Photonic Crystal Supporting High Frequency Sensitivity Self-collimation Phenomenon and Design Method and Use thereof

Patent metadata

Field	Value
Publication number	US-2016259090-A1
Application number	US-201414761612-A
Country	US
Kind code	A1
Filing date	Mar 28, 2014
Priority date	Nov 27, 2013
Publication date	Sep 8, 2016
Grant date	—

Abstract

The present invention provides a photonic crystal supporting high frequency sensitivity self-collimation phenomenon and design method and use thereof. The photonic crystal supporting high frequency sensitivity self-collimation phenomenon has a periodic distribution of refractive index formed by at least two kinds of materials; there exists straight equi-frequency contours or flat equi-frequency surfaces in a certain band in a dispersion space of the photonic crystal, and the change rate of curvatures of the equi-frequency contours or the equi-frequency surfaces with frequencies around the frequency of straight equi-frequency contours or flat equi-frequency surfaces is at least increased at least 50 times than the change rate in vacuum. For the photonic crystal of the present invention is used for controlling diffracted intensity of light beam, detecting refractive index and the like.

First claim

1 . A photonic crystal supporting high frequency sensitivity self-collimation phenomenon, characterized in that:
it has a periodic distribution of refractive index formed by at least two kinds of materials; there exists straight equi-frequency contours or flat equi-frequency surfaces in a certain band in the dispersion space of the photonic crystal, and the change rate of curvatures of the equi-frequency contours or the equi-frequency surfaces with frequencies around the frequency of straight equi-frequency contours or flat equi-frequency surfaces is increased at least 50 times than the change rate in vacuum.

2 . A design method for the photonic crystal supporting high frequency sensitivity self-collimation phenomenon, characterized in that, the design method for the photonic crystal supporting high frequency sensitivity self-collimation phenomenon at least includes:
a) Based on the types of crystal lattice, material and structural parameters of the photonic crystal, calculating the dispersion relation of the photonic crystal, so as to form equi-frequency contours and to determine a candidate photonic crystal that exists a self-collimation point and one or more van Hove singularities inside the Brillouin zone within the same band, the material parameter of the photonic crystal comprises refractive indexes of various materials that constitutes the photonic crystal, the structural parameter of the photonic crystal comprises shapes and sizes of various materials that constitutes the photonic crystal and lattice lengths of each directions thereof, the types of the van Hove singularities inside the Brillouin zone comprises one or more of saddle-point-type van Hove singularities, a maximum-point-type van Hove singularities and minimum-point-type van Hove singularities; b) Change each material and structural parameter of the candidate photonic crystal, recalculating the dispersion relation to form equi-frequency contours and to determine the key parameter of the photonic crystal, wherein, the key parameter of the photonic crystal refers to, the material and/or structural parameter of the photonic crystal as its value changes, it enables the van Hove singularities move close to or away from the self-collimation point; c) Based on the dispersion relation around the self-collimation point, determining the distribution of the self-collimation frequency sensitivity γ with the key parameter of the photonic crystal; d) Selecting a required self-collimation frequency sensitivity determining the value of the key parameter of the photonic crystal and the value of other structural and material parameters of the photonic crystal according to the distribution of the self-collimation frequency sensitivity with the key parameter of the photonic crystal.

3 . The design method for the photonic crystal supporting high frequency sensitivity self-collimation phenomenon according to claim 2 , characterized in that, calculate the dispersion relation of the photonic crystal, based on the types of crystal lattice, material and structural parameters of the photonic crystal, and by adopting one of the plane wave expansion method, the FDTD method, and the finite element method.

4 . The design method for the photonic crystal supporting high frequency sensitivity self-collimation phenomenon according to claim 2 , characterized in that, the self-collimation frequency sensitivity is:

γ
=

(

1

c


/



ω
2

)



∂
κ



/



∂
ω



|

ω
=

ω
sc

,

k
1

=
0

=

(

1

c


/



ω
2

)



∂
3


ω

∂

k
2



∂

k
1
2



/



u
g
2



|

ω
=

ω
sc

,

k
1

=
0

,

wherein, κ represents curvature of the equi-frequency contour, ω represents a frequency of the equi-frequency contour, ω sc is the frequency of the self-collimation point, k 1 represents the wavevector component parallel with the s

Assignees

• Shanghai Inst Microsystem & Information Tech Cas
• Univ Fudan
• Shanghai Inst Of Microsystem And Information Tech Chinese Acad

Inventors

• Jiang Xunya
• Lin Xulin
• Zhang Xiaogang
• Li Wei
• Chen Liang

Classifications

• G02F1/3511

  Self-focusing or self-trapping of light; Light-induced birefringence; Induced optical Kerr-effect · CPC title

• G02B1/005 Primary

  made of photonic crystals or photonic band gap materials (photonic band-gap structures or photonic lattices in integrated optics G02B6/1225; photonic band-gap structures or photonic lattices in optical fibres G02B6/02295) · CPC title

• G02F2202/30

  Metamaterials · CPC title

• G02B6/1225 Primary

  comprising photonic band-gap structures or photonic lattices · CPC title

• G02B27/0012

  Optical design, e.g. procedures, algorithms, optimisation routines · CPC title