Waveguide arrays interaction to second neighbors: Exact solution
Quantum Physics
2025-01-23 v1
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.
Cite
@article{arxiv.2501.12550,
title = {Waveguide arrays interaction to second neighbors: Exact solution},
author = {M. A. Tapia-Valerdi and I. Ramos-Prieto and F. Soto-Eguibar and H. M. Moya-Cessa},
journal= {arXiv preprint arXiv:2501.12550},
year = {2025}
}