Abstract

This study investigates the spatial electric field and band diagram of 2D photonic crystals using COMSOL simulation. This paper establishes two models to analyze the characteristics of photonic crystals. The first model involves digging seven standard round air columns from hexagonal graphene material and filling a central air column with tin oxide medium. The air columns disrupt the overall periodicity, and the electron wave function in the electric field graph is localized around the six air columns. The second model consists of six standard round tin oxide dielectric columns and a middle standard round graphene dielectric column, separated by air. The overall periodicity is disrupted, and the electron wave function in the electric field graph is localized around the six-tin oxide dielectric columns. This paper finds that disordered impurities in the 2D crystal structure can disrupt the periodicity of the lattice, leading to the localization of the electric field. These discoveries enhance our comprehension of the characteristics of photonic crystals and their possible uses in diverse domains.

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