CN103136398A - Method and device for obtaining electromagnetic response characteristic parameters - Google Patents

Abstract

The invention discloses a method and a device for obtaining electromagnetic response characteristic parameters. The method comprises a first step of establishing a partition model for describing corresponding relations between electromagnetic material unit structure geometric parameters and electromagnetic response curve character parameters, and a second step of determining the electromagnetic response curve characteristic parameters corresponding to the geometric parameters of an electromagnetic material unit structure to be measured according to the established partition model. By means of the method, when the size of the structural unit to be measured is determined, the electromagnetic response characteristic parameters corresponding to the unit structure under the size can be immediately obtained, a user does not need to take time to carry out electromagnetic material unit structure property measurement, an automation and standardized design procedure of artificial electromagnetic materials is conveniently achieved, and a guarantee is provided for large-scale design and industrialization application.

Description

A kind of method and device thereof that obtains electromagnetic response curvilinear characteristic parameter

Technical field

The present invention relates to super Material Field, particularly relate to a kind of method and device thereof that obtains the electromagnetic response curvilinear characteristic parameter of artificial electromagnetic material cellular construction.

Background technology

Standardization, the Automation Design scheme for artificial electromagnetic material are present difficult problems of needing solution badly in the world.And be an important step indispensable in the artificial electromagnetic material design process for the electromagnetic property measurement of artificial electromagnetic material structural unit.

At present the research of artificial electromagnetic material and design are still rested on the stage of manual adjustment and design by rule of thumb, lack standardized design cycle, can't design on a large scale and commercial application.

Therefore, be necessary to provide a kind of method and device thereof that obtains the electromagnetic response curvilinear characteristic parameter of artificial electromagnetic material cellular construction, effectively solve the problem of above-mentioned existence.

Summary of the invention

The technical matters that the present invention mainly solves is to provide a kind of method and device thereof that obtains the electromagnetic response curvilinear characteristic parameter of artificial electromagnetic material cellular construction, can make the research of artificial electromagnetic material be in standardized design cycle, conveniently to design on a large scale and commercial application.

For solving the problems of the technologies described above, the technical scheme that the present invention adopts is: a kind of method that obtains the electromagnetic response curvilinear characteristic parameter of artificial electromagnetic material cellular construction is provided, comprises: set up the partitioning model that is used for describing corresponding relation between described electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter; According to the partitioning model of described foundation, determine the corresponding electromagnetic response curvilinear characteristic of electromagnetic material cellular construction geometric parameter to be measured parameter.

Wherein, the step of the described definite corresponding electromagnetic response curvilinear characteristic of electromagnetic material cellular construction geometric parameter to be measured parameter comprises: determine the corresponding electromagnetic response curvilinear characteristic of electromagnetic material cellular construction geometric parameter to be measured parameter by the method for interpolation.

Wherein, described foundation comprises for the step of describing the partitioning model of corresponding relation between described electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter: adopt Bayes's partitioning model to set up the partitioning model that is used for describing the corresponding relation between described electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter.

Wherein, the step of described Bayes's partitioning model foundation comprises:

(1) the set T=(t of given described electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter sample space χ and M point ₁, t ₂... t _M), t _i∈ χ, i ∈ 1,2 ..., M}, dividing described space χ becomes M nonoverlapping regional R ₁, R ₂..., R _MAs follows:

R _i=x ∈ χ: || x-t _i||≤|| x-t _j|| to all i ≠ j}

Wherein ${\left|\right|x_1,x_2,...,x_p\left|\right|}^2={\mathrm{\Σ}}_1^p{\mathrm{\ω}}_i^2{x}_i^2,{\mathrm{\Σ}}_i{\mathrm{\ω}}_i^2=1;$

(2) number goes out described regional R _iIn each class observe event number and be respectively n _i1, n _i2..., n _iK, the complete likelihood of described space χ is:

φ=(φ wherein ₁..., φ _M), φ _i=(φ _i1..., φ _ik) be described regional R _iIn each the classification probability, n _i=∑ _kn _ik, ∑ _kφ _ik=1;

(3) determine priori, the probability distribution of described priori is that Dirichlet distributes.It is conjugate prior that Dirichlet distributes, d-dimension Dirichlet distribution Di _d(x ₁..., x _d) density function be:

$f(x_1,...,x_d)=\frac{\mathrm{\Γ}\left({\mathrm{\Σ}}_1^{d+1}{\mathrm{\α}}_i\right)}{{\mathrm{\Π}}_1^{d+1}\mathrm{\Γ}\left({\mathrm{\α}}_i\right)}\left\{\underset{1}{\overset{d}{\mathrm{\Π}}}{x}_i^{{\mathrm{\α}}_i-1}\right\}{(1-\underset{1}{\overset{d}{\mathrm{\Σ}}}{x}_i)}^{{\mathrm{\α}}_{d+1}-1}$

0≤x wherein ₁..., x _d≤ 1,

Γ (.) expression Gama function uses even priori to determine in each class in each zone of described model partition, supposes the φ of zones of different _iBe different, make α _i=1, the priori on φ is as follows:

$p\left(\mathrm{\φ}\right|M)=\underset{i=1}{\overset{M}{\mathrm{\Π}}}{\mathrm{Di}}_{k-1}({\mathrm{\φ}}_{i1},...,{\mathrm{\φ}}_{i,k-1}|1)$

P (T|M) and p (M) are appointed as even priori, the priori of M be 1 ..., the even distribution of n}, n is total number of data points, the priori of ω is tieed up the unit hypercube with P-and is evenly portrayed;

(4) adopt described priori that posteriority is analyzed, use the conjugate prior of φ to require described parameter in the analytical integration zone: φ, T, ω, M, and satisfy:

Model parameter θ=and T, ω, M},

At regional R _iThe predicted density of mid point is:

$p(y=K|x\∈R_i,T,\mathrm{\ω},M)=\frac{n_{\mathrm{ik}}+1}{n_i+K},$ K=1 wherein ..., K

For solving the problems of the technologies described above, another technical solution used in the present invention is: a kind of device that obtains the electromagnetic response curvilinear characteristic parameter of artificial electromagnetic material cellular construction is provided, comprise: model building module is used for setting up the partitioning model that is used for describing corresponding relation between described electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter; The parameter determination module is used for the partitioning model according to described foundation, determines the corresponding electromagnetic response curvilinear characteristic of electromagnetic material cellular construction geometric parameter to be measured parameter.

Wherein, described parameter determination module specifically is used for determining the corresponding electromagnetic response curvilinear characteristic of electromagnetic material cellular construction geometric parameter to be measured parameter by the method for interpolation.

Wherein, described model building module specifically is used for adopting Bayes's partitioning model to set up the partitioning model that is used for describing the corresponding relation between described electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter.

The invention has the beneficial effects as follows: the situation that is different from prior art, the present invention sets up the partitioning model between electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter, according to described model, known certain electromagnetic material cellular construction geometric parameter, can obtain corresponding electromagnetic response curvilinear characteristic parameter, this corresponding relation has been arranged, need not spended time and carry out electromagnetic material cellular construction feature measurement, can realize easily artificial electromagnetic material robotization, standardized design cycle, provide guarantee for carrying out extensive design and commercial application.

Description of drawings

Fig. 1 is the process flow diagram of method one embodiment of the present invention's electromagnetic response curvilinear characteristic parameter of obtaining the artificial electromagnetic material cellular construction;

Fig. 2 is that the data space of two predictive variables in Bayes's partitioning model of the present invention is divided schematic diagram;

Fig. 3 is the schematic diagram of device one embodiment of the present invention's electromagnetic response curvilinear characteristic parameter of obtaining the artificial electromagnetic material cellular construction.

Embodiment

The present invention is described in detail below in conjunction with drawings and Examples.

Fig. 1 is the process flow diagram of method one embodiment of the present invention's electromagnetic response curvilinear characteristic parameter of obtaining the artificial electromagnetic material cellular construction, and as shown in Figure 1, described method comprises the steps:

Step 101: set up the partitioning model that is used for describing corresponding relation between described electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter;

In a preferred embodiment, described foundation comprises for the step of describing the partitioning model of corresponding relation between described electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter: adopt Bayes's partitioning model to set up the partitioning model that is used for describing the corresponding relation between described electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter.

Bayes's partitioning model is as a kind of probabilistic causal reasoning model, its range of application is very wide, with regard to using method, Bayesian model is mainly used in probability inference and decision-making, specifically, infer the not stochastic variable of observable by observing stochastic variable exactly in the incomplete situation of information, and the observable stochastic variable can be more than one, the general initial stage can not be set to random value by observation variable, then carry out probability inference.Its basic thought is: known conditions probability density parameter expression and prior probability; Utilize Bayesian formula to convert posterior probability to; Carry out Decision Classfication according to the posterior probability size.

Wherein, the step of described Bayes's partitioning model foundation comprises:

(1) the set T=(t of given described electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter sample space χ and M point ₁, t ₂... t _M), t _i∈ χ, i ∈ 1,2 ..., M}, dividing described space χ becomes M nonoverlapping regional R ₁, R ₂..., R _MAs follows:

R _i=x ∈ χ: || x-t _i||≤|| x-t _j|| to all i ≠ j}

Wherein ${\left|\right|x_1,x_2,...,x_p\left|\right|}^2={\mathrm{\Σ}}_1^p{\mathrm{\ω}}_i^2{x}_i^2,{\mathrm{\Σ}}_i{\mathrm{\ω}}_i^2=1;$

(2) number goes out described regional R _iIn each class observe event number and be respectively n _i1, n _i2..., n _iK, the complete likelihood of described space χ is:

φ=(φ wherein ₁..., φ _M), φ _i=(φ _i1..., φ _ik) be described regional R _iIn each the classification probability, n _i=∑ _kn _ik, ∑ _kφ _ik=1; As Fig. 2, be the data space division figure of two predictive variables;

(3) determine priori, the probability distribution of described priori is that Dirichlet distributes, and it is conjugate prior that Dirichlet distributes, d-dimension Dirichlet distribution Di _d(x ₁..., x _d) density function be:

$f(x_1,...,x_d)=\frac{\mathrm{\Γ}\left({\mathrm{\Σ}}_1^{d+1}{\mathrm{\α}}_i\right)}{{\mathrm{\Π}}_1^{d+1}\mathrm{\Γ}\left({\mathrm{\α}}_i\right)}\left\{\underset{1}{\overset{d}{\mathrm{\Π}}}{x}_i^{{\mathrm{\α}}_i-1}\right\}{(1-\underset{1}{\overset{d}{\mathrm{\Σ}}}{x}_i)}^{{\mathrm{\α}}_{d+1}-1}$

0≤x wherein ₁..., x _d≤ 1,

Γ (.) expression Gama function uses even priori to determine in each class in each zone of described model partition, supposes the φ of zones of different _iBe different, make α _i=1, the priori on φ is as follows:

$p\left(\mathrm{\φ}\right|M)=\underset{i=1}{\overset{M}{\mathrm{\Π}}}{\mathrm{Di}}_{k-1}({\mathrm{\φ}}_{i1},...,{\mathrm{\φ}}_{i,k-1}|1)$

P (T|M) and p (M) are appointed as even priori, the priori of M be 1 ..., the even distribution of n}, n is total number of data points, the priori of ω is tieed up the unit hypercube with P-and is evenly portrayed;

(4) adopt described priori that posteriority is analyzed, use the conjugate prior of φ to require described parameter in the analytical integration zone: φ, T, ω, M, and satisfy:

Model parameter θ=and T, ω, M},

At regional R _iThe predicted density of mid point is:

$p(y=k|x\∈R_i,T,\mathrm{\ω},M)=\frac{n_{\mathrm{ik}}+1}{n_i+K},$ K=1 wherein ..., K

Likelihood function is a kind of function about the parameter in statistical model, and the likelihood in the expression model parameter is established overall X and obeyed distribution P (x; θ) (being probability density when X is random variable of continuous type, is probability distribution when X is discrete random variable), θ is solve for parameter, X1, X2 ... Xn is the sample that comes from overall X, x1, x2 ... xn is sample X1, X2, the observed value of Xn, the joint distribution of sample (being probability density when X is random variable of continuous type, is probability distribution when X is discrete random variable) L (θ)=L (x1, x2,, xn; θ)=∏ P (xi; θ) be called likelihood function.Priori is truely to describe a variable in the situation that lack certain; And posteriority is the conditional probability after having considered a fact.Posteriority can pass through Bayesian formula, calculates with priori and likelihood function.

Step 102: according to the partitioning model of described foundation, determine the corresponding electromagnetic response curvilinear characteristic of electromagnetic material cellular construction geometric parameter to be measured parameter.

In a preferred embodiment, the step of the described definite corresponding electromagnetic response curvilinear characteristic of electromagnetic material cellular construction geometric parameter to be measured parameter comprises: determine the corresponding electromagnetic response curvilinear characteristic of electromagnetic material cellular construction geometric parameter to be measured parameter by the method for interpolation.So-called interpolation method, it is a kind of important method of approximation of function, claim again " interpolation method ", utilize the functional value of function f (x) some points in certain interval, make suitable specific function, get given value on these aspects, on other aspects in interval with the value of this specific function approximate value as function f (x).Interpolation, can adopt Lagrange's interpolation, Newton interpolation, Hermite interpolation or piecewise polynomial interpolation etc. herein.

Be different from the situation of prior art, the present invention sets up the partitioning model between electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter, according to described model, known certain electromagnetic material cellular construction geometric parameter, can obtain corresponding electromagnetic response curvilinear characteristic parameter, this corresponding relation has been arranged, need not spended time and carry out electromagnetic material cellular construction feature measurement, can realize easily artificial electromagnetic material robotization, standardized design cycle, provide guarantee for carrying out extensive design and commercial application.

Fig. 3 is the structural representation of device one embodiment of the present invention's electromagnetic response curvilinear characteristic parameter of obtaining the artificial electromagnetic material cellular construction.As shown in Figure 3, described device comprises: model building module 301 and parameter determination module 302.

Model building module 301 is used for setting up the partitioning model that is used for describing corresponding relation between described electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter.

In a preferred embodiment, described model building module specifically is used for adopting Bayes's partitioning model to set up the partitioning model that is used for describing the corresponding relation between described electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter.Bayes's partitioning model is as a kind of probabilistic causal reasoning model, its range of application is very wide, with regard to using method, Bayesian model is mainly used in probability inference and decision-making, specifically, infer the not stochastic variable of observable by observing stochastic variable exactly in the incomplete situation of information, and the observable stochastic variable can be more than one, the general initial stage can not be set to random value by observation variable, then carry out probability inference.Its basic thought is: known conditions probability density parameter expression and prior probability; Utilize Bayesian formula to convert posterior probability to; Carry out Decision Classfication according to the posterior probability size.

The partitioning model that parameter determination module 302 is used for according to described foundation is determined the corresponding electromagnetic response curvilinear characteristic of electromagnetic material cellular construction geometric parameter to be measured parameter.

In a preferred embodiment, described parameter determination module specifically is used for determining the corresponding electromagnetic response curvilinear characteristic of electromagnetic material cellular construction geometric parameter to be measured parameter by the method for interpolation.So-called interpolation method, it is a kind of important method of approximation of function, claim again " interpolation method ", utilize the functional value of function f (x) some points in certain interval, make suitable specific function, get given value on these aspects, on other aspects in interval with the value of this specific function approximate value as function f (x).Interpolation, can adopt Lagrange's interpolation, Newton interpolation, Hermite interpolation or piecewise polynomial interpolation etc. herein.

Be different from the situation of prior art, the present invention sets up the partitioning model between electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter, according to described model, known certain electromagnetic material cellular construction geometric parameter, can obtain corresponding electromagnetic response curvilinear characteristic parameter, this corresponding relation has been arranged, need not spended time and carry out electromagnetic material cellular construction feature measurement, can realize easily artificial electromagnetic material robotization, standardized design cycle, provide guarantee for carrying out extensive design and commercial application.

The above is only embodiments of the invention; not thereby limit the scope of the claims of the present invention; every equivalent structure or equivalent flow process conversion that utilizes instructions of the present invention and accompanying drawing content to do; or directly or indirectly be used in other relevant technical fields, all in like manner be included in scope of patent protection of the present invention.

Claims (7)

1. a method that obtains the electromagnetic response curvilinear characteristic parameter of artificial electromagnetic material cellular construction, is characterized in that, comprising:

Set up the partitioning model that is used for describing corresponding relation between described electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter;

According to the partitioning model of described foundation, determine the corresponding electromagnetic response curvilinear characteristic of electromagnetic material cellular construction geometric parameter to be measured parameter.

2. method according to claim 1, is characterized in that,

The step of the described definite corresponding electromagnetic response curvilinear characteristic of electromagnetic material cellular construction geometric parameter to be measured parameter comprises: determine the corresponding electromagnetic response curvilinear characteristic of electromagnetic material cellular construction geometric parameter to be measured parameter by the method for interpolation.

3. method according to claim 1, is characterized in that,

Described foundation comprises for the step of describing the partitioning model of corresponding relation between described electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter: adopt Bayes's partitioning model to set up the partitioning model that is used for describing the corresponding relation between described electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter.

4. method according to claim 3, is characterized in that,

The step that described Bayes's partitioning model is set up comprises:

(1) the set T=(t of given described electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter sample space χ and M point ₁, t ₂... t _M), t _i∈ χ, i ∈ 1,2 ..., M}, dividing described space χ becomes M nonoverlapping regional R ₁, R ₂..., R _MAs follows:

R _i=x ∈ χ: || x-t _i||≤|| x-t _j|| to all i ≠ j}

Wherein

(2) number goes out described regional R _iIn each class observe event number and be respectively n _i1, n _i2..., n _iK, the complete likelihood of described space χ is:

φ=(φ wherein ₁..., φ _M), φ _i=(φ _i1..., φ _ik) be described regional R _iIn each the classification probability, n _i=∑ _kn _ik, ∑ _kφ _ik=1;

(3) determine priori, the probability distribution of described priori is that Dirichlet distributes, and it is conjugate prior that Dirichlet distributes, d-dimension Dirichlet distribution Di _d(x ₁..., x _d) density function be:

0≤x wherein ₁..., x _d≤ 1,

Γ (.) expression Gama function uses even priori to determine in each class in each zone of described model partition, supposes the φ of zones of different _iBe different, make α _i=1, the priori on φ is as follows:

P (T|M) and p (M) are appointed as even priori, the priori of M be 1 ..., the even distribution of n}, n is total described electromagnetic material cellular construction geometric parameter and the number of data points of electromagnetic response curvilinear characteristic parameter, and the priori of ω is tieed up the unit hypercube with P-and evenly portrayed;

(4) adopt described priori that posteriority is analyzed, use the conjugate prior of φ to require described parameter in the analytical integration zone: φ, T, ω, M, and satisfy:

Model parameter θ={ T, ω, M};

At regional R _iThe predicted density of mid point is:

K=1 wherein ..., K.

5. a device that obtains the electromagnetic response curvilinear characteristic parameter of artificial electromagnetic material cellular construction, is characterized in that, comprising:

Model building module is used for setting up the partitioning model that is used for describing corresponding relation between described electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter;

The parameter determination module is used for the partitioning model according to described foundation, determines the corresponding electromagnetic response curvilinear characteristic of electromagnetic material cellular construction geometric parameter to be measured parameter.

6. device according to claim 5, is characterized in that,

Described parameter determination module specifically is used for determining the corresponding electromagnetic response curvilinear characteristic of electromagnetic material cellular construction geometric parameter to be measured parameter by the method for interpolation.

7. device according to claim 5, is characterized in that,

Described model building module specifically is used for adopting Bayes's partitioning model to set up the partitioning model that is used for describing the corresponding relation between described electromagnetic material cellular construction geometric parameter and electromagnetic response curvilinear characteristic parameter.

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