The Impact of Finite Size Effects on the Transmission of Electromagnetic Waves in a Defected, Perforated Waveguide

Abstract

This study investigates the impact of finite size effects on the transmission of electromagnetic waves through a defected, perforated two-dimensional waveguide. The research focuses on how transmission characteristics are affected by the number of perforations surrounding a point defect. As the number of perforations increases, the waveguide gradually acquires properties similar to those of an ideal photonic crystal. However, unlike the infinite photonic crystals often assumed in theoretical models, our waveguide has finite dimensions, leading to unique boundary effects. The paper outlines the thresholds at which the finite size effects become prominent, analyzing their influence on wave propagation and transmission efficiency. Theoretical analysis is employed to identify critical points where the finite size alters expected outcomes, providing a deeper insight into the practical limitations and design potential of photonic waveguide-based devices.