Refractive index profiles for a $\mathcal{PT}$-symmetric optical structure
- URL: http://arxiv.org/abs/2212.01608v2
- Date: Tue, 7 May 2024 14:05:19 GMT
- Title: Refractive index profiles for a $\mathcal{PT}$-symmetric optical structure
- Authors: Bijan Bagchi, Rahul Ghosh, Sauvik Sen,
- Abstract summary: We investigate the behaviour of $mathcalPT$ optical structure when the refractive index distribution $n$ admits variation in the longitudinal direction only.
We also obtain new analytical solutions for the refractive index profiles and provide graphical illustrations for them.
- Score: 2.2120851074630177
- License: http://creativecommons.org/publicdomain/zero/1.0/
- 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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