Waveguide arrays interaction to second neighbors: Exact solution

2025/01/22 by M. A. Tapia-Valerdi, Tapia-Valerdi, M. A., I. Ramos-Prieto +5 · 1 citation
Engineering · #Antenna Design and Optimization #FOS: Physical sciences #Microwave Engineering and Waveguides #Quantum Physics (quant-ph) #Semiconductor Lasers and Optical Devices

paper · pdf · doi:10.48550/arxiv.2501.12550

openalex publication_date 2025/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide an analytical framework for describing the propagation of light in waveguide arrays, considering both infinite and semi-infinite cases. The interaction up to second neighbors is taken into account, which makes for a more realistic setup. We show that these solutions follow a distinctive structural pattern. This pattern reflects a transition from conventional Bessel functions to the lesser-known one-parameter generalized Bessel functions, offering new insights into the propagation dynamics in these systems.

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