Filtering and Guiding Electromagnetic Waves with a Fibonacci-Inspired Staircase Comb-Like Structure

Abstract

This study investigates the electromagnetic wave filtering and guiding properties of a novel Fi-bonacci-type staircase comb-like structure. Leveraging the unique quasi-periodic geometry inspired by Fibonacci sequences, the structure exhibits tunable photonic band gaps and resonance phenomena. Through rigorous numerical simulations and analytical modeling, we explore the impact of geometric parameters on transmission, reflection, and propagation characteristics across a wide frequency range. Results demonstrate the structure’s ability to achieve selective frequency filtering and efficient waveguiding, with potential applications in photonic devices such as multi-channel filters, sensors, and integrated optical circuits. The findings underline the versatility of Fibonacci-based designs in engineering advanced photonic systems.