Liquid crystal filled photonic crystal fiber analysis method based on full-wave mixed spectral element method

Abstract

The invention discloses a liquid crystal filled photonic crystal fiber analysis method based on a full-wave mixed spectral element method, and relates to photonic crystal fibers. The method includes selecting a calculation area without repeated calculation according to a solid model, performing mesh generation of limited sub-domains on the calculation area, and dividing each sub-domain unit into aquadrilateral structure; using a mode of combining a full-wave Helmholtz equation and a Gaussian law, constructing a primary function by a Gaussian-Legendre-Lobatto polynomial, and obtaining the energy band characteristic of the complex medium photonic crystal in a full-wave calculation mode of mutually coupling a TM mode and a TE mode, and the method can inhibit the generation of a zero pseudo mode. Different photonic band gaps under different parameters can be obtained by calculating the liquid crystal filled photonic crystal through a full-wave mixed spectral element method, that is, the photonic crystal fiber can flexibly control the transmission spectrum, and the problem that the transmission characteristic of a traditional photonic crystal fiber cannot be changed any more once the photonic crystal fiber is drawn is solved.

Description

technical field [0001] The invention relates to a photonic crystal fiber, in particular to a liquid crystal filled photonic crystal fiber analysis method based on a full-wave mixed spectrum element method. Background technique [0002] Photonic crystal fibers are usually composed of a single material (such as undoped quartz or polymer), and there are periodically distributed micron-scale air holes in the two-dimensional direction of the fiber cross section. Photonic crystal fiber has the characteristics of unlimited single-mode, low loss, and microstructure design and modification, and has attracted much attention in recent years (Du Muqing, Zhang Lingli, Liu Yongjun. The influence of liquid crystal and its different filling structures on the transmission characteristics of photonic crystal fiber[J] . Liquid Crystal and Display, 2018,33(02):116-122.). The transmission characteristics of photonic crystal fiber will not change after the photonic crystal fiber is drawn, which ...

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Problems solved by technology

However, photonic crystals are not in the diagonal form in the case of anisotropic permittivity and permeability tensors, and the above numerical methods cannot obtain the correct band structure by separating the TE and TM modes

If the numerical pseudo mode and the physical mode are mixed together, the above numerical values ​​cannot be distinguished and the correct solution can be selected

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