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arXiv · 2212.01608

Refractive index profiles for a $\mathcal{PT}$-symmetric optical structure

Bijan Bagchi·Rahul Ghosh·Sauvik Sen
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Abstract

By mapping the scalar Helmholtz equation (SHE) to the Sch\"{r}odinger form we investigate the behaviour of $\mathcal{PT}$ optical structure when the refractive index distribution $n$ admits variation in the longitudinal direction only. Interpreting the Sch\"{r}odinger equation in terms of a superpotential we determine the supersymmetric partners for $n$. We also obtain new analytical solutions for the refractive index profiles and provide graphical illustrations for them.

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Bijan Bagchi, Rahul Ghosh, Sauvik Sen. 2022-12-03. Refractive index profiles for a $\mathcal{PT}$-symmetric optical structure. https://doi.org/10.1142/s0217732324500822

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