Refractive index profiles for a $\mathcal{PT}$-symmetric optical structure
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914848889110528 |
|---|---|
| author | Bagchi, Bijan Ghosh, Rahul Sen, Sauvik |
| author_facet | Bagchi, Bijan Ghosh, Rahul Sen, Sauvik |
| contents | By mapping the scalar Helmholtz equation (SHE) to the Schrodinger 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 Schrodinger 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_01608 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Refractive index profiles for a $\mathcal{PT}$-symmetric optical structure Bagchi, Bijan Ghosh, Rahul Sen, Sauvik Quantum Physics General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics By mapping the scalar Helmholtz equation (SHE) to the Schrodinger 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 Schrodinger 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. |
| title | Refractive index profiles for a $\mathcal{PT}$-symmetric optical structure |
| topic | Quantum Physics General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2212.01608 |