CN107255838B - 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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- CN107255838B CN107255838B CN201710489115.5A CN201710489115A CN107255838B CN 107255838 B CN107255838 B CN 107255838B CN 201710489115 A CN201710489115 A CN 201710489115A CN 107255838 B CN107255838 B CN 107255838B
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Abstract
The invention belongs to electromagnetic wave technology fields, the specially implementation method of frequency sensitive auto-collimation phenomenon.Design method of the present invention includes: tentatively selected two dimensional photonic crystal lattice structure and material parameter, calculates the isofrequency map of each energy band under its TM mode；By adjusting photon crystal structure parameter and material parameter, sensitive auto-collimation phenomenon is searched out, i.e., comprising frequencies lines such as one group " lantern-shapeds " of frequencies line such as sensitive auto-collimations；Photonic crystal panel structure is established, structure and material parameter is identical as aforementioned 2 D photon crystal, covered metal plate (film) above and below slab construction；The thickness for determining the slab construction guarantees that in thickness direction be single mode.In microwave section, THz wave band, infrared and visible light wave range, so covered metal plate, the TM mode bandgap of limited thickness three-dimensional structure and 2 D photon crystal up and down is much like, to equally have frequency sensitive auto-collimation phenomenon.Since the structure preparation method is simple, frequency sensitive auto-collimation phenomenon can be widely used for electromagnetic wave every field.
Description
Technical field
The invention belongs to Microwave photonics technical fields.More particularly to the implementation method of frequency sensitive auto-collimation phenomenon.Benefit
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 technique
Auto-collimation phenomenon in photonic crystal can be realized the salt free ligands propagation phenomenon that spatial position 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.The Chinese invention patent of Publication No. CN104678491A " 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, there is very high-frequency susceptibility.It is in electromagnetic wave diffraction tune
Control, in terms of beam splitting all important application.But frequency sensitive auto-collimation phenomenon involved in this patent is all in two-dimentional TE mould
Under formula, it is difficult to be directly realized by three-dimensional structure.
Here just there is an important technical problem: how in three-dimensional practical structures realization frequency sensitive auto-collimation phenomenon.
Solve the problems, such as this, will make the various application devices based on two-dimensional frequency sensitivity auto-collimation phenomenon can actual fabrication go out
Come, considerably increases the practical value of frequency sensitive auto-collimation phenomenon.
Summary of the invention
The purpose of the present invention is to provide a kind of methods for realizing frequency sensitive auto-collimation phenomenon in three-dimensional practical structures, make
Three-dimensional structure has many advantages, such as that production is simple, is easily manipulated.
The implementation method of frequency sensitive auto-collimation phenomenon provided by the invention, the specific steps are as follows:
Step 1, tentatively selected two dimensional photonic crystal lattice structure and material parameter, calculate each energy band under its TM mode
Isofrequency map；
Step 2 passes through adjusting photon crystal structure parameter and material parameter, searches out sensitive auto-collimation phenomenon, that is, includes
Frequencies lines such as one group " lantern-shapeds " of the frequencies line such as auto-collimation；
Step 3 continues to adjust photonic crystal parameters, reduces the group velocity in auto-collimation region, improves frequency sensitivity；
Step 4, the 2 D photon crystal plate for constructing limited thickness, define photonic crystal panel with a thickness of Z-direction, two
Dimensional plane is X/Y plane, structural parameters and material parameter and aforementioned 2 D photon crystal feelings of the photonic crystal panel in X/Y plane
Condition is identical；
Step 5 determines photonic crystal panel thickness, and the covered metal plate above and below plate, guarantees its TM mode in thickness
Direction only exists single mode, i.e., in thickness direction, there is no the nodes that electric field value is zero.In general, the thickness of photonic crystal panel
Less than λ/2n, that is, it can guarantee that thickness direction only exists single mode, wherein λ is the vacuum wavelength of sensitive auto-collimation frequency, and n is photon
The mean refractive index of crystal.
2 D photon crystal TM mode described in step 1 refers to electric field E perpendicular to the mode of electromagnetic wave of 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 lattices structure such as the simple lattices such as lattice structure and hexagonal lattice.
The primitive unit cell of photon crystal structure described in step 1 can be made of multiple material, and internal structure includes but unlimited
In geometries such as round, oval, rectangular, rectangle, triangles.
Photon crystal structure parameter described in step 2 includes lattice vector, a variety of materials packing ratio 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, conductivity.
One group " lantern-shaped " of equal frequencies wire shaped is similar to shape demonstrated in Figure 1 described in step 2.
In step 5, the metal plate can be copper, be also possible to the metal of gold, silver or other good conductivities.
Limited thickness photonic crystal panel TM mode described in step 5 refers to the Electromagnetic Wave Mode of the vertical X/Y plane 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 band, infrared and visible light wave range, such covered metal plate, limited thickness three-dimensional structure up and down
TM mode bandgap and 2 D photon crystal it is much like, thus equally have frequency sensitive auto-collimation phenomenon.
Preparation method of the present invention is simple, and frequency sensitive auto-collimation phenomenon can be widely used for electromagnetic wave every field.
Detailed description of the invention
Fig. 1 silicon column type rectangle lattice photonic crystal TM mode the second energy band isofrequency map.Wherein, x direction lattice constant is a, y
Direction lattice constant is b, and length-width ratio β=b/a=1.8, dielectric posts are silicon column, dielectric constant 11.56, radius 0.2a, background
Material is air.
Fig. 2 or more covers the photonic crystal panel schematic diagram of copper sheet (film).Auto-collimation frequency is 0.434 c/a at this time, and c is
Vacuum light speed, corresponding vacuum wavelength be 2.30a, photonic crystal panel with a thickness of 0.5a, other parameters and two-dimensional case phase
Together.
Specific embodiment
Illustrate below by a specific example a kind of frequency sensitive auto-collimation phenomenon in the implementation method of microwave section,
1, the rectangle lattice structure that the photonic crystal that specific example of the present invention uses is made of multiple dielectric posts, the direction x
Lattice constant is a, and y direction lattice constant is b, length-width ratio β=b/a=2.Dielectric posts are silicon column, dielectric constant 11.56, radius
For 0.2a, background material is air.The first two under its TM mode is calculated using plane wave expansion method Calculation Plane wave spread method
Energy band, the second energy band of discovery have frequency sensitive autocollimatic linear type；
2, change lattice length-width ratio β=1.8, recalculate the isofrequency map of corresponding second energy band, frequency sensitive auto-collimation phenomenon
It still has, and frequency sensitivity is increased；
3, the auto-collimation frequency of two-dimensional structure is 0.434 c/a at this time, and c is vacuum light speed, and corresponding vacuum wavelength is
2.30a constructs the 2 D photon crystal plate with a thickness of 0.5a, and other parameters are identical as two-dimensional case, cover above and below plate
Copper sheet (film).It is much smaller than wavelength in the skin depth of microwave section, THz wave band, infrared and visible light wave range, the metals such as copper, because
This, the bandgap of this three-dimensional structure TM mode and 2 D photon crystal it is much like, thus equally have frequency sensitive from
Collimate phenomenon.Since the structure preparation method is simple, frequency sensitive auto-collimation phenomenon can be widely used for electromagnetic wave every field.
The above-mentioned description to example is for the ease of those of ordinary skill in the art it will be appreciated that and using invention.It is familiar with
Photonic crystal panel obviously such as can be changed to multiple-layer overlapped knot by the simple modification to this example by those skilled in the art
Structure substitutes cylinder etc. with sphere or curved post, this General Principle illustrated is applied in other examples without by creating
The labour of property.Therefore, the present invention is not limited to examples detailed above, those skilled in the art's announcement according to the present invention does not depart from this hair
The improvement and modification that bright scope is made, it is within the scope of the present invention.
Claims (8)
1. a kind of implementation method of frequency sensitive auto-collimation phenomenon, which is characterized in that specific steps are as follows:
Step 1 tentatively selectes two dimensional photonic crystal lattice structure and material parameter, calculates the equal frequency of each energy band under its TM mode
Figure；
Step 2 passes through adjusting photon crystal structure parameter and material parameter, searches out sensitive auto-collimation phenomenon, that is, includes autocollimatic
The frequencies lines such as straight one group " lantern-shaped " for waiting frequencies line；
Step 3 can continue to adjust photonic crystal parameters, reduce the group velocity in auto-collimation region, improve frequency sensitivity；
Step 4, the 2 D photon crystal plate for constructing limited thickness, define photonic crystal panel with a thickness of Z-direction, two dimension is flat
Face is X/Y plane, photonic crystal panel 2 D photon crystal feelings in the structural parameters and material parameter of X/Y plane and step 3
Condition is identical；
Step 5 determines photonic crystal panel thickness, the covered metal plate above and below plate, guarantees its TM mode in thickness direction
There are single modes, i.e., in thickness direction, there is no the nodes that electric field value is zero；
2 D photon crystal TM mode described in step 1 refers to electric field E perpendicular to the mode of electromagnetic wave of two-dimensional surface；
Limited thickness photonic crystal panel TM mode described in step 5 refers to the mode of electromagnetic wave of the vertical X/Y plane of electric field E.
2. the implementation method of frequency sensitive auto-collimation phenomenon according to claim 1, which is characterized 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, which is characterized in that described in step 1
The primitive unit cell of photon crystal structure be made of multiple material, internal structure is round, oval, rectangular, rectangle or triangle
Shape geometry.
4. the implementation method of frequency sensitive auto-collimation phenomenon according to claim 1,2 or 3, which is characterized in that in step 2
The photon crystal structure parameter includes lattice vector, a variety of materials packing ratio.
5. the implementation method of frequency sensitive auto-collimation phenomenon according to claim 4, which is characterized in that described in step 2
Photon crystal material parameter include the various packing materials of primitive unit cell refractive index, dielectric constant, magnetic conductivity, conductivity parameter.
6. according to claim 1, in the implementation method of microwave section, feature exists frequency sensitive auto-collimation phenomenon described in 2,3 or 5
In metal plate described in step 5 is the metal of copper, gold or silver or other good conductivities.
7. the implementation method of frequency sensitive auto-collimation phenomenon according to claim 6, which is characterized 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, which is characterized in that described in step 5
The mean refractive index of photonic crystal, wherein fkFor the filling rate of each material, εkFor
Corresponding relative dielectric constant.
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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 |
| CN109407461B (en) * | 2018-10-26 | 2022-04-12 | 京东方科技集团股份有限公司 | Photomask, method of manufacturing the same, and method of manufacturing display device |
| CN110673335B (en) * | 2019-09-01 | 2021-06-22 | 复旦大学 | Photonic crystal light splitting device and design method thereof |
| 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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| CN1558267A (en) * | 2004-02-03 | 2004-12-29 | 复旦大学 | Method for regulating two dimensional photon crystal forbidden band |
| CN104377453A (en) * | 2014-12-09 | 2015-02-25 | 南京大学 | Frequency-adjustable directed-radiation antenna |
| 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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| KR100534650B1 (en) * | 2003-01-23 | 2005-12-08 | 한국과학기술원 | Method for Preparation of Patterned Colloidal Crystals |
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| 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 |
| 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 |
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