CN103136437B - A kind of method and apparatus obtaining Meta Materials index distribution - Google Patents
A kind of method and apparatus obtaining Meta Materials index distribution Download PDFInfo
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- CN103136437B CN103136437B CN201110396375.0A CN201110396375A CN103136437B CN 103136437 B CN103136437 B CN 103136437B CN 201110396375 A CN201110396375 A CN 201110396375A CN 103136437 B CN103136437 B CN 103136437B
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Abstract
The invention discloses a kind of method and apparatus obtaining Meta Materials index distribution.Described method and apparatus includes: adopt emulation mode to make electromagnetic wave pass through Meta Materials；Obtain in order to describe and to weigh the Meta Materials data to electromagnetic response, including electromagnetic wave through the far field data after Meta Materials；Judge that whether the gap between target far field data and the far field data of acquisition is less than first threshold, if not less than described first threshold, adopt the mode regulated based on gradient, change the distribution of described Meta Materials refractive index, and return the acquisition described Meta Materials data to electromagnetic response, it is circulated, until the gap between target far field data and the far field data of acquisition is less than first threshold；Obtain the index distribution of Meta Materials.The present invention is more efficient compared with traditional manual calculating.
Description
Technical field
The present invention relates to Meta Materials technical field, particularly relate to the method and apparatus obtaining Meta Materials index distribution.
Background technology
Meta Materials (metamaterial) is the new material of a height intersection having merged electromagnetism, microwave, Terahertz, photon, the advanced subject such as engineering design, communication.
When research material is to the response of electromagnetic wave such as microwave, in material any yardstick much smaller than the micro structure of electromagnetic wavelength electromagnetic effect can be used material univers parameter DIELECTRIC CONSTANT ε (x, y, z) and magnetic permeability μ (x, y, z) describes.And electromagnetic response is determined by each micro structure as the dielectric constant of tensor and pcrmeability in pervasive situation.If by the design of micro structure in material makes material have required any dielectric constant and pcrmeability distribution, this namely designs the main process of Meta Materials.
Existing technology is the partial differential equation being obtained Meta Materials refractive index by maxwell equation group (MaxwellEquation) and eikonal equation (EikonalEquation), and then numerical solution obtains the distribution of refractive index.Or the method manually constantly tried, designs Meta Materials.The method of this design Meta Materials needs to consume substantial amounts of manpower, and the design efficiency of Meta Materials and degree of accuracy are not high, significantly constrains the development of Meta Materials technology.
Summary of the invention
The technical problem that present invention mainly solves is to provide a kind of method and apparatus obtaining Meta Materials index distribution, it is possible to the acquisition making Meta Materials index distribution is more efficient.
For solving above-mentioned technical problem, the technical scheme that the present invention adopts is: provide a kind of method obtaining Meta Materials index distribution, including:
Emulation mode is adopted to make electromagnetic wave pass through described Meta Materials；
Obtain in order to describe and to weigh the described Meta Materials data to electromagnetic response, including described electromagnetic wave through the far field data after described Meta Materials；
Obtain the gap between target far field data and the described far field data of acquisition；
Judge that whether the gap between described target far field data and the described far field data of acquisition is less than first threshold, if not less than described first threshold, the mode regulated based on gradient is adopted to change the index distribution of described Meta Materials, and return the acquisition described Meta Materials data to electromagnetic response, it is circulated, until the gap between described target far field data and the described far field data of acquisition is less than described first threshold；
The index distribution of Meta Materials when obtaining the gap between described target far field data and the described far field data of acquisition less than described first threshold.
Wherein, described employing includes based on the step of the index distribution that the mode that gradient regulates changes described Meta Materials: adopt simultaneous perturbation stochastic approximation algorithm or Newton method, the evaluation function that the far field data according to electromagnetic wave, described Meta Materials difference responded and obtain obtains, and then change the distribution of described Meta Materials refractive index.
Wherein, the distribution step changing described Meta Materials refractive index includes: by the index distribution of Meta Materials described in the mode matching of n point interpolation, and by change described n point in any one or change index distribution with the interpolation of last point.
Wherein, described employing regulates based on gradient mode and by change n put in any one or change the step of index distribution with the interpolation of last point and include:
Select a point in an initial stepping length and described n point, randomly choose a direction and move a stepping length；
If the gap between described target far field data and the described far field data of acquisition does not become big less than described first threshold and described gap, then select opposite direction that one point is moved a stepping length, obtain the described Meta Materials data to electromagnetic response；If the gap between described target far field data and the far field data of acquisition does not diminish less than described first threshold and described gap, then select described initial stepping length to continue to move a stepping length towards this equidirectional by one point, continue cycling through；Wherein, if the gap after selection opposite direction between described target far field data and the described far field data of acquisition still becomes big, then reduce described stepping length and execution randomly chooses a direction and moves the step of the stepping length reduced and continue cycling through, until the gap between described target far field data and the described far field data of acquisition is less than described first threshold；
Wherein, if the stepping length of described minimizing is less than Second Threshold, gap between described target far field data and the described far field data of acquisition, not yet less than described first threshold, still draws the judgement less than described first threshold of the gap between described target far field data and the described far field data of acquisition；
Described point position change to gap between described target far field data and the far field data of acquisition less than described first threshold after, select the next one point repeat the above steps in described n point, until all n stepping length putting movement are both less than described Second Threshold so that gap between described target far field data and the described far field data of acquisition a little less than described first threshold.
Wherein, acquisition includes in order to describe and to weigh the Meta Materials step to the data of electromagnetic response: utilize the interface of matlab and comsol to extract the data that in comsol, emulation obtains, to obtain in order to describe and to weigh the described Meta Materials data to electromagnetic response.
For solving above-mentioned technical problem, another technical solution used in the present invention is to provide a kind of device obtaining Meta Materials index distribution, including:
Emulation module, adopts emulation mode to make electromagnetic wave pass through described Meta Materials；
Data acquisition module, obtains in order to describe and to weigh the described Meta Materials data to electromagnetic response, including described electromagnetic wave through the far field data after described Meta Materials；
Gap acquisition module, for obtaining the gap between described target far field data and the described far field data of acquisition；
Judge module, whether the gap being used for judging between described target far field data and the described far field data of acquisition is less than described first threshold；
Adjustment module, for when the gap judged between described target far field data and the far field data of acquisition is not less than first threshold, adopting the mode regulated based on gradient, change the distribution of described Meta Materials refractive index；
Loop module, for after the distribution of described adjustment module change Meta Materials refractive index, order about emulation module, gap acquisition module, judge module and adjustment module to work successively, until described judge templet judges that the gap between described target far field data and the described far field data of acquisition is less than described first threshold；
Refractive index acquisition module, during for the gap between described target far field data and the described far field data of acquisition less than described first threshold, obtains the index distribution of described Meta Materials.
Wherein, described judge module, specifically for employing simultaneous perturbation stochastic approximation algorithm or Newton method, the evaluation function that Meta Materials difference is responded by the far field data obtained according to gap acquisition module, changes the distribution of described Meta Materials refractive index.
Wherein, described judge module carrys out the index distribution of Meta Materials described in matching by the mode of n point interpolation, and by changing in described n point any one or changing index distribution with the interpolation of last point.
Wherein, described data acquisition module emulates, specifically for utilizing the interface of matlab and comsol to extract, the data obtained in comsol, to obtain in order to describe and to weigh the described Meta Materials data to electromagnetic response.
The invention has the beneficial effects as follows: be different from the situation of prior art, the present invention utilizes gradient to regulate method and obtains the distribution of refractive index, the far field data according to described acquisition, it is judged that the gap between described target far field data and the far field data of acquisition, by continuous adjustment, obtain the refractive index of Meta Materials.Compared with prior art by employing computer technology, although add calculation times, but improve the efficiency of calculating, also improve the levels of precision of calculating.The acquisition that can make Meta Materials refractive index is more efficient.
Accompanying drawing explanation
Fig. 1 is the method one embodiment flow chart that the present invention obtains Meta Materials index distribution；
Fig. 2 is that the present invention uses interpolation method to obtain the method one embodiment flow chart of Meta Materials index distribution；
Fig. 3 is that the present invention uses gradient to regulate the method one embodiment flow chart of method acquisition Meta Materials index distribution；
Fig. 4 is the device one embodiment schematic diagram that the present invention obtains the distribution of Meta Materials refractive index.
Detailed description of the invention
Below in conjunction with drawings and Examples, the present invention is described in detail.
As it is shown in figure 1, the step of the method for embodiment of the present invention acquisition Meta Materials index distribution is as follows,
Step S101: adopt emulation mode to make electromagnetic wave pass through Meta Materials.
Described electromagnetic wave is primarily referred to as far field electromagnetic ripple.The parameters of Meta Materials is to be realized by the mode emulated, and emulates mainly by modeling and the parameter such as dielectric constant and pcrmeability being carried out assignment.Under simulated environment, after electromagnetic wave passes through described Meta Materials, the gap between the far field data and the target far field data that obtain according to subsequent step, adjust simulation parameter dielectric constant and the pcrmeability etc. of described Meta Materials.Allow electromagnetic wave pass through to adjust the described Meta Materials after parameter, continue cycling through, until the gap between far field data and the target far field data of described acquisition is less than first threshold, obtain described Meta Materials.
Step S102: obtain in order to describe and to weigh the described Meta Materials data to electromagnetic response, including described electromagnetic wave through the far field data after described Meta Materials.
Described acquisition includes in order to describe and to weigh the Meta Materials data to electromagnetic response: utilize the interface of matlab and comsol to extract the data that in comsol, emulation obtains, to obtain in order to describe and to weigh the described Meta Materials data to electromagnetic response.The data of electromagnetic response are included the far field data of Meta Materials by described Meta Materials, rear surface, near field PHASE DISTRIBUTION, main half peak value have the data such as much.
Step S103: obtain the gap between described target far field data and the far field data of acquisition.
Described target far field data refers to that the index distribution of described Meta Materials reaches the size of far field data during the optimum state wanting to obtain.Target far field data obtains mainly by conventional experience, or is obtained by the some formula determined calculating.Described far field data is to electromagnetic response data of Meta Materials, it is possible to characterize electromagnetic intensity size.Described gap reflects degree close between described target far field data and the far field data of acquisition.Described gap is as the evaluation function of the far field data of described acquisition, when gap between described target far field data and the far field data of acquisition is less than first threshold, the index distribution of described Meta Materials reaches the optimum state wanting to obtain, and obtains the index distribution of described Meta Materials.
Step S104: judge that whether the gap between described target far field data and the far field data of acquisition is less than first threshold.
When gap between described target far field data and the far field data of acquisition is less than first threshold, perform step S105, when the gap between described target far field data and the far field data of acquisition is not less than first threshold, perform step S106.
Step S105: obtain the distribution of current Meta Materials refractive index.
When gap between described target far field data and the far field data of acquisition is less than first threshold, obtain the distribution of current Meta Materials refractive index.
Step S106: when the gap between described target far field data and the far field data of acquisition is not less than first threshold, adopt gradient to regulate method and obtain the index distribution of described Meta Materials, return continues executing with step S102, continue cycling through, until the gap between described target far field data and the far field data of acquisition is less than first threshold, obtain the distribution of current Meta Materials refractive index.
The method obtaining Meta Materials index distribution includes using the existing index distribution of interpolation method NURBS matching.
As in figure 2 it is shown, one embodiment of the invention uses interpolation method to adjust Meta Materials index distribution, step is as follows:
Step S201: carried out the index distribution of matching Meta Materials by the method for n point interpolation.
N described point is radom insertion, does not have any relations of dependence between n point.
Step S202: choose one of them in n point, adopts gradient to regulate method and obtains Meta Materials index distribution.
It can be simultaneous perturbation stochastic approximation algorithm or Newton method that described gradient regulates method.
Step S203: after the Meta Materials index distribution of the correspondence that completes to change the time by the adjustment of one of them point, adopts the distribution of the method acquisition Meta Materials refractive index that gradient regulates successively to remaining n-1 point.The obtained data of last comprehensive n point, simulate the final distribution of Meta Materials refractive index.
As it is shown on figure 3, one embodiment of the invention uses gradient to regulate method obtains Meta Materials index distribution, step is as follows:
Step S301: select an initial stepping length, randomly chooses a direction and a point in aforesaid n point is moved a stepping length.Wherein, carrying out the selection of initial stepping length according to conventional empirical value, described initial stepping length is more than Second Threshold.Gap between described target far field data and the far field data of acquisition is as the evaluation function of the far field data of described acquisition.
Step S302: judge whether the gap between described target far field data and the far field data of acquisition becomes big.Gap between described target far field data and the far field data of acquisition is not less than described first threshold and when diminishing, perform step S303, gap between described target far field data and the far field data of acquisition, not less than described first threshold and when becoming big, performs step S304.
Step S303: the gap between described target far field data and the far field data of acquisition, not less than described first threshold and when diminishing, selects described stepping length, continues to move a stepping length towards this equidirectional by one point.
Step S304: the gap between described target far field data and the far field data of acquisition, not less than described first threshold and when becoming big, selects described stepping length, continues to move a stepping length towards this rightabout by one point.
Step S305: obtain the gap between described target far field data and the far field data of acquisition, gap between described target far field data and the far field data of acquisition is not less than described first threshold and when diminishing, perform step S303, gap between described target far field data and the far field data of acquisition, not less than described first threshold and when becoming big, performs step S306.
Step S306: judge that whether described stepping length is less than described Second Threshold, if described stepping length is not less than described Second Threshold, perform step S307, if described stepping length is less than described Second Threshold, circulate complete, obtain the index distribution of described Meta Materials.
When the stepping length of described minimizing is less than Second Threshold, gap between described target far field data and the far field data of acquisition, not yet less than described first threshold, still draws the judgement less than described first threshold of the gap between described target far field data and the far field data of acquisition.
Step S307: select the stepping length reduced as new stepping length and to return step S302 and continue cycling through.The obtaining value method of described new stepping length has multiple, it is possible to first time takes 1/2nd of original described stepping length, and second time takes 1/4th of original described stepping length, by that analogy, until being finally reached the requirement of circulation.Can also taking 1/3rd of original described stepping length for the first time, second time takes 1/9th of original described stepping length, by that analogy, until being finally reached the requirement of circulation.The method such as index or logarithm can also be selected, constantly reduce described stepping length.Select a kind of that method above, mainly obtained based on experience value.
Being different from the situation of prior art, the present invention utilizes gradient to regulate method and obtains the distribution of refractive index, the far field data according to described acquisition, it is judged that the gap between described target far field data and the far field data of acquisition, by continuous adjustment, obtains the refractive index of Meta Materials.Compared with prior art by employing computer technology, although add calculation times, but improve the efficiency of calculating, also improve the levels of precision of calculating.The acquisition that can make Meta Materials refractive index is more efficient.
As shown in Figure 4, the present invention also provides for a kind of device obtaining Meta Materials index distribution, and described device includes: emulation module 401, data acquisition module 402, gap acquisition module 403, judge module 404, adjustment module 405, loop module 406, refractive index acquisition module 407.
Described emulation module 401 adopts emulation mode to make electromagnetic wave pass through described Meta Materials.
Described electromagnetic wave is primarily referred to as far field electromagnetic ripple.The parameters of Meta Materials is to be realized by the mode emulated, and emulates mainly by modeling and the parameter such as dielectric constant and pcrmeability being carried out assignment.
Described data acquisition module 402 is for obtaining the data describing and weighing described Meta Materials to electromagnetic response, including described electromagnetic wave through the far field data after described Meta Materials.
Described acquisition not only includes the far field data of described Meta Materials in order to describe and to weigh the Meta Materials data to electromagnetic response, also includes rear surface, the near field PHASE DISTRIBUTION of Meta Materials, main half peak value has the data such as much.
Gap acquisition module 403, for obtaining the gap between the far field data of described acquisition and target far field data.
Described target far field data refers to that the index distribution of described Meta Materials reaches the optimum state wanting to obtain, target far field data obtains mainly by conventional experience, or being calculated by some formula determined and obtain, described far field data is to electromagnetic response data of described Meta Materials.
Judge module 404, whether the gap being used for judging between described target far field data and the far field data of acquisition is less than described first threshold.
Described gap is as the evaluation function of the far field data of described acquisition.
Adjustment module 405, for when the gap judged between described target far field data and the far field data of acquisition is not less than first threshold, adopting the mode regulated based on gradient, change the distribution of described Meta Materials refractive index.
Loop module 406, for after the distribution of described adjustment module change Meta Materials refractive index, order about emulation module, gap acquisition module, judge module and adjustment module to work successively, until described judge templet judges that the gap between described target far field data and the far field data of acquisition is less than described first threshold.
Refractive index acquisition module 407, the index distribution of Meta Materials during for obtaining gap between described target far field data and the far field data of acquisition less than first threshold.
The foregoing is only embodiments of the invention; not thereby the scope of the claims of the present invention is limited; every equivalent structure utilizing description of the present invention and accompanying drawing content to make or equivalence flow process conversion; or directly or indirectly it is used in other relevant technical fields, all in like manner include in the scope of patent protection of the present invention.
Claims (7)
1. the method obtaining Meta Materials index distribution, it is characterised in that including:
Emulation mode is adopted to make electromagnetic wave pass through described Meta Materials；
Obtain in order to describe and to weigh the described Meta Materials data to electromagnetic response, including described electromagnetic wave through the far field data after described Meta Materials；
Obtain the gap between target far field data and the described far field data of acquisition；
Judge that whether the gap between described target far field data and the described far field data of acquisition is less than first threshold, if not less than described first threshold, the mode regulated based on gradient is adopted to change the index distribution of described Meta Materials, and return the acquisition described Meta Materials data to electromagnetic response, it is circulated, until the gap between described target far field data and the described far field data of acquisition is less than described first threshold；
The index distribution of Meta Materials when obtaining the gap between described target far field data and the described far field data of acquisition less than described first threshold；
Described employing includes based on the step of the index distribution that the mode that gradient regulates changes described Meta Materials: adopt simultaneous perturbation stochastic approximation algorithm or Newton method, the evaluation function that the far field data according to electromagnetic wave, described Meta Materials difference responded and obtain obtains, and then change the distribution of described Meta Materials refractive index.
2. method according to claim 1, it is characterised in that
The distribution step changing described Meta Materials refractive index includes: by the index distribution of Meta Materials described in the mode matching of n point interpolation, and by change described n point in any one or change index distribution with the interpolation of last point.
3. method according to claim 2, it is characterised in that
Mode that described employing regulates based on gradient and by change n put in any one or change the step of index distribution with the interpolation of last point and include:
Select a point in an initial stepping length and described n point, randomly choose a direction and move a stepping length；
If the gap between described target far field data and the described far field data of acquisition does not become big less than described first threshold and described gap, then select opposite direction that one point is moved a stepping length, obtain the described Meta Materials data to electromagnetic response；If the gap between described target far field data and the far field data of acquisition does not diminish less than described first threshold and described gap, then select described initial stepping length to continue to move a stepping length towards this equidirectional by one point, continue cycling through；Wherein, if the gap between described target far field data 5 and the described far field data obtained still becomes big after selection opposite direction, then reduce described stepping length and execution randomly chooses a direction and moves the step of the stepping length reduced and continue cycling through, until the gap between described target far field data and the described far field data of acquisition is less than described first threshold；
Wherein, if the stepping length of described minimizing is less than Second Threshold, gap between described target far field data and the described far field data of acquisition, not yet less than described first threshold, still draws the judgement less than described first threshold of the gap between described target far field data and the described far field data of acquisition；
Described point position change to gap between described target far field data and the far field data of acquisition less than described first threshold after, select the next one point repeat the above steps in described n point, until all n stepping length putting movement are both less than described Second Threshold so that gap between described target far field data and the described far field data of acquisition a little less than described first threshold.
4. the method according to any one of claims 1 to 3, it is characterised in that
Acquisition includes in order to describe and to weigh the Meta Materials step to the data of electromagnetic response: utilize the interface of matlab and comsol to extract the data that in comsol, emulation obtains, to obtain with 20 to describe and to weigh the described Meta Materials data to electromagnetic response.
5. the device obtaining Meta Materials index distribution, it is characterised in that including:
Emulation module, adopts emulation mode to make electromagnetic wave pass through described Meta Materials；
Data acquisition module, obtains in order to describe and to weigh the described Meta Materials data to electromagnetic response, including described electromagnetic wave through the far field data after described Meta Materials；
Gap acquisition module, for obtaining the gap between target far field data and the described far field data of acquisition；
Judge module, whether the gap being used for judging between described target far field data and the described far field data of acquisition is less than first threshold；
Adjustment module, for when the gap judged between described target far field data and the far field data of acquisition is not less than first threshold, adopting the mode regulated based on gradient, change the distribution of described Meta Materials refractive index；
Loop module, for after the distribution of described adjustment module change Meta Materials refractive index, order about emulation module, gap acquisition module, judge module and adjustment module to work successively, until described judge templet judges that the gap between described target far field data and the described far field data of acquisition is less than described first threshold；
Refractive index acquisition module, during for the gap between described target far field data and the described far field data of acquisition less than described first threshold, obtains the index distribution of described Meta Materials；
Described judge module, specifically for employing simultaneous perturbation stochastic approximation algorithm or Newton method, the evaluation function that Meta Materials difference is responded by the far field data obtained according to gap acquisition module, changes the distribution of described Meta Materials refractive index.
6. device according to claim 5, it is characterised in that
Described judge module carrys out the index distribution of Meta Materials described in matching by the mode of n point interpolation, and by changing in described n point any one or changing index distribution with the interpolation of last point.
7. the device according to any one of claim 5 to 6, it is characterised in that
Described data acquisition module emulates, specifically for utilizing the interface of matlab and comsol to extract, the data obtained in comsol, to obtain in order to describe and to weigh the described Meta Materials data to electromagnetic response.
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