Refractive index profiles for a $\mathcal{PT}$-symmetric optical structure
Quantum Physics
2024-06-27 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
By mapping the scalar Helmholtz equation (SHE) to the Sch\"{r}odinger form we investigate the behaviour of optical structure when the refractive index distribution admits variation in the longitudinal direction only. Interpreting the Sch\"{r}odinger equation in terms of a superpotential we determine the supersymmetric partners for . We also obtain new analytical solutions for the refractive index profiles and provide graphical illustrations for them.
Keywords
Cite
@article{arxiv.2212.01608,
title = {Refractive index profiles for a $\mathcal{PT}$-symmetric optical structure},
author = {Bijan Bagchi and Rahul Ghosh and Sauvik Sen},
journal= {arXiv preprint arXiv:2212.01608},
year = {2024}
}
Comments
10 pages; 3 figures. Accepted for publication in Mod. Phys. Lett. A