and method for designing thereof.Wherein, Meta Materials comprises base material and cycle and is arranged in multiple man-made structures on base material, and the method comprises: produce one with the structural parameters of Meta Materials for independent variable, the response curve being dependent variable with the physical characteristics of Meta Materials; By parametric equation, matching is carried out to response curve; Decompose to obtain multiple parameter to parametric equation; Useful parameter sets in multiple parameters that the decomposition had in extracted data storehouse obtains; Further the structural parameters of Meta Materials are designed according to useful parameter sets, to obtain the Meta Materials with required physical characteristics.By the way, Meta Materials design apparatus of the present invention and method thereof can carry out test repeatedly and improvement by computer simulation technique and corresponding statistic op-timization technology to the Theoretical Design of Meta Materials, to make the result of design closest to the requirement of producing, improve the accuracy rate of design and reduce design cost.
Description
Technical field
The present invention relates to Meta Materials technical field, particularly relate to a kind of Meta Materials design apparatus and method for designing thereof.
Background technology
When research material is to electromagnetic response, 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 often put by designing material is made 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.Such have rule arrangement magnetic permeability and specific inductive capacity material we be referred to as Meta Materials.Meta Materials generally includes base material and cycle and is arranged in multiple man-made microstructure on base material, and the part base material of each man-made microstructure and its attachment can regard a metamaterial unit as.Multiple metamaterial unit arranges according to certain rules and can obtain the specific response curve of electromagnetic wave.The feature of the electromagnetic response of Meta Materials is that the characteristic of the man-made microstructure be arranged on base material by the characteristic of base material and cycle determines jointly, the characteristic of man-made microstructure comprises it and prepares material, topological structure and physical dimension, and the characteristic of base material depends on that it prepares material and size.Therefore, when base material is certain, is changed the characteristic of man-made microstructure by design, required electromagnetic response can be reached, thus the physical characteristics obtained required for us, as specific electric field response curve, magnetic responsiveness curve and/or response of refractive index curve etc.Because Meta Materials can change electromagnetic wave propagation path by the refractive index changing medium, so usually carry out Meta Materials design by calculating electromagnetic wave propagation path.In the prior art, usually use transform optics, geometrical optics and numerical evaluation mode to design Meta Materials.Transform optics mode mainly uses for reference the phenomenon that gravitational field affects light wave, utilizes general relativity and non-euclidean geometry to calculate electromagnetic wave propagation path in nonhomogeneous media.Electromagnetic wave is mainly approximately light wave by geometrical optics mode, utilizes conventional geometric optical theory to calculate electromagnetic wave propagation path.Numerical evaluation mode mainly utilizes as method solution partial differential equation such as finite elements, draws the solution of maxwell equation group and boundary condition under prescribed conditions, thus obtains electromagnetic wave propagation path.Three kinds of modes described above are all design Meta Materials by single calculation electromagnetic wave propagation path.The result calculated and theoretical result have larger deviation, therefore can not design required Meta Materials exactly.If want to obtain result more accurately simultaneously, then need repeatedly to calculate separately, thus cause design cost high.
Therefore, need to provide a kind of Meta Materials design apparatus and method for designing thereof, the technical matters that when designing Meta Materials to solve in prior art, accuracy rate is low and design cost is high.
Summary of the invention
The technical matters that the present invention mainly solves is to provide a kind of Meta Materials design apparatus and method for designing thereof, to improve the accuracy rate of Meta Materials design and to reduce design cost.
For solving the problems of the technologies described above, the technical scheme that the present invention adopts is: provide a kind of Meta Materials method for designing, wherein, Meta Materials comprises base material and cycle and is arranged in multiple man-made microstructure on base material, this Meta Materials method for designing comprises: produce one with the structural parameters of Meta Materials for independent variable, the response curve being dependent variable with the physical characteristics of Meta Materials; By parametric equation, matching is carried out to response curve; Decompose to obtain multiple parameter to parametric equation; Useful parameter sets in multiple parameters that the decomposition had in extracted data storehouse obtains; Further the structural parameters of Meta Materials are designed according to useful parameter sets, to obtain the Meta Materials with required physical characteristics.
Wherein, the structural parameters of Meta Materials are material, the size of base material, and the material of man-made microstructure, topological structure and geometry, the physical characteristics of Meta Materials is electric field response, magnetic responsiveness and/or refractive index.
Wherein, by parametric equation, the step that response curve carries out matching is comprised: service time-space Gaussian process method carries out matching by parametric equation to response curve.
Wherein, the step that parametric equation decomposes to obtain multiple parameter is comprised: use Polynomial Method, Fourier transformation method or small wave converting method also to realize decomposing to obtain multiple parameter to parametric equation by MATLAB.
Wherein, the step of the useful parameter sets in multiple parameters that the decomposition had in extracted data storehouse obtains comprises: on the basis of information extracting parametric equation, pass through the useful parameter sets in the multiple parameters using the decomposition had in Boosting, Lasso or Dantzig extracted data storehouse to obtain.
For solving the problems of the technologies described above, the technical scheme that the present invention adopts is: provide a kind of Meta Materials design apparatus, described Meta Materials comprises base material and cycle and is arranged in multiple man-made microstructure on base material, this Meta Materials design apparatus comprises: emulation module, for generation of one with the structural parameters of Meta Materials for independent variable, the response curve being dependent variable with the physical characteristics of Meta Materials; Fitting module, for carrying out matching by parametric equation to response curve; Decomposing module, obtains multiple parameter for decomposing parametric equation; Abstraction module, the useful parameter sets in multiple parameters that the decomposition for having in extracted data storehouse obtains; Design module, for designing the structural parameters of Meta Materials further according to useful parameter sets, to obtain the Meta Materials with required physical characteristics.
Wherein, the structural parameters of the Meta Materials in emulation module are material, the size of base material, and the material of man-made microstructure, topological structure and geometry, the physical characteristics of Meta Materials is electric field response, magnetic responsiveness and/or refractive index.
Wherein, fitting module service time-space Gaussian process method carries out matching by parametric equation to response curve.
Wherein, decomposing module uses Polynomial Method, Fourier transformation method or small wave converting method and realizes decomposing to obtain multiple parameter to parametric equation by MATLAB.
Wherein, abstraction module passes through the useful parameter sets in the multiple parameters using the decomposition had in Boosting, Lasso or Dantzig extracted data storehouse to obtain on the basis of information extracting parametric equation.
The invention has the beneficial effects as follows: the situation being different from prior art, Meta Materials design apparatus of the present invention and method for designing thereof can carry out test repeatedly and improvement by computer simulation technique and corresponding statistic op-timization technology to the Theoretical Design of Meta Materials, to make the result of design closest to the requirement of producing, improve the accuracy rate of design and reduce design cost.
Accompanying drawing explanation
Fig. 1 is the process flow diagram of the embodiment of Meta Materials method for designing of the present invention;
Fig. 2 is the structural representation of Meta Materials design apparatus first embodiment of the present invention;
Fig. 3 is the structural representation of Meta Materials design apparatus second embodiment of the present invention.
Embodiment
Please refer to Fig. 1, Fig. 1 is the process flow diagram of the embodiment of Meta Materials method for designing of the present invention.As shown in Figure 1, Meta Materials method for designing 100 comprises the steps:
Step S1: produce one with the structural parameters of Meta Materials for independent variable, the response curve being dependent variable with the physical characteristics of Meta Materials;
Because Meta Materials comprises base material and cycle and is arranged in multiple man-made microstructure on base material, therefore, when base material is certain, change the characteristic of man-made microstructure to obtain the physical characteristics required for us by design.The present invention utilizes realistic model (realistic model is COMSOL model) to emulate to obtain the structural parameters of Meta Materials to the man-made microstructure of Meta Materials, and set up one with the structural parameters of Meta Materials for independent variable, the response curve being dependent variable with the physical characteristics of Meta Materials by the structural parameters of Meta Materials and the particular kind of relationship of its physical characteristics.
Separately, Meta Materials can change electromagnetic wave propagation path by the refractive index changing medium, and the structure of Meta Materials directly affects the index distribution of Meta Materials, therefore the structure (i.e. man-made microstructure) of COMSOL realistic model to Meta Materials emulates the structural parameters obtaining Meta Materials, then obtained the index distribution of Meta Materials by the structural parameters of Meta Materials and the particular kind of relationship of its index distribution, the impact of index distribution on electromagnetic wave propagation path finally by Meta Materials obtains electromagnetic wave propagation path.Namely obtain the response curve in a metamaterial structure parameter-Electromagnetic Wave Propagation path, or be independent variable with refractive index, obtain the response curve in one refractive index-Electromagnetic Wave Propagation path.
Separately, realistic model can emulate to obtain corresponding response curve to other character of Meta Materials, as specific electric field response curve, magnetic responsiveness curve and/or response of refractive index curve etc., does not repeat them here.
Step S2: matching is carried out to response curve by parametric equation;
A comparatively mixed and disorderly irregular response curve parametric equation is mainly expressed by the effect of matching.In order to obtain the effect of more fully optimal design, different parametric equations can be used to carry out matching to response curve.
Step S3: decompose to obtain multiple parameter to parametric equation;
The present embodiment uses Polynomial Method, Fourier transformation method or small wave converting method and realizes decomposing to obtain multiple parameter to parametric equation by MATLAB.Parametric equation can be decomposed into series of parameters, as f (θ)=f (θ
1, θ
2... θ
m), wherein, number of parameters m is larger, illustrates that the parametric equation complexity of definition is higher, more can describe the state of former response curve.Namely more can show the structural parameters of Meta Materials and the relation of its physical characteristics, improve the accuracy of data analysis.
In addition, the additive method of prior art can be adopted to decompose parametric equation, do not repeat them here.
Step S4: the useful parameter sets in multiple parameters that the decomposition had in extracted data storehouse obtains;
The basis of information extracting parametric equation is passed through the useful parameter sets in the multiple parameters using the decomposition had in Boosting, Lasso or Dantzig extracted data storehouse to obtain.Wherein, the information of this parametric equation is commonly referred to as the decomposed form of parametric equation.Namely the method such as Boosting, Lasso or Dantzig sets up a selective rule or choice function equation after the information of decomposed form extracting parametric equation, then be applied in database (database have parametric equation is decomposed after the parameter that obtains), thus extract useful parameter sets.
Through extraction step, obtaining useful parameter, providing valid data for carrying out design to the structural parameters of Meta Materials further.In addition, the additive method of prior art can be adopted to extract useful parameter sets, do not repeat them here.
Step S5: design the structural parameters of Meta Materials further according to useful parameter sets, to obtain the Meta Materials with required physical characteristics.
Namely design the structural parameters of Meta Materials is further act on realistic model further to produce response curve according to extracting the useful parameter sets obtained, and then remakes further statistic op-timization.
With reference to the structural representation that figure 2, Fig. 2 is Meta Materials design apparatus first embodiment of the present invention.As shown in Figure 2, Meta Materials design apparatus 200 comprises emulation module 201, fitting module 202, decomposing module 203, abstraction module 204 and design module 205.
Wherein, realistic model used in the present invention is COMSOL realistic model.Emulation module 201 for generation of one with the structural parameters of Meta Materials for independent variable, the response curve being dependent variable with the physical characteristics of Meta Materials.Structural parameters because of Meta Materials are material, the size of base material, the material of man-made microstructure, topological structure and physical dimension.Therefore, base material one timing, the structural parameters obtaining Meta Materials are emulated by the structure (i.e. man-made microstructure) of COMSOL realistic model to Meta Materials, and set up one with the structural parameters of Meta Materials for independent variable according to the structural parameters of Meta Materials and the particular kind of relationship of its physical characteristics, the response curve being dependent variable with the physical characteristics of Meta Materials.
In addition, emulation module 201 can be made up of the realistic model that can realize arbitrarily copying, does not repeat them here.
Fitting module 202 mainly carries out matching to the response curve produced in emulation module 201.Represent to make a rambling response curve parametric equation.The present embodiment mainly utilizes time-space Gaussian process method to carry out matching by the form of parametric equation to response curve.
Decomposing module 203 mainly decomposes to obtain series of parameters to the parametric equation in fitting module 202.The present embodiment mainly uses Polynomial Method, Fourier transformation method or small wave converting method and realizes decomposing to obtain multiple parameter to parametric equation by MATLAB
Abstraction module 204 mainly extracts the useful parameter sets in the parameter of to decompose from decomposing module 203 and obtaining.Extracting the useful parameter sets obtained is carry out design to the structural parameters of Meta Materials further to provide effective data, and the present invention mainly utilizes the method for the statistic op-timization such as Boosting, Lasso or Dantzig to extract useful parameter sets from the parameter after a large amount of decomposition.
The useful parameter sets that design module 205 mainly utilizes abstraction module 204 to be drawn into designs the structural parameters of Meta Materials further, to obtain the Meta Materials with required physical characteristics, as having the Meta Materials of the characteristics such as required convergence electromagnetic wave, divergent electromagnetic ripple.
Design module 205 is mainly undertaken designing by control imitation module 201.
Please refer to Fig. 3, Fig. 3 is the structural representation of Meta Materials design apparatus second embodiment of the present invention.Meta Materials design apparatus 300 of the present invention is with the difference of Meta Materials design apparatus 200 of the present invention, as shown in Figure 3, Meta Materials design apparatus 300 of the present invention comprises emulation module 301, parametric equation module 302, database module 303 and statistic op-timization module 304.
Wherein, parametric equation module 302 comprises: by parametric equation to emulation module 301 produce with the structural parameters of Meta Materials for independent variable, the response curve being dependent variable with the physical characteristics of Meta Materials carries out matching and decomposes to obtain series of parameters to parametric equation.Current the used method of parametric equation module 302 includes but not limited to polynomial method, fourier transform method, Wavelet Transform and time-space Gaussian process method.
Such as, when designing Meta Materials electromagnetic wave being had to response, the structure of Meta Materials can be designed with the specific inductive capacity of the Meta Materials of regularly being arranged and magnetic permeability.Namely emulate with the structural parameters of realistic model to Meta Materials, set up one with the structural parameters of Meta Materials for independent variable, the response curve being dependent variable with the specific inductive capacity of Meta Materials and magnetic permeability.Then matching and resolution parameter equation are carried out to curve.
Database module 303 is mainly used in decomposing to parametric equation the multiple parameters obtained in stored parameter equation module 302.
Statistic op-timization module 304 comprises: the useful parameter sets in the multiple parameters had in extracted data library module 303 on the basis of information extracting parametric equation from parametric equation module 302, and further the structural parameters of Meta Materials are designed according to useful parameter sets, to obtain the Meta Materials with required physical characteristics.Current the used method of statistic op-timization module 304 includes but not limited to Boosting, Lasso and Dantzig.
Interface between above-mentioned parametric equation module 302, database module 303 and statistic op-timization module 304 is all by MATLAB programming realization.
In sum, the present invention utilizes the structural parameters of computing machine to Meta Materials to emulate to produce response curve, by parametric equation matching carried out to response curve again and decompose parametric equation to obtain multiple parameter, finally extract useful parameter and the structural parameters of further design Meta Materials, to obtain the Meta Materials with required physical characteristics.By the way, the present invention carries out test repeatedly and improvement to the Theoretical Design of Meta Materials, to make the result of design closest to the requirement of producing, improves the accuracy rate of design and reduces design cost.
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 (4)
1. a Meta Materials method for designing, described Meta Materials comprises base material and cycle and is arranged in multiple man-made microstructure on base material, it is characterized in that,
Produce one with the structural parameters of Meta Materials for independent variable, the response curve being dependent variable with the physical characteristics of Meta Materials;
By parametric equation, matching is carried out to described response curve; Describedly by parametric equation, the step that described response curve carries out matching to be comprised: service time-space Gaussian process method carries out matching by parametric equation to described response curve;
Decompose to obtain multiple parameter to described parametric equation; Described the step that described parametric equation decomposes to obtain multiple parameter to be comprised: use Polynomial Method, Fourier transformation method or small wave converting method also to realize decomposing to obtain multiple parameter to described parametric equation by MATLAB;
Useful parameter sets in multiple parameters that the described decomposition had in extracted data storehouse obtains; The step of the useful parameter sets in multiple parameters that the described decomposition had in described extracted data storehouse obtains comprises: on the basis of information extracting parametric equation, pass through the useful parameter sets in the multiple parameters using the described decomposition had in Boosting, Lasso or Dantzig extracted data storehouse to obtain;
Further the structural parameters of Meta Materials are designed according to described useful parameter sets, to obtain the Meta Materials with required physical characteristics.
2. Meta Materials method for designing according to claim 1, it is characterized in that, the structural parameters of described Meta Materials are material, the size of described base material, and the material of described man-made microstructure, topological structure and physical dimension, the physical characteristics of described Meta Materials is electric field response, magnetic responsiveness and/or refractive index.
3. a Meta Materials design apparatus, described Meta Materials comprises base material and cycle and is arranged in multiple man-made microstructure on base material, and it is characterized in that, described Meta Materials design apparatus comprises:
Emulation module, for generation of one with the structural parameters of Meta Materials for independent variable, the response curve being dependent variable with the physical characteristics of Meta Materials;
Fitting module, for carrying out matching by parametric equation to described response curve, described fitting module service time-space Gaussian process method carries out matching by parametric equation to described response curve;
Decomposing module, for decomposing to obtain multiple parameter to described parametric equation, described decomposing module uses Polynomial Method, Fourier transformation method or small wave converting method and realizes decomposing to obtain multiple parameter to described parametric equation by MATLAB;
Abstraction module, for the useful parameter sets in multiple parameters that the described decomposition had in extracted data storehouse obtains, described abstraction module passes through the useful parameter sets in the multiple parameters using the described decomposition had in Boosting, Lasso or Dantzig extracted data storehouse to obtain on the basis of information extracting parametric equation;
Design module, for designing the structural parameters of Meta Materials further according to described useful parameter sets, to obtain the Meta Materials with required physical characteristics.
4. Meta Materials design apparatus according to claim 3, it is characterized in that, the structural parameters of the described Meta Materials in described emulation module are material, the size of described base material, and the material of described man-made microstructure, topological structure and physical dimension, the physical characteristics of described Meta Materials is electric field response, magnetic responsiveness and/or refractive index.
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