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Design method of large complete photon band gap photonic crystal under low refractivity

A technology of complete photonic band gap and photonic crystal, which is applied in optics, optical components, instruments, etc., can solve the problems of non-existence and small complete band gap of photonic crystal, and achieve the effect of improving optical performance

Active Publication Date: 2019-02-12
SOUTH CENTRAL UNIVERSITY FOR NATIONALITIES
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  • Abstract
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  • Claims
  • Application Information

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Problems solved by technology

[0008] At present, it is also generally believed that the complete band gap of photonic crystals is very small or does not exist at low refractive index ratios, and there is a lack of an effective design method for designing photonic crystals with complete photonic band gaps at low refractive index ratios

Method used

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  • Design method of large complete photon band gap photonic crystal under low refractivity
  • Design method of large complete photon band gap photonic crystal under low refractivity
  • Design method of large complete photon band gap photonic crystal under low refractivity

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Effect test

Embodiment 1

[0101] In the cell structure of the connecting rod photonic crystal around the ring hole of the triangular lattice, the outer radius of the first high refractive index ring dielectric column is 1.08a, the inner radius is 0.65a, and the six first high refractive index connecting rod dielectric columns The widths are all 0.1a; the relative value of the first unit cell corresponding to the maximum complete photonic bandgap is 9.315669% when the refractive index ratio is 2.4.

Embodiment 2

[0103] In the cell structure of the connecting rod photonic crystal around the triangular lattice annular hole, the outer radius of the first high refractive index ring dielectric column is 0.91a, the inner radius is 0.4a, and the six first high refractive index connecting rod dielectric columns The widths are all 0.02a; when the refractive index ratio of the first unit cell is 3.1, the relative value corresponding to the maximum complete photonic bandgap is 20.27089%.

Embodiment 3

[0105] The outer radius of the first high-refractive-index annular dielectric column in the triangular lattice annular hole peripheral connecting rod photonic crystal cell structure is 1.145a, the inner radius is 0.7a, and the width of the six first high-refractive index connecting-rod dielectric columns Both are 0.14a; the relative value of the first unit cell corresponding to the maximum complete photonic bandgap is 3.820089% when the refractive index ratio is 2.2.

[0106] see Figure 4 , it can be seen that:

[0107] For the photonic crystal with connecting rods around the annular hole formed by the first unit cell:

[0108] At higher refractive index ratios between 3.0 and 3.5, both the low-order energy bands "B5-6" and the high-order energy bands "B8-9" and "B11-12" have relatively large band gaps , but the lower-order energy bands "B5-6" have larger band gaps than the higher-order energy bands "B8-9" and "B11-12".

[0109] As the refractive index ratio decreases, the...

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Abstract

The invention discloses a design method of a large complete photon band gap photonic crystal under low refractivity, and relates to the field of photonic crystals. The method mainly comprises the steps of (1) dividing a cell of the photonic crystal into corresponding pixel points according to required accuracy; (2) substituting a shape structure of a high- and low-refractivity material in the cellby binary distribution of the pixel points; (3) performing iteration on the pixel binary distribution by an iterative algorithm, and seeking an appropriate cell structure; (4) describing and expressing the obtained cell structure with numerical value size; and (5) increasing energy band calculation number, and calculating a normalization band gap of the photonic crystal corresponding to the cellby a numerical value method. The cell of the large complete photon band gap photonic crystal is a first cell, and the first cell is in a hexagonal shape and comprises a first boundary, a first low-refractivity background material, a first high-refractivity circular ring dielectric cylinder and a first high-refractivity circular ring dielectric cylinder. By using the design method, the complete photon band gap can be obtained under the low refractivity, and control of a light wave can be achieved within a large wavelength range.

Description

technical field [0001] The invention relates to the field of photonic crystals, in particular to a design method of a photonic crystal with a large complete photonic band gap under a low refractive index ratio. Background technique [0002] In 1987, E. Yablonovitvh of Bell Laboratories in the United States independently proposed the concept of Photonic Crystal (PC) when discussing how to suppress spontaneous emission and S.John of Princeton University when discussing the photonic region. Photonic crystals are dielectric structures made up of different dielectric materials arranged in a certain period in space. They have photonic energy bands and photonic forbidden bands, which can control and adjust the propagation of light. [0003] The photonic crystal band gap means that light waves in a certain frequency range cannot propagate in the periodic structure of photonic crystals. This enables photonic crystals to have the function of wavelength selection, which can selectivel...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G02B1/00
CPCG02B1/005
Inventor 侯金姚怡杨春勇陈少平
Owner SOUTH CENTRAL UNIVERSITY FOR NATIONALITIES