Investigation of band structures for 2D non-diagonal anisotropic photonic crystals using a finite element method...

Area of Science:

• * Computational physics and materials science.
• * Focus on optical and electromagnetic properties of engineered materials.

Background:

• * Photonic crystals offer unique light manipulation capabilities.
• * Anisotropy in materials complicates the analysis of their optical properties, particularly band structures.

Purpose of the Study:

• * To develop and apply a finite element method (FEM) based eigenvalue algorithm.
• * To analyze the in-plane band structures of two-dimensional (2D) non-diagonal anisotropic photonic crystals.
• * To investigate the influence of material anisotropy on photonic crystal band structures.

Main Methods:

• * Development of a finite element method (FEM) based eigenvalue algorithm.
• * Analysis of band structures for square and triangular lattices composed of anisotropic materials.
• * Examination of in-plane wave propagation characteristics.

Main Results:

• * Detailed examination of band structure characteristics for square and triangular anisotropic photonic crystals.
• * Discovery of intrinsic effects of anisotropy on band structure formation.
• * Identification of interesting relationships in band structures for specific wave vector directions within the first Brillouin zone.

Conclusions:

• * The developed FEM algorithm effectively analyzes band structures in 2D anisotropic photonic crystals.
• * A theoretical explanation for observed band structure relationships is provided.
• * The findings facilitate the convenient construction of complete band structures by leveraging discovered concepts.