CN102682142B - Method and device for electromagnetic simulation data compression of metamaterial block construction - Google Patents
Method and device for electromagnetic simulation data compression of metamaterial block construction Download PDFInfo
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- CN102682142B CN102682142B CN201110066501.6A CN201110066501A CN102682142B CN 102682142 B CN102682142 B CN 102682142B CN 201110066501 A CN201110066501 A CN 201110066501A CN 102682142 B CN102682142 B CN 102682142B
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Abstract
The invention provides a method and a device for electromagnetic simulation data compression of a metamaterial block construction. The method comprises the steps of S1: obtaining an initial electromagnetic response curve of the block construction in an electromagnetic frequency range from f<begin> to f<end>; S2: conducting a smoothing process on the initial electromagnetic response curve to obtain a final electromagnetic response curve; S3: dividing the final electromagnetic response curve into M sections; S4: selecting a parameter model D<i> for the ith curve; and S5: achieving optimal fitting between each selected parameter model D<i> and the corresponding ith curve. By the aid of the method and the device for electromagnetic simulation data compression of the metamaterial block construction, large-scale automation design and industrial application of metamaterials are positively facilitated.
Description
[technical field]
The present invention relates to Meta Materials field, particularly relate to a kind of metamaterial modular construction Electromagnetic Simulation data compression method and device.
[background technology]
The design of Meta Materials far exceeds general material with application, and the rank of its complicacy and large-scale data exceeds several order of magnitude than general material.
And traditional research to artificial electromagnetic material and information extracting method, still rest on and carry out manual adjustment and design phase with artificial experience.Thus, greatly reduce the efficiency that electromagnetic property data are extracted, for the information storage means electromagnetic property Data Market after extraction not having standard, directly store the space internal memory that original discrete data point then needs to overrun.These shortcomings hinder artificial electromagnetic material greatly in the extensive the Automation Design of industrial community and application.
For the extraction of artificial electromagnetic material structural unit electromagnetic property, and the problem existing for standardized structural design proposal, be a current urgent need to solve the problem in the world.
[summary of the invention]
The present invention is directed to prior art, lack standardized design, manually can only design and cause the defect of inefficiency, providing a kind of method that standard information is extracted and stored, can effective data compression be carried out simultaneously.
The invention provides a kind of metamaterial modular construction Electromagnetic Simulation data compression method and device, method comprises the following steps:
S1: obtain electromagnetic frequency from f
beginto f
endthe initial electromagnetic response curve of cellular construction;
S2: final electromagnetic response curve is obtained to the smoothing process of initial electromagnetic response curve;
S3: final electromagnetic response curve is divided into M section, is followed successively by first paragraph curve to M section curve, wherein M be more than or equal to 2 natural number;
S4: be respectively the selected sub-parameter model D of i-th section of curve
i, i is the natural number being less than or equal to M, then whole final electromagnetic response curve parameter model D=[D
1, D
2..., D
m] represent;
S5: realize selected parameter model D to the optimal fitting of final electromagnetic response curve.
In metamaterial modular construction Electromagnetic Simulation data compression method of the present invention, in step S
1in, use CST the Realization of Simulation.
In metamaterial modular construction Electromagnetic Simulation data compression method of the present invention, electromagnetic response curve transverse axis represents frequency, and the longitudinal axis represents electromagnetic response parameter.
In metamaterial modular construction Electromagnetic Simulation data compression method of the present invention, electromagnetic response parameter is specific inductive capacity or magnetic permeability.
In metamaterial modular construction Electromagnetic Simulation data compression method of the present invention, in step s 4 which, parameter model D is cubic spline parameter model, each subparameter model D
ibe cubic function.
The invention still further relates to a kind of metamaterial modular construction Electromagnetic Simulation data compression device, device comprises:
Obtain response curve module: for obtaining electromagnetic frequency from f
beginto f
endthe initial electromagnetic response curve of cellular construction;
Response curve processing module: for obtaining final electromagnetic response curve to the smoothing process of initial electromagnetic response curve;
Response curve divide module: for final electromagnetic response curve is divided into M section, be followed successively by first paragraph curve to M section curve, wherein M be more than or equal to 2 natural number;
Parameter model chosen module: for being respectively the selected sub-parameter model D of i-th section of curve
i, i is the natural number being less than or equal to M, then whole final electromagnetic response curve parameter model D=[D
1, D
2..., D
m] represent;
Response curve fitting module: for the parameter model D that realizes selecting to the optimal fitting of final electromagnetic response curve.
In metamaterial modular construction Electromagnetic Simulation data compression device of the present invention, in acquisition response curve module, use CST the Realization of Simulation.
In metamaterial modular construction Electromagnetic Simulation data compression device of the present invention, in acquisition response curve module, electromagnetic response curve transverse axis represents frequency, and the longitudinal axis represents electromagnetic response parameter.
In metamaterial modular construction Electromagnetic Simulation data compression device of the present invention, electromagnetic response parameter is specific inductive capacity or magnetic permeability.
In metamaterial modular construction Electromagnetic Simulation data compression device of the present invention, in parameter model chosen module, parameter model D is cubic spline parameter model, subparameter model D
ibe cubic function.
The present invention is directed to the deficiencies in the prior art, a kind of method that standardized information extracts and stores is provided, utilize mathematics method to extract characteristic information of electromagnetic property curve, information is effectively compressed, thus greatly facilitates the extensive the Automation Design of metamaterial structure unit.
[accompanying drawing explanation]
Fig. 1 is the process flow diagram of the present invention to the data compression of metamaterial modular construction Electromagnetic Simulation;
Fig. 2 is based on the curve map designed the data compression of metamaterial modular construction Electromagnetic Simulation in the embodiment of the present invention.
[embodiment]
Below in conjunction with drawings and Examples, the present invention is described in detail.
See a kind of metamaterial modular construction Electromagnetic Simulation data compression method shown in Fig. 1, Fig. 1, method comprises the following steps:
S1: obtain electromagnetic frequency from f
beginto f
endthe initial electromagnetic response curve of cellular construction;
In step sl, use CST emulation or other method to carry out the emulation of electromagnetic response curve, obtain the frequency range [f preset
begin, f
end] in electromagnetic response curve, wherein, the transverse axis of the electromagnetic response curve under this frequency range represents frequency, and the longitudinal axis represents electromagnetic response parameter, such as, specific inductive capacity or magnetic permeability, but be also not limited only to above-mentioned parameter.
S2: final electromagnetic response curve is obtained to the smoothing process of initial electromagnetic response curve;
In step s 2, to the smoothing process of initial electromagnetic response curve obtained in step 1, ensure that the data in electromagnetic response curve have physical significance, after this process, obtain final electromagnetic response curve.Cellular construction generally for disresonance structure can smoothing process and ensure that data have physical significance.
S3: the final electromagnetic response curve obtained in step S2 is divided into M section, this M section be respectively first paragraph curve, second segment curve ..., M section curve, wherein M be more than or equal to 2 natural number;
Segmentation adopts average mark usually, but also can be set up different rules to divide according to different electromagnetic response curves.The hop count M divided, rule of thumb presets, to ensure to reach good effect.Such as, as shown in Figure 2, by a default frequency band [f
begin, f
end] be evenly divided into 7 sections, every band frequency scope be followed successively by L1, L2 ..., L7; Final electromagnetic response curved portion on every band frequency be followed successively by first paragraph curve, second segment curve ..., the 7th section of curve.
S4: be the selected sub-parameter model D of i-th section of curve
i, i is the natural number being less than or equal to M, is first paragraph curve and selectes subparameter model D
1, second segment curve selectes subparameter model D
2..., M section curve selectes subparameter model D
m; Then whole final electromagnetic response curve parameter model D=[D
1, D
2..., D
m] represent.
Innovative point of the present invention is, in step s 4 which, for the first paragraph curve divided in step S3 is to a M section curve selected sub-parameter model respectively.Each subparameter model D
iidentical model can be selected, also can select different models according to respective curvilinear characteristic.Each subparameter model take frequency as the function of independent variable, has the parameter of some, decide parameter and just can determine the function of electromagnetic response parameter about frequency.Therefore, each subparameter model D
ia parameter vector θ will be had
i, then all subparameter model D
ithe final electromagnetic response function jointly represented can use parameter model D=[D
1, D
2..., D
m] and, parameter model vector θ=[θ
1, θ
2..., θ
m] represent.
Such as, subparameter model D
iall select the cubic function about frequency, then total parameter model is cubic spline parameter model, and as shown in Figure 2, for cubic spline parameter model, wherein f represents frequency, and θ represents parameter model, has:
For this model, can obtain, parameter model θ is (a
1, b
1, c
1, d
1..., a
m, b
m, c
m, d
m).
Parameter model in the present invention can be determined according to different electromagnetic response curves, can be cubic spline parameter model, but also be not limited only to above-mentioned parameter model.
S5: realize selected parameter model to the optimal fitting of electromagnetic response curve.
Figure 2 shows that example, after optimal estimation is carried out to parameter model, then there is relevant parameter model θ
optimal=(a
1, optimal, b
1, optimal, c
1, optimal, d
1, optimal..., a
7, optimal, b
7, optimal, c
7, optimal, d
7, optimal).Corresponding electromagnetic response curvilinear equation is:
Innovative point of the present invention is, by data θ
optimal, f
begin, f
endand the record of selected parameter model just can obtain the complete information of this electromagnetic response curve.Suppose in this electromagnetic response function, the CST emulated data testing site number of every section is N, point hop count be M, namely need to store this electromagnetic response complete information, need O(NM) space complexity; In the present embodiment, then only need the space complexity of CM, wherein, C=4, M=7.Space complexity is from O(NM) be down to O(M) thus reach the Information Compression that data are stored.
The invention still further relates to a kind of metamaterial modular construction Electromagnetic Simulation data compression device, comprise with lower module:
Obtain response curve module: for completing steps S1, namely for obtaining electromagnetic frequency from f
beginto f
endthe initial electromagnetic response curve of metamaterial modular construction;
Innovative point of the present invention is, in acquisition response curve module, uses CST emulation or other method to carry out the emulation of electromagnetic response curve, obtains the frequency range [f preset
begin, f
end] in electromagnetic response curve, wherein, the electromagnetic response curve transverse axis under this frequency range represents frequency, and the longitudinal axis is electromagnetic response parameter, such as, specific inductive capacity, magnetic permeability, but be also not limited only to above-mentioned parameter.
Response curve processing module: for completing steps S2, namely obtains final electromagnetic response curve to the smoothing process of initial electromagnetic response curve, ensures that it has physical significance;
Response curve divide module: for completing steps S3, be divided into M section by final electromagnetic response curve, be followed successively by first paragraph curve to M section curve, wherein M be more than or equal to 2 natural number;
Parameter model chosen module: for completing steps S4, is namely respectively the selected sub-parameter model D of i-th section of curve
i, i is the natural number being less than or equal to M, then whole final electromagnetic response curve parameter model D=[D
1, D
2..., D
m] represent;
Innovative point of the present invention is, in parameter model chosen module, M parameter model is all cubic spline parameter model.
Response curve fitting module: for completing steps S5, for the parameter model D that realizes selecting to the optimal fitting of electromagnetic response curve.
The present invention is directed to the deficiencies in the prior art: market lacks the storage standards that the standardized structural of cellular construction electromagnetic property is designed, provide a kind of effective metamaterial modular construction Electromagnetic Simulation data compression method and device, this invention will have front facilitation to the extensive the Automation Design of artificial electromagnetic material and commercial application, have application value.
In the above-described embodiments, only to invention has been exemplary description, but those skilled in the art can carry out various amendment to the present invention without departing from the spirit and scope of the present invention after reading present patent application.
Claims (4)
1. a metamaterial modular construction Electromagnetic Simulation data compression method, is characterized in that, said method comprising the steps of:
S1: use CST emulation, obtains electromagnetic frequency from f
beginto f
endthe initial electromagnetic response curve of cellular construction, described electromagnetic response curve transverse axis represents frequency, and the longitudinal axis represents electromagnetic response parameter;
S2: final electromagnetic response curve is obtained to the smoothing process of described initial electromagnetic response curve;
S3: described final electromagnetic response curve is equally divided into M section, is followed successively by first paragraph curve to M section curve, wherein M be more than or equal to 2 natural number;
S4: be respectively the selected cubic function subparameter model D of i-th section of curve
i, i is the natural number being less than or equal to M, then whole final electromagnetic response curve cubic spline parameter model D=[D
1, D
2..., D
m] represent;
S5: realize the optimal fitting of cubic spline parameter model D to described electromagnetic response curve.
2. metamaterial modular construction Electromagnetic Simulation data compression method according to claim 1, is characterized in that, described electromagnetic response parameter is specific inductive capacity or magnetic permeability.
3. a metamaterial modular construction Electromagnetic Simulation data compression device, for realizing method described in claim 1, is characterized in that, described device comprises:
Obtaining response curve module: for using CST to emulate, obtaining electromagnetic frequency from f
beginto f
endthe initial electromagnetic response curve of cellular construction, described electromagnetic response curve transverse axis represents frequency, and the longitudinal axis represents electromagnetic response parameter;
Response curve processing module: for obtaining final electromagnetic response curve to the smoothing process of described initial electromagnetic response curve;
Response curve divide module: for described final electromagnetic response curve is equally divided into M section, be followed successively by first paragraph curve to M section curve, wherein M be more than or equal to 2 natural number;
Parameter model chosen module: for being respectively the selected cubic function subparameter model D of i-th section of curve
i, i is the natural number being less than or equal to M, then whole final electromagnetic response curve cubic spline parameter model D=[D
1, D
2..., D
m] represent;
Response curve fitting module: for the cubic spline parameter model D that realizes selecting to the optimal fitting of described electromagnetic response curve.
4. metamaterial modular construction Electromagnetic Simulation data compression device according to claim 3, is characterized in that, described electromagnetic response parameter is specific inductive capacity or magnetic permeability.
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人工合成超材料参数提取方法的改进;杨晖等;《上海交通大学学报》;20090328;第43卷(第3期);全文 * |
裴志斌等.自由空间法测试超材料的电磁参数.《空军工程大学学报》.2008,第9卷(第5期), * |
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