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arXiv · 2501.12550

Waveguide arrays interaction to second neighbors: Exact solution

M. A. Tapia-Valerdi·I. Ramos-Prieto·F. Soto-Eguibar·H. M. Moya-Cessa
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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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M. A. Tapia-Valerdi, I. Ramos-Prieto, F. Soto-Eguibar, H. M. Moya-Cessa. 2025-01-22. Waveguide arrays interaction to second neighbors: Exact solution. https://arxiv.org/abs/2501.12550

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