CN107255838A - A kind of implementation method of frequency sensitive auto-collimation phenomenon - Google Patents
A kind of implementation method of frequency sensitive auto-collimation phenomenon Download PDFInfo
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- CN107255838A CN107255838A CN201710489115.5A CN201710489115A CN107255838A CN 107255838 A CN107255838 A CN 107255838A CN 201710489115 A CN201710489115 A CN 201710489115A CN 107255838 A CN107255838 A CN 107255838A
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- collimation
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- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B1/00—Optical elements characterised by the material of which they are made; Optical coatings for optical elements
- G02B1/002—Optical elements characterised by the material of which they are made; Optical coatings for optical elements made of materials engineered to provide properties not available in nature, e.g. metamaterials
- G02B1/005—Optical elements characterised by the material of which they are made; Optical coatings for optical elements made of materials engineered to provide properties not available in nature, e.g. metamaterials made of photonic crystals or photonic band gap materials
Abstract
The invention belongs to the implementation method in electromagnetic wave technology field, specially frequency sensitive auto-collimation phenomenon.Design method of the present invention includes：Tentatively selected two dimensional photonic crystal lattice structure and material parameter, calculate the isofrequency map of each energy band under its TM pattern；By adjusting photon crystal structure parameter and material parameter, sensitive auto-collimation phenomenon, i.e. the frequency line such as one group " lantern-shaped " comprising the frequency line such as sensitive auto-collimation are searched out；Photonic crystal panel structure is set up, structure and material parameter is identical with foregoing 2 D photon crystal, the covered metal plate above and below slab construction（Film）；Determine the thickness of the slab construction, it is ensured that thickness direction be single mode.In microwave section, THz wave bands, infrared and visible light wave range, so covered metal plate, the TM patterns bandgap of limited thickness three-dimensional structure and 2 D photon crystal up and down is much like, so as to equally have frequency sensitive auto-collimation phenomenon.Because the structure preparation method is simple, its frequency sensitive auto-collimation phenomenon can be widely used for electromagnetic wave every field.
Description
Technical field
The invention belongs to Microwave photonics technical field.The specifically related to implementation method of frequency sensitive auto-collimation phenomenon.Profit
It is approximate with the perfect electric conductor of metal, the two-dimensional model of photonic crystal is reappeared in three-dimensional practical structures.
Background technology
Auto-collimation phenomenon in photonic crystal can realize the salt free ligands propagation phenomenon that locus can move freely.Autocollimatic
Straight phenomenon has important independent of nonlinear effect or physical boundary in terms of integrated optical circuit and microwave monolithic integrated circuit
Using.Publication No. CN104678491A Chinese invention patent " supports the photonic crystal of high-frequency susceptibility auto-collimation phenomenon
And design method and application " a kind of new auto-collimation phenomenon is proposed, with very high-frequency susceptibility.It is adjusted in electromagnetic wave diffraction
Control, in terms of beam splitting all important application.But the frequency sensitive auto-collimation phenomenon involved by this patent is all in two-dimentional TE moulds
Under formula, it is difficult to be directly realized by three-dimensional structure.
Here just there is an important technical problem：How frequency sensitive auto-collimation phenomenon is realized in three-dimensional practical structures.
Solve this problem, will cause the various application devices based on the sensitive auto-collimation phenomenon of two-dimensional frequency can actual fabrication go out
Come, considerably increase the practical value of frequency sensitive auto-collimation phenomenon.
The content of the invention
It is an object of the invention to provide a kind of method for realizing frequency sensitive auto-collimation phenomenon in three-dimensional practical structures, make
Three-dimensional structure has the advantages that making is simple, is easily manipulated.
The implementation method for the frequency sensitive auto-collimation phenomenon that the present invention is provided, is comprised the following steps that：
Step 1, tentatively selected two dimensional photonic crystal lattice structure and material parameter, calculate under its TM pattern each can band wait frequency
Figure；
Step 2, by adjusting photon crystal structure parameter and material parameter, search out sensitive auto-collimation phenomenon, i.e., comprising autocollimatic
It is straight to wait frequency lines such as one group " lantern-shapeds " of frequency line；
Step 3, the regulation photonic crystal parameters that continue, the group velocity in reduction auto-collimation region improve frequency sensitivity；
Step 4, the 2 D photon crystal flat board for constructing limited thickness, the thickness for defining photonic crystal panel are Z-direction, and two dimension is flat
Face is X/Y plane, structural parameters and material parameter and foregoing 2 D photon crystal situation phase of the photonic crystal panel in X/Y plane
Together；
Step 5, determine photonic crystal panel thickness, and the covered metal plate above and below flat board, it is ensured that its TM pattern is in thickness direction
Single mode is only existed, i.e., the node that electric field value is zero is not present in thickness direction.In general, the thickness of photonic crystal panel is less than
λ/2n, you can ensure that thickness direction only exists single mode, wherein, λ is the vacuum wavelength of sensitive auto-collimation frequency, and n is photonic crystal
Mean refractive index.
2 D photon crystal TM patterns described in step 1 refer to mode of electromagnetic waves of the electric field E perpendicular to two dimensional surface.
Photon crystal structure described in step 1, including but not limited to tetragonal, rectangle lattice, triangular crystal lattice, rhombohedral crystal
The composite crystal lattice structure such as the simple lattice such as lattice structure and hexagonal lattice.
The primitive unit cell of photon crystal structure described in step 1, can be made up of multiple material, and its internal structure includes but do not limited
In the geometry such as circular, oval, square, rectangle, triangle.
Photon crystal structure parameter described in step 2 includes lattice vector, various material packing ratios etc..
Photon crystal material parameter described in step 2 includes but is not limited to the refractive index of the various packing materials of primitive unit cell, is situated between
The parameters such as electric constant, magnetic conductivity, conductance.
The similar shape demonstrated in Figure 1 of grade frequency wire shaped of one group " lantern-shaped " described in step 2.
In step 5, described metallic plate can be copper or gold, silver, or other good conductivities metal.
Limited thickness photonic crystal panel TM patterns described in step 5 refer to the Electromagnetic Wave Mode of the vertical X/Y planes of electric field E
Formula.
The mean refractive index of photonic crystal described in step 5, wherein fkFor each material
The filling rate of material, εkFor corresponding relative dielectric constant.
In microwave section, THz wave bands, infrared and visible light wave range, such covered metal plate, limited thickness three-dimensional structure up and down
TM patterns bandgap and 2 D photon crystal it is much like so that equally have frequency sensitive auto-collimation phenomenon.
Preparation method of the present invention is simple, and its frequency sensitive auto-collimation phenomenon can be widely used for electromagnetic wave every field.
Brief description of the drawings
Fig. 1 silicon column type rectangle lattice photonic crystal TM patterns second can band isofrequency map.Wherein, x directions lattice constant is a, y
Direction lattice constant is b, and length-width ratio β=b/a=1.8, dielectric posts are silicon column, and dielectric constant is 11.56, and radius is 0.2a, background
Material is air.
Above and below Fig. 2 covers copper coin（Film）Photonic crystal panel schematic diagram.Now auto-collimation frequency is 0.434 c/a, and c is
Vacuum light speed, corresponding vacuum wavelength is 2.30a, and the thickness of photonic crystal panel is 0.5a, other parameters and two-dimensional case phase
Together.
Embodiment
Illustrate a kind of implementation method of frequency sensitive auto-collimation phenomenon in microwave section below by an instantiation,
1st, the rectangle lattice structure that the photonic crystal that instantiation of the present invention is used is made up of multiple dielectric posts, x directions lattice
Constant is a, and y directions lattice constant is b, length-width ratio β=b/a=2.Dielectric posts are silicon column, and dielectric constant is 11.56, and radius is
0.2a, background material is air.The first two energy under its TM pattern is calculated using plane wave expansion method Calculation Plane wave spread method
Band, it is found that second can be with frequency sensitive autocollimatic linear pattern；
2nd, change lattice length-width ratio β=1.8, recalculate the isofrequency map of the energy band of correspondence second, frequency sensitive auto-collimation phenomenon is still
In the presence of, and frequency sensitivity increased；
3rd, now the auto-collimation frequency of two-dimensional structure is 0.434 c/a, and c is vacuum light speed, and corresponding vacuum wavelength is 2.30a,
The 2 D photon crystal flat board that thickness is 0.5a is constructed, other parameters are identical with two-dimensional case, and copper coin is covered above and below flat board
（Film）.In microwave section, THz wave bands, infrared and visible light wave range, the skin depth of the metal such as copper is much smaller than wavelength, therefore, this
The bandgaps of kind of three-dimensional structure TM patterns and 2 D photon crystal it is much like, so as to equally have frequency sensitive auto-collimation to show
As.Because the structure preparation method is simple, its frequency sensitive auto-collimation phenomenon can be widely used for electromagnetic wave every field.
The above-mentioned description to example is it will be appreciated that and using invention for the ease of one of ordinary skill in the field.It is familiar with
Photonic crystal panel obviously such as can be changed to multiple-layer overlapped knot by those skilled in the art by the simple modification to this example
Structure, with spheroid or curved post cylinder etc. is substituted, General Principle of this explanation is applied in other examples without by creating
The work of property.Therefore, the invention is not restricted to examples detailed above, those skilled in the art do not depart from this hair according to the announcement of the present invention
Improvement and modification that bright category is made, within protection scope of the present invention.
Claims (8)
1. a kind of implementation method of frequency sensitive auto-collimation phenomenon, it is characterised in that concretely comprise the following steps：
Step 1, tentatively selected two dimensional photonic crystal lattice structure and material parameter, calculate under its TM pattern each can band wait frequency
Figure；
Step 2, by adjusting photon crystal structure parameter and material parameter, search out sensitive auto-collimation phenomenon, i.e., comprising autocollimatic
It is straight to wait frequency lines such as one group " lantern-shapeds " of frequency line；
Step 3, the regulation photonic crystal parameters that can continue, the group velocity in reduction auto-collimation region improve frequency sensitivity；
Step 4, the 2 D photon crystal flat board for constructing limited thickness, the thickness for defining photonic crystal panel are Z-direction, and two dimension is flat
Face is X/Y plane, structural parameters and material parameter and foregoing 2 D photon crystal situation phase of the photonic crystal panel in X/Y plane
Together；
Step 5, determine photonic crystal panel thickness, the covered metal plate above and below flat board, it is ensured that its TM pattern in thickness direction only
There is single mode, i.e., the node that electric field value is zero is not present in thickness direction；
2 D photon crystal TM patterns described in step 1 refer to mode of electromagnetic waves of the electric field E perpendicular to two dimensional surface；
Limited thickness photonic crystal panel TM patterns described in step 5 refer to the mode of electromagnetic wave of the vertical X/Y planes of electric field E.
2. the implementation method of frequency sensitive auto-collimation phenomenon according to claim 1, it is characterised in that described in step 1
Photonic crystal lattice structure be tetragonal, rectangle lattice, triangular crystal lattice, rhombohedral lattice or hexagonal lattice lattice structure.
3. the implementation method of frequency sensitive auto-collimation phenomenon according to claim 1, it is characterised in that described in step 1
The primitive unit cell of photon crystal structure be made up of multiple material, its internal structure is circular, oval, square, rectangle or triangle
Shape geometry.
4. the implementation method of the frequency sensitive auto-collimation phenomenon according to claim 1,2 or 3, it is characterised in that in step 2
Described photon crystal structure parameter includes lattice vector, various material packing ratios.
5. the implementation method of frequency sensitive auto-collimation phenomenon according to claim 4, it is characterised in that described in step 2
Photon crystal material parameter include refractive index, dielectric constant, magnetic conductivity, the conductance parameter of the various packing materials of primitive unit cell.
6. frequency sensitive auto-collimation phenomenon according to claim 1,2,3 or 5 exists in the implementation method of microwave section, its feature
In the metallic plate described in step 5 is the metal of copper, gold or silver-colored, or other good conductivities.
7. the implementation method of frequency sensitive auto-collimation phenomenon according to claim 6, it is characterised in that described in step 5
The thickness of photonic crystal panel be less than λ/2n, wherein, λ is the vacuum wavelength of sensitive auto-collimation frequency, and n is the flat of photonic crystal
Equal refractive index.
8. the implementation method of frequency sensitive auto-collimation phenomenon according to claim 6, it is characterised in that described in step 5
The mean refractive index of photonic crystal, wherein fkFor the filling rate of each material, εk
For corresponding relative dielectric constant.
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Cited By (4)
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|---|---|---|---|---|
| CN107219625A (en) * | 2017-06-24 | 2017-09-29 | 复旦大学 | A kind of design method for the photonic crystal panel for supporting frequency sensitive auto-collimation phenomenon |
| CN109407461A (en) * | 2018-10-26 | 2019-03-01 | 京东方科技集团股份有限公司 | The method of photomask and preparation method thereof and production display device |
| CN110673335A (en) * | 2019-09-01 | 2020-01-10 | 复旦大学 | Photonic crystal light splitting device and design method thereof |
| 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 |
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| CN104678491A (en) * | 2013-11-27 | 2015-06-03 | 中国科学院上海微系统与信息技术研究所 | Photonic crystal supporting auto-collimating phenomenon with high frequency sensitivity as well as design method and application |
| CN104977651A (en) * | 2014-04-01 | 2015-10-14 | 中国科学院上海微系统与信息技术研究所 | Method for designing an ultrahigh-resolution photonic crystal superprism |
| CN103514873B (en) * | 2013-09-13 | 2015-12-09 | 西安交通大学 | A kind of low frequency vibration isolation composite sandwich structural |
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| US20040146811A1 (en) * | 2003-01-23 | 2004-07-29 | Seung-Man Yang | Method of preparing patterned colloidal crystals |
| CN1558267A (en) * | 2004-02-03 | 2004-12-29 | 复旦大学 | Method for regulating two dimensional photon crystal forbidden band |
| CN103514873B (en) * | 2013-09-13 | 2015-12-09 | 西安交通大学 | A kind of low frequency vibration isolation composite sandwich structural |
| CN104678491A (en) * | 2013-11-27 | 2015-06-03 | 中国科学院上海微系统与信息技术研究所 | Photonic crystal supporting auto-collimating phenomenon with high frequency sensitivity as well as design method and application |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN107219625A (en) * | 2017-06-24 | 2017-09-29 | 复旦大学 | A kind of design method for the photonic crystal panel for supporting frequency sensitive auto-collimation phenomenon |
| CN109407461A (en) * | 2018-10-26 | 2019-03-01 | 京东方科技集团股份有限公司 | The method of photomask and preparation method thereof and production display device |
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| CN110673335A (en) * | 2019-09-01 | 2020-01-10 | 复旦大学 | Photonic crystal light splitting device and design method thereof |
| 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 |
| 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 |
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