CN102890203B - Method and device for selecting test point of artificial electromagnetic material unit - Google Patents
Method and device for selecting test point of artificial electromagnetic material unit Download PDFInfo
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- CN102890203B CN102890203B CN201110111686.8A CN201110111686A CN102890203B CN 102890203 B CN102890203 B CN 102890203B CN 201110111686 A CN201110111686 A CN 201110111686A CN 102890203 B CN102890203 B CN 102890203B
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Abstract
The embodiment of the invention provides a method and a device for selecting a test point of an artificial electromagnetic material unit, comprising the steps of acquiring geometric parameters of the artificial electromagnetic material unit to be tested and the number of sampling sample points of the geometric parameters, constructing an uniform design table according to the geometric parameters and the number of the sampling sample points by a good lattice points manner, and selecting the test point of the artificial electromagnetic material unit indicated by the uniform design table. After implementing the invention, the test can be finished by selecting little testing points; the selecting number for the test points is reduced; test resources are saved; and the test design is optimized.
Description
Technical field
The present invention relates to Meta Materials field, be specifically related to a kind of testing site choosing method and device of artificial electromagnetic material unit.
Background technology
Along with the development of Meta Materials technology, the description of artificial electromagnetic material structural unit electromagnetic property plays vital effect to artificial electromagnetic material the Automation Design, the electromagnetic property of measurement artificial electromagnetic material structural unit is an important step in artificial electromagnetic material design process, the shape of artificial electromagnetic material and size can affect its electromagnetic property, therefore, in the process of electromagnetic property measuring artificial electromagnetic material unit, need to choose a large amount of testing sites to test.
At present, the testing site choosing method of artificial material unit is: such as test a kind of metamaterial unit of " work " type topological structure, the geometric parameter of definition is G vector [a, b, w], suppose parameter a, b, and the span of w tri-parameter is respectively [Isosorbide-5-Nitrae], [1,3], [0.1,0.2], and sample point number corresponding to each geometric parameter is 4,3 and 2.Orthogonal arrage is obtained as shown in table 1 below according to Orthogonal Experiment and Design principle:
Sequence number | a | b | w |
1 | 1 | 1 | 0.1 |
2 | 1 | 1 | 0.2 |
3 | 1 | 2 | 0.1 |
4 | 1 | 2 | 0.2 |
5 | 1 | 3 | 0.1 |
6 | 1 | 3 | 0.2 |
7 | 2 | 1 | 0.1 |
8 | 2 | 1 | 0.2 |
9 | 2 | 2 | 0.1 |
10 | 2 | 2 | 0.2 |
11 | 2 | 3 | 0.1 |
12 | 2 | 3 | 0.2 |
13 | 3 | 1 | 0.1 |
14 | 3 | 1 | 0.2 |
15 | 3 | 2 | 0.1 |
16 | 3 | 2 | 0.2 |
17 | 3 | 3 | 0.1 |
18 | 3 | 3 | 0.2 |
19 | 4 | 1 | 0.1 |
20 | 4 | 1 | 0.2 |
21 | 4 | 2 | 0.1 |
22 | 4 | 2 | 0.2 |
23 | 4 | 3 | 0.1 |
24 | 4 | 3 | 0.2 |
Table 1
To in the research and practice process of prior art, the present inventor finds, if the testing site choosing method of existing artificial electromagnetic material structural unit apply to multiple parameter and the sample of multiple parameter is counted out more time, then to choose a large amount of testing sites.Too much testing site can consume a large amount of resources.
Summary of the invention
The embodiment of the present invention provides a kind of testing site choosing method of artificial electromagnetic material unit, comprising:
Obtain the geometric parameter of artificial electromagnetic material unit to be measured and the sample point number of described geometric parameter;
According to described geometric parameter and sample point number, by good grid point method structure uniform designs table;
Choose the testing site of the artificial electromagnetic material unit of described uniform designs table instruction.
A testing site selecting device for artificial electromagnetic material unit, is characterized in that, comprising:
Correspondingly, the present invention also provides a kind of testing site selecting device of artificial electromagnetic material unit, comprising:
Data acquisition module, for the sample point number of the geometric parameter and described geometric parameter that obtain artificial electromagnetic material unit to be measured;
List construction module, for according to described geometric parameter and sample point number, by good grid point method structure uniform designs table;
Data decimation module, for choosing the testing site of the artificial electromagnetic material unit of described uniform designs table instruction.
The embodiment of the present invention is by obtaining the geometric parameter of artificial electromagnetic material unit to be measured and the sample point number of described geometric parameter; According to described geometric parameter and sample point number, by good grid point method structure uniform designs table; Choose the testing site of the artificial electromagnetic material unit of described uniform designs table instruction.Achieve and choose less testing site to complete test, that reduces testing site chooses number, has saved test resource, has optimized test design.
Accompanying drawing explanation
In order to be illustrated more clearly in the embodiment of the present invention or technical scheme of the prior art, be briefly described to the accompanying drawing used required in embodiment or description of the prior art below, apparently, accompanying drawing in the following describes is some embodiments of the present invention, for those of ordinary skill in the art, under the prerequisite not paying creative work, other accompanying drawing can also be obtained according to these accompanying drawings.
Fig. 1 is the process flow diagram of the testing site choosing method of the artificial electromagnetic material unit that first embodiment of the invention provides;
Fig. 2 is the process flow diagram of the testing site choosing method of the artificial electromagnetic material unit that second embodiment of the invention provides;
Fig. 3 is the structural representation of the testing site selecting device of the artificial electromagnetic material unit that third embodiment of the invention provides.
Embodiment
The embodiment of the present invention provides a kind of testing site choosing method and device of artificial electromagnetic material unit.Below be described in detail respectively.
The process flow diagram of the testing site choosing method of a kind of artificial electromagnetic material unit of the embodiment of the present invention one can with reference to figure 1, and the method comprises:
Step 101, obtains the geometric parameter of artificial electromagnetic material unit to be measured and the sample point number of described geometric parameter.
Geometric parameter can be represent that one group of parameter of artificial electromagnetic material geometric configuration and size describes, the corresponding multiple value level of each parameter.Such as: a kind of artificial electromagnetic material unit of " work " type topological structure, its geometric parameter is defined as vectorial G=[a, a b, w], the span that a, b and w are tri-is respectively [Isosorbide-5-Nitrae], [1,3], [0.1,0.2], the sample point number that these three geometric parameters are corresponding is respectively 4,3 and 2.
Step 102, according to described geometric parameter and sample point number, by good grid point (Good lattice point) method structure uniform designs table.
Suppose, we need to do n Electromagnetic Simulation experiment, and wherein n is the lowest common multiple of sample point number corresponding to each parameter.Find the positive integer h less than n, and make n with h become relatively prime relation.Vectorial h, a h=(h is formed meeting these positive integers required
1, h
2, ∧, h
m), wherein m is by Euler's function
determine.
Use congruence, generate the jth row of uniform designs table, shown in following formula:
u
ij=ih
j[mod n]
Work as ih
jwhen being greater than n, we deduct a suitable multiple of n with it, and its difference is dropped among [1, n].U
ijcan be generated by following formula recursion:
u
1j=h
j
wherein i=1, ∧, n-1
Step 103, chooses the testing site of the artificial electromagnetic material unit of described uniform designs table instruction.
Such as: the geometric parameter total quantity had in definition material structure be s (s be less than or equal to all with table total columns), we select arbitrarily the new matrix form D of s row composition one from uniform designs table
n, D
nin each column element be 1 ..., a displacement of n}.By u in former uniform designs table
ijvalue be transformed into
will by x
ijthe defined matrix formed is X
u=(x
ij).We are by X
un row regard as sampling solid space C
son n point, therefore X
uc can be seen as
son point set.By X
un the point determined not necessarily scatters evenly at solid space C
son, our task is exactly look for one wherein the most uniformly, makes corresponding experimental design table.
The embodiment of the present invention is by obtaining the geometric parameter of artificial electromagnetic material unit to be measured and the sample point number of described geometric parameter; According to described geometric parameter and sample point number, by good grid point method structure uniform designs table; Choose the testing site of the artificial electromagnetic material unit of described uniform designs table instruction.Achieve and choose less testing site to complete test, that reduces testing site chooses number, has saved test resource, has optimized test design.
The process flow diagram of the testing site choosing method of a kind of artificial electromagnetic material unit of the embodiment of the present invention two can with reference to figure 2, and the method that embodiment two compares embodiment one is optimized more, and the method specifically comprises:
Step 201, obtains the geometric parameter of artificial electromagnetic material unit to be measured and the sample point number of described geometric parameter.
Geometric parameter represents that one group of parameter of artificial electromagnetic material geometric configuration and size describes, the corresponding multiple value level of each parameter.Such as: a kind of artificial electromagnetic material unit of " work " type topological structure, its geometric parameter is defined as vectorial G=[a, a b, w], the span that a, b and w are tri-is respectively [Isosorbide-5-Nitrae], [1,3], [0.1,0.2], the sample point number that these three geometric parameters are corresponding is respectively 4,3 and 2.
Step 202, according to described geometric parameter and sample point number, by good grid point method structure uniform designs table.
Suppose that we need to do n Electromagnetic Simulation experiment, wherein n is the lowest common multiple of sample point number corresponding to each parameter.Find the positive integer h less than n, and make n with h become relatively prime relation.Vectorial h, a h=(h is formed meeting these positive integers required
1, h
2, ∧, h
m), wherein m is by Euler's function
determine.
Use congruence, generate the jth row of uniform designs table, shown in following formula:
u
ij=ih
j[mod n]
Work as ih
jwhen being greater than n, we deduct a suitable multiple of n with it, and its difference is dropped among [1, n].U
ijcan be generated by following formula recursion
u
1j=h
j
wherein i=1, ∧, n-1
Step 203, chooses the testing site of the artificial electromagnetic material unit of described uniform designs table instruction.Such as: the geometric parameter total quantity had in definition material structure be s (s be less than or equal to all with table total columns), we select arbitrarily the new matrix form D of s row composition one from uniform designs table
n, D
nin each column element be 1 ..., a displacement of n}.By u in former uniform designs table
ijvalue be transformed into
will by x
ijthe defined matrix formed is X
u=(x
ij).We are by X
un row regard as sampling solid space C
son n point, therefore X
uc can be seen as
son point set.By X
un the point determined not necessarily scatters evenly at solid space C
son, our task is exactly look for one wherein the most uniformly, makes corresponding experimental design table.
Step 204, uses centralization L2 deviation to calculate the homogeneity of uniform designs table.
The geometric parameter total quantity had in definition material structure be s (s be less than or equal to all with table total columns), we select arbitrarily the new matrix form D of s row composition one from uniform designs table
n, D
nin each column element be 1 ..., a displacement of n}.By u in former uniform designs table
ijvalue be transformed into
will by x
ijthe defined matrix formed is X
u=(x
ij).We are by X
un row regard as sampling solid space C
son n point, therefore X
uc can be seen as
son point set.By X
un the point determined not necessarily scatters evenly at solid space C
son, our task is exactly look for one wherein the most uniformly, makes corresponding experimental design table.We adopt common centralization L
2-deviation, the centralization L of point set P
2-deviation is denoted as CD
2(D
n), its computing formula is:
In numerous matrix D
nin, find out one, its corresponding X corresponding
uin there is minimum CD
2the matrix table of-value, is designated as U (n
s)
Step 205, chooses the testing site of the artificial electromagnetic material unit indicated by the maximum matrix of homogeneity in described uniform designs table.
If evenly table generates m row, and m value and geometric parameter total quantity s value are all comparatively large, the matrix of required test has
more than, the workload comparing homogeneity accordingly can be very large.This technology only adopts the Approximate Solution of " congruence power " to solve relevant issues.Definition a is the integer being less than n, and a, a
2..., a
tvalue after (mod n) is different, t for getting positive integer, wherein a
t+1=1 (mod n), t is defined as the number of times of a to n.Select t to be more than or equal to s-1 corresponding, and become a of relatively prime relation with n, use
(a
0,a,∧,a
s-1) (mod n)
As generation vector.According to the information generating vector, structure experimental design table, is designated as U
n(n
s).
The embodiment of the present invention is by obtaining the geometric parameter of artificial electromagnetic material unit to be measured and the sample point number of described geometric parameter; According to described geometric parameter and sample point number, by good grid point method structure uniform designs table; Choose the testing site of the artificial electromagnetic material unit of described uniform designs table instruction.Achieve and choose less testing site to complete test, that reduces testing site chooses number, has saved test resource, has optimized test design.
Also provide a kind of testing site selecting device of artificial electromagnetic material unit to be described in detail to the embodiment of the present invention below, as shown in Figure 3, this device comprises:
Data acquisition module 11, for the sample point number of the geometric parameter and described geometric parameter that obtain artificial electromagnetic material unit to be measured;
List construction module 12, for according to described geometric parameter and sample point number, by good grid point method structure uniform designs table;
Data decimation module 13, for choosing the testing site of the artificial electromagnetic material unit of described uniform designs table instruction.
Preferably, described data decimation module 13 specifically comprises:
Even computing unit 131, for the homogeneity using centralization L2 deviation to calculate uniform designs table;
Data selecting unit 132, for choosing the testing site of the artificial electromagnetic material unit indicated by the maximum matrix of homogeneity in described uniform designs table.
With embody rule scene, said apparatus is described below:
The geometric parameter that tentation data sampling module 11 obtains and sample point number example as described in the background art, according to described geometric parameter and sample point, list construction module 13 is generated evenly by good grid point method structure
show as follows:
Sequence number | 1 | 2 | 3 |
1 | 6 | 10 | 11 |
2 | 12 | 7 | 9 |
3 | 5 | 4 | 7 |
4 | 11 | 1 | 5 |
5 | 4 | 11 | 3 |
6 | 10 | 8 | 1 |
7 | 3 | 5 | 12 |
8 | 9 | 2 | 10 |
9 | 2 | 12 | 8 |
10 | 8 | 9 | 6 |
11 | 1 | 6 | 4 |
12 | 7 | 3 | 2 |
Table 2
The corresponding CD of even this table 2 of computing unit 131 technology
2-to be worth be 0.0838.This also means that the homogeneity of this table is comparatively than good.A, b are placed on first two columns, w be placed on the 3rd row, by first row sample level be merged into 4 levels, i.e. { 1,2,3}=1, { 4,5,6}=2, { 7,8,9}=3, { 10,11,12}=4.Again just first row sample level be merged into 3 levels, i.e. { 1,2,3,4}=1, { 5,6,7,8}=2, { 9,10,11,12}=3.3rd row are merged into 2 levels simultaneously, namely 1,2,3,4,5,6}=1, { 7,8,9,10,11,12}=2.So generate following design table
Sequence number | a | b | w |
1 | 2 | 3 | 0.2 |
2 | 4 | 2 | 0.2 |
3 | 2 | 1 | 0.2 |
4 | 4 | 1 | 0.1 |
5 | 2 | 3 | 0.1 |
6 | 4 | 2 | 0.1 |
7 | 1 | 2 | 0.2 |
8 | 3 | 1 | 0.2 |
9 | 1 | 3 | 0.2 |
10 | 3 | 3 | 0.1 |
11 | 1 | 2 | 0.1 |
12 | 3 | 1 | 0.1 |
Table 3
According to above uniform test design table table, ' work ' type structural unit of 12 different sizes only need be selected to be used for electromagnetic property simulated measurement, namely to can be used for summing up its electromagnetic property.
Measuring in design in the experiment of the electromagnetic property of artificial electromagnetic material structural unit, by uniform test design Technology application in ' work ' type topological structure building different parameters ratio, contributing to when not affecting experimental result, reduce experimental procedure.Especially test for multifactorial mixed-level, conventional orthogonal experimental design is difficult to accomplish that experimental procedure is obviously optimized, and what have is similar to comprehensive test.So in this case, introduce uniform test design technology, when selecting experiment representative point and combining, to ensure that it is uniformly dispersed for sole criterion, thus realize drawing distortionless experimental result in the experiment that quantity is few.This for solve Meta Materials exploitation experimentation in, run into about multiparameter, the research and development time consuming procedures found of multilevel product, provides an effective solution.
The embodiment of the present invention is by obtaining the geometric parameter of artificial electromagnetic material unit to be measured and the sample point number of described geometric parameter; According to described geometric parameter and sample point number, by good grid point method structure uniform designs table; Choose the testing site of the artificial electromagnetic material unit of described uniform designs table instruction.Achieve and choose less testing site to complete test, that reduces testing site chooses number, has saved test resource, has optimized test design.
One of ordinary skill in the art will appreciate that all or part of step in the various methods of above-described embodiment is that the hardware that can carry out instruction relevant by program has come, this program can be stored in a computer-readable recording medium, and storage medium can comprise: ROM, RAM, disk or CD etc.
Above the method and apparatus that the embodiment of the present invention provides is described in detail, apply specific case herein to set forth principle of the present invention and embodiment, the explanation of above embodiment just understands method of the present invention and core concept thereof for helping; Meanwhile, for one of ordinary skill in the art, according to thought of the present invention, all will change in specific embodiments and applications, in sum, this description should not be construed as limitation of the present invention.
Claims (10)
1. a testing site choosing method for artificial electromagnetic material unit, is characterized in that, comprising:
Obtain the geometric parameter of artificial electromagnetic material unit to be measured and the sample point number of described geometric parameter;
According to the sample point number of the total quantity of described geometric parameter, default Electromagnetic Simulation experiment number and described geometric parameter, by good grid point method structure uniform designs table, described default Electromagnetic Simulation experiment number is the lowest common multiple of the sample point number that each geometric parameter is corresponding;
Choose the testing site of the artificial electromagnetic material unit of described uniform designs table instruction.
2. the method for claim 1, is characterized in that, described in choose the instruction of described uniform designs table the testing site of artificial electromagnetic material unit specifically comprise:
Centralization L2 deviation method is used to calculate the homogeneity of uniform designs table;
The testing site of the artificial electromagnetic material unit indicated by the maximum matrix of homogeneity is chosen in described uniform designs table.
3. the method for claim 1, is characterized in that, the shape of described geometric parameter instruction artificial electromagnetic material unit or size.
4. the method for claim 1, is characterized in that, described geometric parameter has two value levels at least.
5. the method for claim 1, is characterized in that, described artificial electromagnetic material unit at least comprises two parameters.
6. a testing site selecting device for artificial electromagnetic material unit, is characterized in that, comprising:
Data acquisition module, for the sample point number of the geometric parameter and described geometric parameter that obtain artificial electromagnetic material unit to be measured;
List construction module, for the sample point number of the total quantity according to described geometric parameter, default Electromagnetic Simulation experiment number and described geometric parameter, by good grid point method structure uniform designs table, described default Electromagnetic Simulation experiment number is the lowest common multiple of the sample point number that each geometric parameter is corresponding;
Data decimation module, for choosing the testing site of the artificial electromagnetic material unit of described uniform designs table instruction.
7. device as claimed in claim 6, it is characterized in that, described data decimation module specifically comprises:
Even computing unit, for the homogeneity using centralization L2 deviation to calculate uniform designs table;
Data selecting unit, for choosing the testing site of the artificial electromagnetic material unit indicated by the maximum matrix of homogeneity in described uniform designs table.
8. device as claimed in claim 6, is characterized in that, the shape of described parameter instruction artificial electromagnetic material unit or size.
9. device as claimed in claim 6, it is characterized in that, described parameter has two value levels at least.
10. device as claimed in claim 6, it is characterized in that, described artificial electromagnetic material unit at least comprises two parameters.
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