Waveguide arrays interaction to second neighbors: Exact solution
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866929683878117376 |
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| author | Tapia-Valerdi, M. A. Ramos-Prieto, I. Soto-Eguibar, F. Moya-Cessa, H. M. |
| author_facet | Tapia-Valerdi, M. A. Ramos-Prieto, I. Soto-Eguibar, F. Moya-Cessa, H. M. |
| contents | We provide an analytical framework for describing the propagation of light in waveguide arrays, considering both infinite and semi-infinite cases. The interaction up to second neighbors is taken into account, which makes for a more realistic setup. We show that these solutions follow a distinctive structural pattern. This pattern reflects a transition from conventional Bessel functions to the lesser-known one-parameter generalized Bessel functions, offering new insights into the propagation dynamics in these systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12550 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Waveguide arrays interaction to second neighbors: Exact solution Tapia-Valerdi, M. A. Ramos-Prieto, I. Soto-Eguibar, F. Moya-Cessa, H. M. Quantum Physics We provide an analytical framework for describing the propagation of light in waveguide arrays, considering both infinite and semi-infinite cases. The interaction up to second neighbors is taken into account, which makes for a more realistic setup. We show that these solutions follow a distinctive structural pattern. This pattern reflects a transition from conventional Bessel functions to the lesser-known one-parameter generalized Bessel functions, offering new insights into the propagation dynamics in these systems. |
| title | Waveguide arrays interaction to second neighbors: Exact solution |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2501.12550 |