CN103093010B - The method for designing of metamaterial modular construction body and design system - Google Patents
The method for designing of metamaterial modular construction body and design system Download PDFInfo
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- CN103093010B CN103093010B CN201110338263.XA CN201110338263A CN103093010B CN 103093010 B CN103093010 B CN 103093010B CN 201110338263 A CN201110338263 A CN 201110338263A CN 103093010 B CN103093010 B CN 103093010B
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Abstract
The invention discloses a kind of metamaterial modular construction body method for designing.The method comprises transfer step, selects step and comparison step, and by above step, the present invention can carry out convergence to multiple property parameters of metamaterial modular construction body and select, and finally obtains the metamaterial modular construction body close to target electromagnetic response characteristic.This method for designing is quick, convenient, reduces metamaterial modular construction body design and realizes difficulty, improve design efficiency, be conducive to Meta Materials commercial application.The invention also discloses a kind of metamaterial modular construction body design system.
Description
Technical field
The present invention relates to Meta Materials design field, particularly relate to method for designing and the design system of metamaterial modular construction body.
Background technology
Meta Materials is a kind of artificial electromagnetic material, is generally specific electromagnetism or sonar response characteristic that method by designing and process metamaterial modular construction body realizes different Meta Materials.Therefore, the design of metamaterial modular construction body has vital role in Meta Materials design, has the Meta Materials device of specific functionality often through Modeling and Design thousands of mutually different metamaterial modular construction body according to rational arrangement composition one.
A kind of metamaterial modular construction body may comprise multiple property parameters, the property parameters such as such as length and width, thickness, specific inductive capacity, Material texture, therefore the electromagnetic response parameter of this metamaterial modular construction body is multidimensional equally, often change one of them property parameters, all will affect the electromagnetic response characteristic of metamaterial modular construction body.
Traditional metamaterial modular construction body method for designing is, by the property parameters manually changing metamaterial modular construction body one by one, test the response characteristic of electromagnetic signal by this structure of a certain frequency, and contrast with target electromagnetic response characteristic, so constantly circulation, finally finds the cellular construction body property parameters the most close with target electromagnetic response characteristic.
Such as, in the traditional metamaterial modular construction body design cycle shown in Fig. 1, changed the parameter of metamaterial modular construction body by artificial adjustment in S11 step, as the property parameters such as length, width, fine setting unit may reach grade, even micron order, nanoscale, therefore labor workload is quite large.If consider that adjustment changes the property parameters such as specific inductive capacity, Material texture of cellular construction body, then further increase the workload of design metamaterial modular construction body again.
In addition, in metamaterial modular construction body design cycle, the adjustment of the property parameters of metamaterial modular construction body is changed, constantly should restrain close towards the direction of design object, particularly when the property parameters of metamaterial modular construction body is more, the adjustment of metamaterial modular construction body parameter change will be made to have blindness if do not carry out this process, equally also can bring the increase of workload.
Summary of the invention
The technical matters that the present invention mainly solves is to provide a kind of method for designing and design system of metamaterial modular construction body, for the multiple property parameters of metamaterial modular construction body, can restrain adjustment rapidly, the electromagnetic response characteristic that the metamaterial modular construction body corresponding to property parameters finally determined is had is identical with design object electromagnetic response characteristic or the most close.
For solving the problems of the technologies described above, the method for designing embodiment of a kind of metamaterial modular construction body provided by the invention, its technical scheme comprises:
Transfer step, shifts by the first parameter set of this metamaterial modular construction body the second parameter set that conversion obtains this metamaterial modular construction body;
Select step, convergence is done to the first parameter set of this metamaterial modular construction body and the second parameter set of this metamaterial modular construction body and selects, obtain the 3rd parameter set of this metamaterial modular construction body;
Comparison step, contrast by the electromagnetic response characteristic of this metamaterial modular construction body corresponding to the 3rd parameter set and target electromagnetic response characteristic, if identical with target electromagnetic response characteristic or closest by the electromagnetic response characteristic of this metamaterial modular construction body corresponding to the 3rd parameter set, this metamaterial modular construction body that then the 3rd parameter set is corresponding is the metamaterial modular construction body meeting designing requirement, otherwise the 3rd parameter set is turned back in this transfer step as the first new parameter set of this metamaterial modular construction body, and repeat above steps.
In a preferred embodiment, in this transfer step, the first parameter set being realized this metamaterial modular construction body by the probability transfer function of symmetry is converted to the transfer of the second parameter set of this metamaterial modular construction body.
In a preferred embodiment, carry out restraining the method selected in this selection step and be: first, from being uniformly distributed U ~ Uniform [0, 1] in, sampling obtains a sample value, then by the electromagnetic response characteristic of metamaterial modular construction body corresponding to this second parameter set electromagnetic response characteristic divided by metamaterial modular construction body corresponding to this first parameter set, obtain a ratio, if this ratio is more than or equal to this sample value, this second parameter set is then selected to be the 3rd parameter set, otherwise, if this ratio is less than this sample value, this first parameter set is then selected to be the 3rd parameter set.
In a preferred embodiment, the electromagnetic response characteristic of the described metamaterial modular construction body that described 3rd parameter set is corresponding is identical with target electromagnetic response characteristic or closest to by setting self-defining function and threshold values is determined, if functional value is less than threshold value, namely think identical or closest.
The present invention also provides a kind of metamaterial modular construction body design system, and this design system comprises:
Buanch unit, for the transfer conversion of the second parameter set of the first parameter set to this metamaterial modular construction body that complete this metamaterial modular construction body;
Selection unit, does convergence for the first parameter set of this metamaterial modular construction body of exporting this buanch unit and the second parameter set of this metamaterial modular construction body and selects, obtain the 3rd parameter set of this metamaterial modular construction body;
Comparing unit, for the electromagnetic response characteristic of this metamaterial modular construction body corresponding to the 3rd parameter set that this selection unit is exported, compare with target electromagnetic response characteristic, if the electromagnetic response characteristic of this metamaterial modular construction body that the 3rd parameter set is corresponding is identical or closest with this target electromagnetic response characteristic, this metamaterial modular construction body that then the 3rd parameter set is corresponding is the metamaterial modular construction body meeting designing requirement, otherwise, 3rd parameter set is turned back in this buanch unit as the first new parameter set of this metamaterial modular construction body, and computing is repeated in above-mentioned each unit.
In a preferred embodiment, in this buanch unit, the first parameter set of this metamaterial modular construction body is realized by the probability transfer function of symmetry to the transfer conversion process of the second parameter set of this metamaterial modular construction body.
In a preferred embodiment, in this selection unit, carry out restraining the method selected to this first parameter set and this second parameter set and be: first, from being uniformly distributed U ~ Uniform [0, 1] in, sampling obtains a sample value, then by the electromagnetic response characteristic of metamaterial modular construction body corresponding to this second parameter set electromagnetic response characteristic divided by metamaterial modular construction body corresponding to this first parameter set, obtain a ratio, if this ratio is more than or equal to this sample value, this second parameter set is then selected to be the 3rd parameter set, otherwise, if this ratio is less than this sample value, this first parameter set is then selected to be the 3rd parameter set.
The invention has the beneficial effects as follows: provide one fast, metamaterial modular construction body method for designing and design system easily, reduce metamaterial modular construction body design and realize difficulty, improve design efficiency, be conducive to Meta Materials commercial application.
Accompanying drawing explanation
Fig. 1 is the design cycle schematic diagram of an embodiment of metamaterial modular construction body method for designing of the prior art;
Fig. 2 is the design cycle schematic diagram of an embodiment according to metamaterial modular construction body method for designing of the present invention; With
Fig. 3 is the module diagram of metamaterial modular construction body design system embodiment of the present invention.
Embodiment
Fig. 1 is an embodiment design cycle schematic diagram of metamaterial modular construction body method for designing of the prior art.Wherein, in S11 step, the parameter of metamaterial modular construction body is adjusted, adjustment both can be change a parameter of metamaterial modular construction body, and also can be change multiple parameters of metamaterial modular construction body, this adjustment change be by manually rule of thumb carrying out.S12 step calculates the metamaterial modular construction body through parameter adjustment from S11 step, obtain its electromagnetic response characteristic, then compare with design object electromagnetic response characteristic in S13 step, in S14 step, the comparative result in S13 step is selected, if close to target electromagnetic response characteristic, in S15 step, terminate design process, otherwise turn back in S11 step, readjust the parameter of metamaterial modular construction body, again compare selection, until close to target electromagnetic response characteristic.In this embodiment, can not ensure parameter that each adjustment changes the cellular construction body obtained all be better than before the adjustment change carried out.
Because the electromagnetic response characteristic of metamaterial modular construction body is determined by multiple property parameters, for ease of explanation, here multiple for metamaterial modular construction body property parameters is gathered together, be referred to as the parameter set of metamaterial modular construction body, such as metamaterial modular construction body parameter set is the set of the property parameters such as its length, width, thickness, specific inductive capacity, Material texture.Metamaterial modular construction body parameter set is represented here, definition X=(x with X
1, x
2..., xn), wherein x
1, x
2..., xn represents n property parameters of metamaterial modular construction body, and each property parameters can get different parameter values, in order to distinguish the parameter set that these get different parameters value, can with the first parameter set, the second parameter set, the 3rd parameter set ... carry out differentiation and represent.In addition, because the electromagnetic response characteristic of metamaterial modular construction body is determined by its parameter set, therefore can using the function of the electromagnetic response characteristic of metamaterial modular construction body as metamaterial modular construction body parameter set, the electromagnetic response characteristic that definition G (X) is metamaterial modular construction body.
Fig. 2 is a preferred embodiment design cycle schematic diagram of metamaterial modular construction body method for designing of the present invention.This method for designing mainly comprises transfer step S21, selects step S22 and comparison step S23.
In transfer step S21, first obtain the first parameter set X1 of metamaterial modular construction body, X1=(x
11, x
12..., x
1n), wherein x
11, x
12..., x
1nrepresent each property parameters value in the first parameter set X1, the initial value of these parameter values is estimated values, namely the parameter value rule of thumb obtained, in design process subsequently, the parameter value in the first parameter set X1 is then constantly upgraded by comparison step S23 subsequently.Then, carry out random variation process to each property parameters value in the first parameter set X1, transfer obtains the second parameter set X2 of this metamaterial modular construction body, X2=(x
21, x
22..., x
2n), as a kind of preferred implementation, this to shift by random variation the second parameter set X2 obtained be probability transfer function according to symmetry, namely advise what function T (X1, X2) obtained from X1 transfer, wherein T (X1, X2)=T (X2, X1).
Wherein, the probability density function of suggestion function T (X1, X2) to be one with X2 be variable, sign be the probability density jumping to X2 position from current location X1.Can be regarded as out the probability density value corresponding to any X2 by this function, this value is larger, and the probability that representative jumps to X2 place is larger.
In ensuing selection step S22, convergence is carried out to the first parameter set X1 in above-mentioned transfer step S21 and the second parameter set X2 and selects, and then obtain the 3rd parameter set X3, i.e. X3=X1 or X3=X2.The object that this convergence is selected, that the electromagnetic response characteristic corresponding to parameter set of the metamaterial modular construction body that must design constantly is changed towards the direction close to target electromagnetic response characteristic, like this, by selecting the range of choices of the 3rd parameter set X3 obtained constantly to reduce, to ensure the parameter set of metamaterial modular construction body constantly to carry out convergence change close to design object.As a kind of preferred implementation, carry out restraining the method selected to the first parameter set X1 and the second parameter set X2 and be: first from being uniformly distributed U ~ Uniform [0, 1] in, sampling obtains a sample value U1, then use electromagnetic response characteristic G (X2) that metamaterial modular construction body second parameter set X2 is corresponding divided by electromagnetic response characteristic G (X1) corresponding to metamaterial modular construction body first parameter set X1, i.e. G (X2)/G (X1), again G (X2)/G (X1) and U1 are compared, if U1≤G (X2)/G (X1), then X3=X2, if otherwise U1 > G (X2)/G (X1), then X3=X1.
When after the 3rd parameter set X3 obtaining metamaterial modular construction body, in comparison step S23, the electromagnetic response characteristic that relatively the 3rd parameter set X3 of metamaterial modular construction body is corresponding and target electromagnetic response characteristic, if the electromagnetic response characteristic that the 3rd parameter set X3 is corresponding is the most close or identical with target electromagnetic response characteristic, then using the determined metamaterial modular construction body of the 3rd parameter set X3 as the metamaterial modular construction body finally met design requirement, otherwise the 3rd parameter set X3 of the metamaterial modular construction body selecting step S22 to obtain is turned back to transfer step S21 as the first parameter set X1 that metamaterial modular construction body is new, and repeat above each step.Wherein, the electromagnetic response characteristic corresponding about the 3rd parameter set X3 and the close determination methods of target electromagnetic response characteristic can be undertaken by the method defining evaluation function, and the degree of closeness of characteristic is reflected by evaluation function value, such as evaluation function value shows more greatly more close to designing requirement, like this, through repeatedly select and relatively after, the maximal value in evaluation function value can be obtained, namely parameter set corresponding to this maximal value is the most close to the parameter set of the metamaterial modular construction body of designing requirement, and be exactly the electromagnetic response characteristic the most close with target electromagnetic response characteristic by the electromagnetic response characteristic that this parameter set is corresponding.
In a further advantageous embodiment, the electromagnetic response characteristic of the described metamaterial modular construction body that described 3rd parameter set is corresponding is identical with target electromagnetic response characteristic or closest to by setting self-defining function and threshold values is determined, if functional value is less than threshold value, namely think identical or closest.
More design method mainly utilizes symmetrical suggestion function T (X1, X2) to carry out a reasonably transfer to current state, and then utilize acceptance-refusal rule to come deflated state space, the present embodiment is used for finding optimum cellular construction parameter." receive-refusal rule " and refer to corresponding constraint condition, accept when the reposition jumped to meets these conditions, otherwise refusal.It is extraction one value random uniformly in interval [0,1] that U ~ Uniform [0,1] represents U.The mathematical algorithm that this method for designing specifically adopts is Metropolis algorithm.
Fig. 3 is a preferred embodiment of metamaterial modular construction body design system of the present invention.This design system comprises buanch unit 31, selection unit 32 and comparing unit 33.
Buanch unit 31 is for the transfer conversion of the second parameter set of the first parameter set to metamaterial modular construction body that complete metamaterial modular construction body, the first parameter set that selection unit 32 exports buanch unit 31 and the second parameter set carry out convergence and select, and obtain the 3rd parameter set of metamaterial modular construction body, in comparing unit 33, then its electromagnetic response characteristic is calculated to the 3rd parameter set of the metamaterial modular construction body that selection unit 32 exports, and compare computing with design object electromagnetic response characteristic, if the electromagnetic response characteristic that the 3rd parameter set is corresponding is closest or identical with target electromagnetic response characteristic, then using the metamaterial modular construction body corresponding to the 3rd parameter set as the metamaterial modular construction body finally met design requirement, otherwise being returned as the first parameter set that metamaterial modular construction body is new by the 3rd parameter set is input in buanch unit 31, and repetitive operation is carried out in above-mentioned each unit.
As a kind of preferred implementation, in buanch unit 31, the first parameter set of metamaterial modular construction body is realized by the probability transfer function of symmetry to the transfer conversion process of the second parameter set of metamaterial modular construction body.
A preferred implementation, in this selection unit 32, carry out restraining the method selected to this first parameter set and this second parameter set and be: first, from being uniformly distributed U ~ Uniform [0, 1] in, sampling obtains a sample value, then by the electromagnetic response characteristic of metamaterial modular construction body corresponding to this second parameter set electromagnetic response characteristic divided by metamaterial modular construction body corresponding to this first parameter set, obtain a ratio, if this ratio is more than or equal to this sample value, this second parameter set is then selected to be the 3rd parameter set, otherwise, if this ratio is less than this sample value, this first parameter set is then selected to be the 3rd parameter set.
Hereafter introduce the example of a metamaterial modular construction body method for designing of the present invention again:
The first step: the property parameters Pi that certain cellular construction body is rule of thumb set;
Second step: use a certain frequency f i to test the electromagnetic response characteristic function G ' of this cellular construction body;
3rd step: compare its electromagnetic response function G ' whether close with target electromagnetic response function G;
4th step: adopt Metropolis algorithm adjustment unit structure property parameters Pi, until its electromagnetic response function G ' identical or close with target electromagnetic response function G.
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 metamaterial modular construction body method for designing, described metamaterial modular construction body comprises the first parameter set, it is characterized in that, described method for designing comprises:
Transfer step, by the probability transfer function of symmetry, shifts by the first parameter set of described metamaterial modular construction body the second parameter set that conversion obtains described metamaterial modular construction body;
Select step, convergence is done to the first parameter set of described metamaterial modular construction body and the second parameter set of described metamaterial modular construction body and selects, obtain the 3rd parameter set of described metamaterial modular construction body;
Comparison step, contrast by the electromagnetic response characteristic of described metamaterial modular construction body corresponding to described 3rd parameter set and target electromagnetic response characteristic, if identical with target electromagnetic response characteristic or closest by the electromagnetic response characteristic of described metamaterial modular construction body corresponding to described 3rd parameter set, the described metamaterial modular construction body that then described 3rd parameter set is corresponding is the metamaterial modular construction body meeting designing requirement, otherwise described 3rd parameter set is turned back in described transfer step as the first new parameter set of described metamaterial modular construction body, and repeat above steps,
Described first, second, and third parameter set comprises at least one property parameters in the length of described metamaterial modular construction body, width, thickness, specific inductive capacity, Material texture;
Described identical or closest to by setting self-defining function and threshold values determine, if functional value is less than threshold value, namely think identical or closest.
2. metamaterial modular construction body method for designing according to claim 1, it is characterized in that, in described selection step, the method that described convergence is selected is: first, from being uniformly distributed U ~ Uniform [0, 1] in, sampling obtains a sample value, then by the electromagnetic response characteristic of metamaterial modular construction body corresponding to the described second parameter set electromagnetic response characteristic divided by metamaterial modular construction body corresponding to described first parameter set, obtain a ratio, if described ratio is more than or equal to described sample value, described second parameter set is then selected to be described 3rd parameter set, otherwise, if described ratio is less than described sample value, described first parameter set is then selected to be described 3rd parameter set.
3. a metamaterial modular construction body design system, described metamaterial modular construction body comprises the first parameter set, it is characterized in that, described design system comprises:
Buanch unit, the transfer for the first parameter set to the second parameter set of described metamaterial modular construction body that are completed described metamaterial modular construction body by symmetrical probability transfer function is converted;
Selection unit, does convergence for the first parameter set of described metamaterial modular construction body of exporting described buanch unit and the second parameter set of described metamaterial modular construction body and selects, obtain the 3rd parameter set of described metamaterial modular construction body;
Comparing unit, for the electromagnetic response characteristic of described metamaterial modular construction body corresponding to described 3rd parameter set that described selection unit is exported, compare with target electromagnetic response characteristic, if the electromagnetic response characteristic of the described metamaterial modular construction body that described 3rd parameter set is corresponding is identical or closest with described target electromagnetic response characteristic, the described metamaterial modular construction body that then described 3rd parameter set is corresponding is the metamaterial modular construction body meeting designing requirement, otherwise, described 3rd parameter set is turned back in described buanch unit as the first new parameter set of described metamaterial modular construction body, and computing is repeated in above-mentioned each unit,
Described first, second, and third parameter set comprises at least one property parameters in the length of described metamaterial modular construction body, width, thickness, specific inductive capacity, Material texture;
Described identical or closest to by setting self-defining function and threshold values determine, if functional value is less than threshold value, namely think identical or closest.
4. metamaterial modular construction body design system according to claim 3, it is characterized in that, in described selection unit, the method that described convergence is selected is: first, from being uniformly distributed U ~ Uniform [0, 1] in, sampling obtains a sample value, then by the electromagnetic response characteristic of metamaterial modular construction body corresponding to the described second parameter set electromagnetic response characteristic divided by metamaterial modular construction body corresponding to described first parameter set, obtain a ratio, if described ratio is more than or equal to described sample value, described second parameter set is then selected to be described 3rd parameter set, otherwise, if described ratio is less than described sample value, described first parameter set is then selected to be described 3rd parameter set.
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