CN109324358A - A kind of design method of low-refraction than lower big complete photonic band gap photonic crystal - Google Patents
A kind of design method of low-refraction than lower big complete photonic band gap photonic crystal Download PDFInfo
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Abstract
A kind of design method the invention discloses low-refraction than lower big complete photonic band gap photonic crystal, is related to photonic crystal field.This method is mainly: the cellular of photonic crystal being 1. divided into corresponding pixel points by the required accuracy；2. replacing the shape and structure of high low-index material in cellular with two Distribution values of pixel；3. being iterated using iterative algorithm to two Distribution value of pixel, suitable structure cell is found；4. gained structure cell is described with numeric dimensions to be indicated, 5. increases energy band analysis number, the normalization band gap of photonic crystal is corresponded to using numerical calculations cellular.The cellular of big complete photonic band gap photonic crystal is the 1st cellular, and the 1st cellular is in positive 6 side shape, including the 1st boundary, the 1st low-refraction background material, the 1st high refractive index annulus dielectric posts and the 1st high refractive index connecting rod dielectric posts.Using the design method, complete photonic band gap can be obtained under compared with low-refraction ratio, the regulation to light wave can be realized in very big wave-length coverage.
Description
Technical field
The present invention relates to photonic crystal fields more particularly to a kind of low-refraction than lower big complete photonic band gap photonic crystal
Design method.
Background technique
The E.Yablonovitvh in the laboratory Bell of the U.S. in 1987 is discussing how to inhibit spontaneous radiation and Princeton
The S.John of university proposes the general of photonic crystal (Photonic Crystal, PC) when discussing photon region each independently
It reads.Photonic crystal is to have photonic band gap by dielectric structure made of certain periodic arrangement in space as different dielectric material
And forbidden photon band, the propagation of light can be controlled and be adjusted.
Photonic band gap refers to that the light wave of a certain frequency range cannot be propagated in the periodic structure of photonic crystal.This
So that photonic crystal is had the function of wavelength selection, can selectively make the light of some wave band by preventing the light of other wavelength
Pass through.It, can be by photonic crystal applications in many fields using this feature.
According to the difference to photocontrol ability, the bandgap type of 2 D photon crystal can be divided into three kinds: TE band gap, TM
Band gap and the complete photonic band gap simultaneously with TE, TM band gap.Photonic crystal with complete band gap is because to the different directions of propagation
On light all there is photon band gap and most of practical meaning.The width of complete photonic band gap and position determine photonic crystal
Application performance, thus it is significant to the optimization design of photonic crystal complete band gap.
In general, photon band gap width is wider, and crystal property is better.For example, photon band gap is wider, the work of photonic crystal
Make that frequency band is wider, transmission loss is smaller, the quality factor of photonic crystal resonant cavity and laser is higher, and photonic crystal is to spontaneous spoke
The binding effect penetrated is better, and the reflection efficiency of photon crystal reflecting mirror is more high.So increasing the width of photonic band gap, just
It is the quality for improving photonic crystal.
Photonic band gap is mainly compared shadow by dielectric dielectric constant of the lattice types of photonic crystal and composition crystal
It rings.Existing result of study shows using anisotropic dielectric material, introduced in photonic crystal primitive unit cell two or two with
On dielectric posts, the structure size of optimized medium column, so that reducing the symmetry of photonic crystal structure cell can improve
The width of full photon band gap.
Ardavan F. Oskooi of the Massachusetts Institute of Technology et al. is in " Zero-group-velocity modes in
Chalcogenide holey photonic-crystal fibers " in a text to existing round outside connecting rod (the 2nd cellular) light
Sub- crystal thinks that the band gap of the photonic crystal is decreased to disappear when refractive index ratio is 2.5 or so when being analyzed, work as refractive index
When than being greater than 2.5, which can produce biggish photon band gap, but when refractive index ratio is less than 2.5, which is not deposited
In photon band gap.
People are also it is believed that photonic crystal complete band gap is very small in the case where low-refraction ratio or do not deposit at present
, lack it is a kind of design low-refraction than the lower photonic crystal with complete photonic band gap design effectively method.
Summary of the invention
The purpose of the present invention is making up the deficiencies in the prior art, a kind of low-refraction is provided than lower big complete photonic band gap light
The design method of sub- crystal is particularly suitable for compared with low-refraction complete photon bigger than realization in the photonic crystal under material system
Band gap；And the structure cell of a kind of big complete photonic band gap photonic crystal is provided on this basis, other classes can also be instructed
Big complete photonic band gap is realized in the photonic crystal of type in low-refraction.
Purpose that the invention is realized by the following technical scheme.
One, design method of a kind of low-refraction than lower big complete photonic band gap photonic crystal
The design method includes the following steps:
1. the precision of the cellular of photonic crystal as desired is divided into corresponding pixel points；
2. replacing the shape and structure of high low-index material in cellular with two Distribution values of pixel；
3. being iterated using iterative algorithm to two Distribution value of pixel, suitable structure cell is found；
4. gained structure cell is described with numeric dimensions to be indicated；
5. increasing energy band analysis number, the normalization band gap of photonic crystal is corresponded to (hereinafter referred to as using numerical calculations cellular
Band gap)；
6. analysis cellular corresponds to the band structure of photonic crystal, if the cellular does not have a plurality of band gap, this method is not applicable；
7. being compared if the cellular has a plurality of band gap to energy band numerical result；
8. when high refractive index ratio, higher order band and low order energy band can form relatively large band gap, and the band of low order energy band
Gap can be bigger than the band gap of higher order band；
9. the band gap of higher order band and low order energy band all reduces therewith with the reduction of refractive index ratio, when refractive index ratio is reduced to certain
When one numerical value, the band gap of higher order band can be greater than the band gap of low order energy band；
10. low order energy band band gap disappears, and there are still one for higher order band when further decreasing refractive index ratio to lower numerical value
Fixed band gap, thus realize compared with low-refraction than obtaining big complete photonic band gap in the photonic crystal under material system.
Two, cellular of a kind of low-refraction than lower big complete photonic band gap photonic crystal
1st cellular be in positive 6 side shape, including the 1st boundary, the 1st low-refraction background material, the 1st high refractive index annulus dielectric posts and
1st high refractive index connecting rod dielectric posts；
6 the 1st boundary head and the tail connect into positive 6 side shape；
1st high refractive index annulus dielectric posts are an annulus, the center coincidence in the center of circle and the 1st cellular；
1st high refractive index connecting rod dielectric posts are 6 uniformly distributed rectangles, are connect respectively with the 1st high refractive index annulus dielectric posts；
1st low-refraction background material includes 1 intermediate circular hole and 6 uniformly distributed irregular 5 side shapes.
Compared with prior art, the present invention has following good effect.
1, the design method can be solved the problems, such as effectively more difficult than lower acquisition complete photonic band gap compared with low-refraction: not only
Suitable for obtaining complete photonic band gap than the novel photonic crystal structure cell of lower design compared with low-refraction, it can also be used to first
Before think compared with low-refraction, there is no obtain complete photonic band gap in the photonic crystal of complete photonic band gap than lower；
2, using the design method, complete photonic band gap can be obtained under compared with low-refraction ratio, it can be in very big wave-length coverage
Interior regulation of the realization to light wave, can also make the opto-electronic device of specific function, such as optical waveguide, optical microcavity, and greatly
Improve the optical property of these devices in ground.
Detailed description of the invention
Fig. 1 is the step flow chart of the design method；
Fig. 2 is the vivid expression figure of the design method and step 1.；
In figure:
The most simple Brillouin zone of A-tetragonal photonic crystal and pixel divide；
The most simple Brillouin zone of B-triangular crystal lattice photonic crystal and pixel divide.
Fig. 3 is the structural schematic diagram of looping pit peripheral connecting rod photonic crystal cellular of the invention, which is
a；
In figure:
10-looping pit peripheral connecting rod photonic crystal cellulars (referred to as the 1st cellular)
11-the 1 boundary；
12-the 1 low-refraction background material,
13-the 1 high refractive index annulus dielectric posts,
14-the 1 high refractive index connecting rod dielectric posts.
Fig. 4 is the 1st cellular in Fig. 3 using point in the design method of big complete photonic band gap photonic crystal of the invention
Analysis mode, in Parameters variation a plurality of energy band band gap maximum value with refractive index ratio trend chart.
Fig. 5 is the structural schematic diagram of existing round outside connecting rod photonic crystal cellular (the 2nd cellular), which is
a；
In figure:
20-circle outside connecting rod photonic crystal cellulars (referred to as the 2nd cellular)
21-the 2 boundary；
22-the 2 low-refraction background material,
23-the 2 high refractive index circular media column,
24-the 2 high refractive index connecting rod dielectric posts,
25-the 2 high refractive index sector dielectric posts.
Fig. 6 is the 2nd cellular in Fig. 5 using point in the design method of big complete photonic band gap photonic crystal of the invention
Analysis mode, in Parameters variation a plurality of energy band band gap maximum value with refractive index ratio trend chart.
Specific embodiment
One, method
Such as Fig. 1, this method includes the following steps:
1. the precision of the cellular of photonic crystal as desired is divided into corresponding pixel points -101
Such as Fig. 2, the cellular of tetragonal and triangular crystal lattice is respectively classified into two figure of A and B, A, B according to required pixel precision
Dashed-triangular part is respectively the most simple Brillouin zone of tetragonal and triangular crystal lattice photonic crystal in figure, will most simple Brillouin zone
After fold is symmetrical, the corresponding pixel of entire lattice cellular of tetragonal and triangular crystal lattice is obtained；
2. replacing the shape and structure -102 of high low-index material in cellular with two Distribution values of pixel
The distribution of pixel in cellular is indicated with 0 and 1 two-value distribution, thus instead of high in tetragonal and triangular crystal lattice cellular
The distribution of two kinds of materials of refractive index and low-refraction, and then indicate the structure of cellular；
3. being iterated using iterative algorithm to two Distribution value of pixel, suitable structure cell -103 is found；
Two Distribution values of pixel in lattice cellular are iterated using piecewise constant Level Set Method, the method for deep learning,
Find suitable structure cell；
4. gained structure cell is described with numeric dimensions indicates -104
By the suitable structure cell searched out be described with the numeric dimensions of mathematical model the radius indicated, including round block,
The length and width of rectangular block；
5. increasing energy band analysis number, the normalization band gap -105 of photonic crystal is corresponded to numerical calculations cellular；
When carrying out calculating analysis to the band structure of photonic crystal, the numerical method used includes that plane wave expansion method, time domain have
Limit calculus of finite differences, transfer matrix method and multiple-scattering method；
For the suitable structure cell searched out, ruler of the refractive index of two kinds of different materials used than manufacturing with reality when is considered
It is very little, in the range of refractive index ratio is 2.1 to 3.5, calculate the band gap of corresponding photonic crystal；At this point, increasing when numerical value calculates
Energy band number, not only calculates the low order energy band of corresponding photonic crystal, while calculating the band gap of higher order band；
For the photonic crystal of a certain determining structure cell and material therefor, to utilize higher order band or low order energy band,
When practical manufacture, under identical frequency, the practical manufacture size of higher order band is bigger than the practical manufacture size of low order energy band；
6. analysis cellular correspond to the band structure of photonic crystal, if the cellular does not have an a plurality of band gap, this method is not suitable for-
106；
The band structure that cellular corresponds to photonic crystal is related with the refractive index of structure cell and material therefor ratio, not all to find
Suitable structure cell all there is a plurality of band gap；High-order band gap is formed by higher order band, and low order band gap is by low order energy band
It is formed.If the cellular does not have a plurality of band gap, the analytical procedure below this method is no longer applicable in；
7. being compared -107 to energy band numerical result if the cellular has a plurality of band gap
If the cellular has a plurality of band gap, need to carry out analysis comparison to its band structure；
8. when high refractive index ratio, higher order band and low order energy band can form relatively large band gap, and the band of low order energy band
Gap can be bigger by -108 than the band gap of higher order band
In high refractive index ratio, higher order band and low order energy band can form relatively large band gap, and low order energy band at this time
Band gap it is bigger than the band gap of higher order band；
9. the band gap of higher order band and low order energy band all reduces therewith with the reduction of refractive index ratio, when refractive index ratio is reduced to certain
When one numerical value, the band gap of higher order band can be greater than the band gap -109 of low order energy band；
With the reduction of refractive index ratio, the band gap of higher order band and low order energy band all reduces therewith；
The variation of the low order energy band refractive index ratio of photonic crystal is more sensitive, and higher order band is influenced by refractive index than variation
It is smaller；Since low order energy band band gap reduces faster than the band gap of higher order band, so when refractive index ratio drops to a certain numerical value,
The band gap of higher order band can be greater than the band gap of low order energy band；
10. low order energy band band gap disappears, and there are still one for higher order band when further decreasing refractive index ratio to lower numerical value
Fixed band gap, thus realize compared with low-refraction than obtaining big complete photonic band gap -110 in the photonic crystal under material system
With further decreasing for refractive index ratio, the band gap of higher order band and low order energy band still reduces therewith；When further decreasing
When refractive index ratio is to lower numerical value, low order energy band band gap disappears, and there are still certain band gap for higher order band, to realize
Compared with low-refraction than obtaining big complete photonic band gap in the photonic crystal under material system；
Specifically, the low order energy band of photonic crystal more depends on the variation of refractive index ratio, so the change of refractive index ratio
Change more sensitive；Although low order energy band also has relatively large band gap when the numerical value of refractive index ratio is larger；But with refractive index ratio
The reduction of numerical value, the band gap of low order energy band can quickly reduce until disappearing；When the numerical value of refractive index ratio is smaller, low order energy band is not
There are band gap；
And the higher order band of photonic crystal more depends on structure cell, is influenced by refractive index than variation smaller；So working as
When the numerical value of refractive index ratio is larger, higher order band has relatively large band gap；And the reduction with refractive index than numerical value, high-order energy
Band will not soon disappear, but can slowly reduce on the basis of keeping certain numerical value；It is smaller in the numerical value of refractive index ratio
When, higher order band still has certain band gap.
Two, photonic crystal cellular
1, looping pit peripheral connecting rod photonic crystal cellular
1) overall
Such as Fig. 3, the 1st cellular 10 is in positive 6 side shape, including the 1st boundary 11, the 1st low-refraction background material 12, the 1st high refractive index
Annulus dielectric posts 13 and the 1st high refractive index connecting rod dielectric posts 14；
6 11 head and the tail of the 1st boundary connect into positive 6 side shape；
1st high refractive index annulus dielectric posts 13 are an annulus, the center coincidence in the center of circle and the 1st cellular 10；
1st high refractive index connecting rod dielectric posts 14 are 6 uniformly distributed rectangles, are connected respectively with the 1st high refractive index annulus dielectric posts 13
It connects；
1st low-refraction background material 12 includes 1 intermediate circular hole and 6 uniformly distributed irregular 5 side shapes.
2) functional block
1. the 1st boundary 11
It is the boundary of hypothesis for the 1st cellular 10 of pictute.
2. the 1st low-refraction background material 12
The dielectric constant of material itself is lower, generally selection air, silica etc..
3. the 1st high refractive index annulus dielectric posts 13
The dielectric constant of material itself is higher, generally selection silicon, GaAs and silicon nitride etc..
4. the 1st high refractive index connecting rod dielectric posts 14
The dielectric constant of material itself is higher, generally selection silicon, GaAs and silicon nitride etc., and is situated between with the 1st high refractive index annulus
13 material therefor of matter column is consistent.
3) embodiment
Using the design method of big complete photonic band gap photonic crystal of the invention, for looping pit periphery provided by the present invention
Connecting rod photonic crystal cellular (the 1st cellular) provides following 3 embodiments.
1. embodiment 1
The 1st high refractive index annulus dielectric posts exradius is in the structure cell of triangular crystal lattice looping pit peripheral connecting rod photonic crystal
1.08a, inner circle radius 0.65a, the width of six the 1st high refractive index connecting rod dielectric posts is all 0.1a；1st cellular is being rolled over
Penetrating rate, the relative value of corresponding maximum complete photonic band gap is 9.315669% than in the case where being 2.4.
2. embodiment 2
The 1st high refractive index annulus dielectric posts exradius is in the structure cell of triangular crystal lattice looping pit peripheral connecting rod photonic crystal
0.91a, inner circle radius 0.4a, the width of six the 1st high refractive index connecting rod dielectric posts is all 0.02a；1st cellular is being rolled over
Penetrating rate, the relative value of corresponding maximum complete photonic band gap is 20.27089% than in the case where being 3.1.
3. embodiment 3
The 1st high refractive index annulus dielectric posts exradius is in triangular crystal lattice looping pit peripheral connecting rod photonic crystal structure cell
1.145a, inner circle radius 0.7a, the width of six the 1st high refractive index connecting rod dielectric posts is all 0.14a；1st cellular exists
Than in the case where being 2.2, the relative value of corresponding maximum complete photonic band gap is 3.820089% to refractive index.
Referring to fig. 4, it can be seen that:
For the looping pit peripheral connecting rod photonic crystal being made of the 1st cellular:
In refractive index than under the high index ratio between for 3.0 to 3.5, low order energy band " B5-6 " and higher order band " B8-9 "
" B11-12 " has a relatively large band gap, but low order energy band " B5-6 " than higher order band " B8-9 " " B11-12 " band gap more
Greatly.
With the reduction of refractive index ratio, the band gap of low order energy band " B5-6 " quickly reduces, and the band gap of higher order band " B8-9 " becomes
Change very little, when refractive index is than about 2.7, the band gap of low order energy band " B5-6 " starts the band gap less than higher order band " B8-9 ".
With further decreasing for refractive index ratio, in refractive index than under the relatively low-refraction ratio between for 2.0 to 2.5, low order
The band gap of energy band " B5-6 " disappears, and higher order band " B8-9 " " B11-12 " still has certain band gap.
2, circle outside connecting rod photonic crystal cellular (referred to as the 2nd cellular)
1) overall
Such as Fig. 5, the 2nd cellular 10 is in positive 6 side shape, including the 2nd boundary 21, and the 2nd low-refraction background material 22, the 2nd is high
The 24, the 2nd high refractive index sector dielectric posts 25 of the 23, the 2nd high refractive index connecting rod dielectric posts of refractive index circular media column.
6 21 head and the tail of the 2nd boundary connect into positive 6 side shape；
2nd high refractive index circle row dielectric posts 23 are a circle, the center coincidence in the center of circle and the 2nd cellular 20；
2nd high refractive index connecting rod dielectric posts 24 are 3 uniformly distributed rectangles, respectively with the 2nd high refractive index circle row dielectric posts 23 and
The connection of 2nd high refractive index sector dielectric posts 25；
2nd low-refraction background material 22 is 3 uniformly distributed irregular 7 side shapes.
2) embodiment
Ardavan F. Oskooi of the Massachusetts Institute of Technology et al. is in " Zero-group-velocity modes in
Chalcogenide holey photonic-crystal fibers " photonic crystal that the 2nd cellular is formed is carried out in a text
Think when analysis, when refractive index ratio is less than 2.5, which is not present photon band gap.
Using the design method of big complete photonic band gap photonic crystal of the invention, for as described in Figure 5 already present
Circle outside connecting rod photonic crystal cellular (the 2nd cellular), provides following 3 embodiments.
1. embodiment 1
The 2nd high refractive index circular media column and the 2nd high refractive index are fan-shaped in triangular crystal lattice circle outside connecting rod photonic crystal structure cell
The radius of dielectric posts is all 0.19a, and 3 the 2nd high refractive index connecting rod dielectric posts width are all 0.08a；The photon crystal structure
In the case where refractive index is than being 3.1, the relative value of corresponding maximum complete photonic band gap is 9.997757%.
2. embodiment 2
The 2nd high refractive index circular media column and the 2nd high refractive index are fan-shaped in triangular crystal lattice circle outside connecting rod photonic crystal structure cell
The radius of dielectric posts is all 0.165a, and 3 the 2nd high refractive index connecting rod dielectric posts width are all 0.09a；The photon crystal structure
In the case where refractive index is than being 2.3, the relative value of corresponding maximum complete photonic band gap is 2.719949%.
3. embodiment 3
The 2nd high refractive index circular media column and the 2nd high refractive index are fan-shaped in triangular crystal lattice circle outside connecting rod photonic crystal structure cell
The radius of dielectric posts is all 0.095a, and 3 the 2nd high refractive index connecting rod dielectric posts width are all 0.07a；The photon crystal structure
In the case where refractive index is than being 2.9, the relative value of corresponding maximum complete photonic band gap is 4.399593%.
Referring to Fig. 6, it can be seen that:
For the circle outside connecting rod photonic crystal being made of the 2nd cellular:
In refractive index than under the high index ratio between for 3.0 to 3.5, low order energy band " B3-4 " and higher order band " B8-9 "
" B11-12 " has a relatively large band gap, but low order energy band " B3-4 " than higher order band " B8-9 " " B11-12 " band gap more
Greatly.
With the reduction of refractive index ratio, the band gap of low order energy band " B3-4 " quickly reduces, the band gap of higher order band " B11-12 "
Variation is smaller, and when refractive index is than about 2.75, the band gap of low order energy band " B3-4 " starts less than higher order band " B11-12 "
Band gap.
With further decreasing for refractive index ratio, low order energy band " B3-4 " starts to disappear when refractive index ratio is 2.6 or so,
Refractive index is than under the relatively low-refraction ratio between 2.2 to 2.5, and low order energy band " B3-4 " is not present band gap, and higher order band
" B11-12 " still has certain band gap.
Claims (2)
1. a kind of low-refraction is than the design method of lower big complete photonic band gap photonic crystal, it is characterised in that:
1. the precision of the cellular of photonic crystal as desired is divided into corresponding pixel points (101)；
2. replacing the shape and structure (102) of high low-index material in cellular with two Distribution values of pixel；
3. being iterated using iterative algorithm to two Distribution value of pixel, suitable structure cell (103) are found；
4. gained structure cell is described with numeric dimensions indicates (104)；
5. increasing energy band analysis number, the normalization band gap (105) of photonic crystal is corresponded to using numerical calculations cellular；
6. analysis cellular corresponds to the band structure of photonic crystal, if the cellular does not have a plurality of band gap, this method is not applicable
(106)；
7. being compared (107) to energy band numerical result if the cellular has a plurality of band gap；
8. when high refractive index ratio, higher order band and low order energy band all have relatively large band gap, and the band gap of low order energy band
It can be bigger (108) than the band gap of higher order band；
9. the band gap of higher order band and low order energy band all reduces therewith with the reduction of refractive index ratio, when refractive index ratio is reduced to certain
When one numerical value, the band gap magnitude of higher order band can be greater than the band gap magnitude (109) of low order energy band；
10. low order energy band band gap disappears, and there are still one for higher order band when further decreasing refractive index ratio to lower numerical value
Fixed band gap, thus realize compared with low-refraction than obtaining big complete photonic band gap in the photonic crystal under material system
(110).
2. a kind of cellular of big complete photonic band gap photonic crystal based on the design of claim 1 the method, it is characterised in that:
1st cellular 10 is in positive 6 side shape, including the 1st boundary (11), the 1st low-refraction background material (12), the 1st high refractive index circle
Ring dielectric posts (13) and the 1st high refractive index connecting rod dielectric posts (14)；
6 the 1st boundaries (11) connect into positive 6 side shape from beginning to end；
1st high refractive index annulus dielectric posts (13) are an annulus, the center coincidence in the center of circle and the 1st cellular (10)；
1st high refractive index connecting rod dielectric posts (14) are 6 uniformly distributed rectangles, respectively with the 1st high refractive index annulus dielectric posts
(13) it connects；
1st low-refraction background material (12) includes 1 intermediate circular hole and 6 uniformly distributed irregular 5 side shapes.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN111308582A (en) * | 2020-03-06 | 2020-06-19 | 中南民族大学 | Two-dimensional photonic crystal slab, design method and optical device using the slab |
| CN114594597A (en) * | 2022-03-23 | 2022-06-07 | 周宇森 | High-performance photonic crystal based on scattering region division and design method thereof |
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| CN104101946B (en) * | 2014-07-28 | 2017-07-18 | 欧阳征标 | Big absolute band gap tetragonal photonic crystal based on single connecting rod post and annulus post |
| CN107290826A (en) * | 2017-07-26 | 2017-10-24 | 江苏大学 | A kind of Two dimensional square lattice photon crystal structure with big TM forbidden bands based on windmill-shaped defect |
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| CN111308582A (en) * | 2020-03-06 | 2020-06-19 | 中南民族大学 | Two-dimensional photonic crystal slab, design method and optical device using the slab |
| WO2021175310A1 (en) * | 2020-03-06 | 2021-09-10 | 中南民族大学 | Two-dimensional photonic crystal panel, design method and optical device using panel |
| CN111308582B (en) * | 2020-03-06 | 2021-10-01 | 中南民族大学 | Two-dimensional photonic crystal slab, design method and optical device using the slab |
| CN114594597A (en) * | 2022-03-23 | 2022-06-07 | 周宇森 | High-performance photonic crystal based on scattering region division and design method thereof |
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