CN106842371B - A kind of focal length substantially adjustable photonic crystal lens and its design method - Google Patents
A kind of focal length substantially adjustable photonic crystal lens and its design method Download PDFInfo
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- CN106842371B CN106842371B CN201710011883.XA CN201710011883A CN106842371B CN 106842371 B CN106842371 B CN 106842371B CN 201710011883 A CN201710011883 A CN 201710011883A CN 106842371 B CN106842371 B CN 106842371B
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- G—PHYSICS
- G02—OPTICS
- 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
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
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Abstract
The invention belongs to the technical fields such as photoelectron, optic communication.Specially a kind of focal length substantially adjustable photonic crystal lens and its design method.Design method of the present invention includes: tentatively selected photon crystal material and structure, obtains isofrequency map, finds frequency sensitive auto-collimation region；For actual needs working frequency section and ranges of incidence angles, work phase space is determined；Structural parameters and material parameter optimization design are carried out to photonic crystal, so that waiting frequencies line curvature as big as possible to the susceptibility of photon crystal material refractive index, while avoiding the frequencies line degeneracy such as appearance in work phase space；According to selected materials characteristic, suitable mode is selected, changes the refractive index of photonic crystal composition material, and then change the position of light beam focus point or virtual focus.Under the same conditions, the variation of refractive index needed for this programme multiple orders of magnitude smaller than block materials or common photonic crystal, it is easy to accomplish.The design integration is good, can apply to the fields such as light beam focusing, width of light beam control, sensitive detection.
Description
Technical field
The invention belongs to the technical fields such as photoelectron, optic communication.More particularly to a kind of focal length substantially adjustable photonic crystal
Lens and its design method.
Background technique
Photonic crystal is the dielectric material that refractive index changes in space periodicity, it can efficiently control the propagation of photon
Behavior.From E.Yablonovitch and S.John since proposing this concept twenty years ago, people just answer photonic crystal
With giving extensive concern.Especially in technical field of photo communication, photonic crystal fiber, filter, is integrated micro-cavity lasers
The photon crystal devices such as optical path have broad application prospects.The continuous improvement of semiconductor material micrometer-nanometer processing technology greatly pushes away
The application paces of two dimension even three-D photon crystal device in practice are moved.In recent years, it tuneable photonic crystal lens and its answers
The hot spot paid close attention to industry is become, because optical microlens are one of the core devices in the fields such as beam shaping, optical detection.
Photonic crystal adjustable lens become convergent point of the monochromatic small size light beam inside photonic crystal continuously by changing external condition
Change.Its feature on the one hand be it is small in size be easily integrated, and on the other hand it provide a kind of direct small size Beam Wave-Front
The method of modulation.Existing literature discloses a kind of photonic crystal adjustable lens.It makes inching gear using MEMS technology to change
Become the lattice constant of photonic crystal to achieve the purpose that change photonic crystal properties.This photonic crystal adjustable lens are inevitable
Ground there are complex manufacturing technology, stability is poor the problems such as, be unfavorable for application of the device in integrated optical circuit.
By reducing lattice symmetry, the position of Van Hove singularities is adjusted, so that low group velocity band and auto-collimation area
Domain is overlapped, and the auto-collimation phenomenon of frequency sensitive may be implemented.We have found that light beam behavior is also refractive index in this class formation
Sensitive, and in auto-collimation frequency two sides, photonic crystal natively potentially acts as concavees lens and convex lens.It is set based on this structure
Count New-type photon crystal adjustable lens, can be with before effective solution the problem of.
Summary of the invention
The purpose of the present invention is to provide a kind of focal length substantially adjustable photonic crystal lens and its design methods, make the light
Sub- crystalline lens have many advantages, such as that production is simple, operating condition easily reaches, area is small and exquisite.
The design method of focal length provided by the invention substantially adjustable photonic crystal lens, be it is a kind of based on frequency sensitive from
The design method of the diffraction regulation of collimator effect, the specific steps are as follows:
Step 1, selected media material, determine photon crystal structure type and structural parameters, obtain the photonic crystal etc.
Frequency is schemed, and the auto-collimation region of frequency sensitive is found in isofrequency map；
Step 2 is directed to actual needs working frequency section and ranges of incidence angles, determines work " phase space ", i.e., frequency is empty
Between and the reciprocal space range；
Step 3 carries out structural parameters and material parameter optimization design to photonic crystal, so that waiting frequencies line curvature to photon crystalline substance
The susceptibility of body material (certain or a variety of) refractive index is as big as possible, while avoiding occurring " waiting frequencies line simple in work phase space
And "；
Step 4, according to selected materials characteristic, select suitable mode, such as electric light, hot light, non-linear or other physics
Effect makes the refraction index changing of one or more photonic crystal composition materials, and then changes the position of light beam focus point or virtual focus
It sets.
In the present invention, the operation of step 1 can be found in prior art and " support the photon of high-frequency susceptibility auto-collimation phenomenon brilliant
Body and design method and application application number: the 201310625054.2. date of application: 2013-11-27. (patent of invention,
PCT International Patent Application number: PCT/CN2014/074280) ".
In the present invention, operating frequency range described in step 2 includes all electromagnetic wave bands, such as visible light wave range, red
Wave section, terahertz wave band and microwave section etc.；
The ranges of incidence angles includes normal incidence situation, also includes oblique incidence situation；
The range of the reciprocal space is determined by the equal incident linea angulata and width of light beam of Brillouin zone.
In the present invention, the structural parameters of photonic crystal described in step 3 include but is not limited to that lattice types, lattice are normal
Number, packing ratio, the planform in single primitive unit cell and structural parameters etc.；
The material parameter of the photonic crystal includes but is not limited to the dielectric constant of each composition material of photonic crystal, magnetic
Conductance constant and refractive index etc.；
The lattice types of the photonic crystal can be two dimension, the three-dimensional or quasi- two-dimensionally periodic structure of stratiform, including but not
It is limited to the lattice structures such as tetragonal, rectangle lattice, triangular crystal lattice, Mi Dui, diamond；
The susceptibility of the described equal frequencies line curvature refractive index, refer to equal frequencies line curvature to photon crystal material (certain or
It is a variety of) derivative of refractive index, it can be obtained with the method for theoretical calculation, can also experimentally be obtained；" etc.
Frequency line degeneracy " refers to different equal frequencies line frequency having the same, this degeneracy includes the degeneracy of same energy band, also includes difference
The degeneracy of energy band；
The susceptibility of the frequencies line curvature refractive index such as auto-collimation after the optimization, generally requires greater than 30(For
Light beam vacuum wavelength), about 300 of block materials times or more can easily realize focus adjustable.
The focal length for the photonic crystal lens that design method of the present invention designs is substantially adjustable, when variations in refractive index 0.2%
When, focal length can increase an order of magnitude, and production is simple, operating condition easily reaches, area is small and exquisite.This focal length height
Adjustable photonic crystal lens can be widely used in can apply to the fields such as light beam focusing, width of light beam control, sensitive detection.
Detailed description of the invention
Fig. 1 selectes photon crystal structure isofrequency map.
Fig. 2 finely tunes the structural schematic diagram of the numerical experiment results of refractive index control focal length.
Fig. 3 finely tunes the numerical experiment results figure of refractive index control focal length.(a) refractive index of the Ge after the corresponding fine tuning of-(c)
Respectively n1=3.988, n2=3.992, n3=3.996。
Specific embodiment
Illustrate the design method of the super prism of photonic crystal of the invention below by a specific embodiment,
1, photon crystal material is selected, determines Refractive Index of Material, photon crystal structure type is selected, determines structural parameters:
The selection of material Ge in the specific embodiment of the invention, refractive index are n=4.0, and the technology of preparing of this material is mature.By this medium
The rectangle lattice structure that column construction photonic crystal is made of multiple dielectric posts, the radius of dielectric posts are r=0.27a, and a is here
Lattice period, length-width ratio 1.2.And the dispersion relation of the structure is calculated using plane wave expansion method, select second energy band simultaneously
The isofrequency map of the energy band is calculated, Fig. 1 is calculated result.
2, select actual needs working frequency section and ranges of incidence angles, determine work " phase space ", i.e., frequency space and
The range of the reciprocal space: selected operation wavelength is 1.55 μm, is to be widely used at present optical communicating waveband, lattice period a=564nm,
Using normal incidence scheme, width of light beam 15a, longitudinal wave vector kyIt is limited to, lateral wave vector is by working
Wavelength determines.
3, calculate the photonic crystal etc. frequencies line curvature refractive index susceptibility, judge susceptibility it is whether sufficiently large and
Auto-collimation frequency whether there is degeneracy；If susceptibility is not big enough or there are degeneracys, continue Optimal Parameters.This design structure calculates
The susceptibility of resulting equal frequencies line curvature refractive index is 1200(For light beam vacuum wavelength), about block materials
10000 times.
4, after selecting photonic crystal size and operation wavelength, the refractive index of Ge is finely tuned by thermo-optic effect, light is incident on
Different diffraction characteristics can be generated inside photonic crystal.The refractive index of Ge after the corresponding fine tuning of Fig. 3 (a)-(c) is respectively n1=
3.988 n2=3.992, n3=3.996.There is marked difference in their convergent point position, to illustrate such photonic crystal lens
Focal length height is adjustable.This height-adjustable photonic crystal lens of focal length can be widely used in can apply to light beam focusing, light beam
The fields such as width control, sensitive detection.
Claims (7)
1. a kind of design method of focal length substantially adjustable photonic crystal lens, which is characterized in that specific steps are as follows:
Step 1, selected media material, determine photon crystal structure type and structural parameters, obtain the isofrequency map of the photonic crystal,
The auto-collimation region of frequency sensitive is found in isofrequency map；
Step 2, for actual needs working frequency section and ranges of incidence angles, determine work " phase space ", i.e., frequency space and
The range of the reciprocal space；
Step 3 carries out structural parameters and material parameter optimization design to photonic crystal, so that waiting frequencies line curvature to photonic crystal material
Expect that the susceptibility of refractive index is as big as possible, while avoiding " waiting frequencies line degeneracy " occur in work phase space；
Step 4, according to selected materials characteristic, select suitable mode, including electric light, hot light, non-linear or other physical effects,
Make the refraction index changing of one or more photonic crystal composition materials, and then changes the position of light beam focus point or virtual focus.
2. design method according to claim 1, which is characterized in that operating frequency range described in step 2 is all
Electromagnetic wave bands, including visible light wave range, infrared band, terahertz wave band and microwave section；
Ranges of incidence angles described in step 2 includes normal incidence situation, also includes oblique incidence situation；
The range of the reciprocal space described in step 2 is determined by the equal incident linea angulata and width of light beam of Brillouin zone.
3. design method according to claim 1 or 2, which is characterized in that the structure of photonic crystal described in step 3 is joined
Number includes lattice types, lattice constant, packing ratio, the planform in single primitive unit cell and structural parameters；
The material parameter of the photonic crystal includes the dielectric constant, permeability constant and folding of each composition material of photonic crystal
Penetrate rate；
The lattice types of the photonic crystal are two dimension, the three-dimensional or quasi- two-dimensionally periodic structure of stratiform, including tetragonal, rectangular
The lattice structure of lattice, triangular crystal lattice, Mi Dui, diamond.
4. design method according to claim 3, which is characterized in that equal frequencies line curvature refractive index described in step 3
Susceptibility, refer to equal frequencies line curvature to the derivative of photon crystal material refractive index, it is obtained with the method for theoretical calculation, or
Experimentally obtain.
5. design method according to claim 4, which is characterized in that " wait frequencies line degeneracy " described in step 3 and refer to not
With equal frequencies line frequency having the same, this degeneracy includes the degeneracy of same energy band, also including the degeneracy of different energy bands.
6. design method according to claim 5, which is characterized in that the frequencies line curvature such as auto-collimation after optimizing in step 3
The susceptibility of refractive index is greater than 30,For light beam vacuum wavelength.
7. the focal length that the design method as described in one of claim 1-6 obtains substantially adjustable photonic crystal lens.
Priority Applications (2)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710011883.XA CN106842371B (en) | 2017-01-08 | 2017-01-08 | A kind of focal length substantially adjustable photonic crystal lens and its design method |
| PCT/CN2017/115047 WO2018126841A1 (en) | 2017-01-08 | 2017-12-07 | Photonic crystal lens widely adjustable in focal length and design method therefor |
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| Application Number | Priority Date | Filing Date | Title |
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| CN201710011883.XA CN106842371B (en) | 2017-01-08 | 2017-01-08 | A kind of focal length substantially adjustable photonic crystal lens and its design method |
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| CN106842371A CN106842371A (en) | 2017-06-13 |
| CN106842371B true CN106842371B (en) | 2019-05-31 |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN106842371B (en) * | 2017-01-08 | 2019-05-31 | 复旦大学 | A kind of focal length substantially adjustable photonic crystal lens and its design method |
| CN108917925B (en) * | 2018-05-16 | 2020-06-05 | 南京大学 | Multilayer film optical detector based on optical singular point design and detection method thereof |
| CN110750005B (en) | 2018-07-23 | 2021-04-20 | 京东方科技集团股份有限公司 | Display device and display method thereof |
| CN114815323B (en) * | 2022-06-02 | 2023-04-14 | 苏州电光波工业智能科技有限公司 | Photonic crystal frequency modulation method and system |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102231034A (en) * | 2006-12-30 | 2011-11-02 | 中国科学院上海微***与信息技术研究所 | Light beam adjuster using adjustable photonic crystal auto-collimation effect and application thereof |
| CN104678491A (en) * | 2013-11-27 | 2015-06-03 | 中国科学院上海微***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***与信息技术研究所 | Method for designing an ultrahigh-resolution photonic crystal superprism |
| CN105116490A (en) * | 2015-09-16 | 2015-12-02 | 南京邮电大学 | Method for designing focus-length-controllable and one-dimensional photonic crystal flat concave mirror |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US7808716B2 (en) * | 2005-05-16 | 2010-10-05 | Northeastern University | Photonic crystal devices using negative refraction |
| WO2007149853A2 (en) * | 2006-06-23 | 2007-12-27 | Massachusetts Institute Of Technology | Efficient terahertz sources by optical rectification in photonic crystals and metamaterials exploiting tailored transverse dispersion relations |
| CN101055400B (en) * | 2006-12-30 | 2011-12-14 | 中国科学院上海微***与信息技术研究所 | Adjustable photon crystal self-aligning effect light beam adjuster, method and uses |
| CN105425504A (en) * | 2015-12-23 | 2016-03-23 | 山东大学 | Two-dimensional photonic crystal logic OR gate based on auto-collimation interference effect |
| CN106842371B (en) * | 2017-01-08 | 2019-05-31 | 复旦大学 | A kind of focal length substantially adjustable photonic crystal lens and its design method |
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Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102231034A (en) * | 2006-12-30 | 2011-11-02 | 中国科学院上海微***与信息技术研究所 | Light beam adjuster using adjustable photonic crystal auto-collimation effect and application thereof |
| CN104678491A (en) * | 2013-11-27 | 2015-06-03 | 中国科学院上海微***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***与信息技术研究所 | Method for designing an ultrahigh-resolution photonic crystal superprism |
| CN105116490A (en) * | 2015-09-16 | 2015-12-02 | 南京邮电大学 | Method for designing focus-length-controllable and one-dimensional photonic crystal flat concave mirror |
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