Universal behavior of the scattering matrix near thresholds in photonics
Optics
2022-01-12 v1
Abstract
Scattering thresholds and their associated spectral square root branch points are ubiquitous in photonics. In this Letter, we show that the scattering matrix has a simple universal behavior near scattering thresholds. We use unitarity, reciprocity, and time-reversal symmetry to construct a two-parameter model for a two-port scattering matrix near a threshold. We demonstrate this universal behavior in three different optical systems, namely a photonic crystal slab, a planar dielectric interface, and a junction between metallic waveguides of different widths.
Keywords
Cite
@article{arxiv.2107.02321,
title = {Universal behavior of the scattering matrix near thresholds in photonics},
author = {Charles C. Wojcik and Haiwen Wang and Meir Orenstein and Shanhui Fan},
journal= {arXiv preprint arXiv:2107.02321},
year = {2022}
}
Comments
10 pages, 5 figures