Generalized Finite Differences Method Applied to Finite Photonic Crystal
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866917249577648128 |
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| author | Bustamante, Santiago Marulanda, Esteban Mahecha, Jorge Vinck, Herbert |
| author_facet | Bustamante, Santiago Marulanda, Esteban Mahecha, Jorge Vinck, Herbert |
| contents | We propose a Generalized Finite-Differences in the Frequency Domain method for the computation of photonic band structures of finite photonic crystals. Our approach is to discretize some fundamental domain instead of a single unit cell, such that boundary conditions of interest can be introduced into the eigenvalue problem. The validity and effectiveness of the proposed method are shown for the case of a one-dimensional photonic crystal embedded in an optical cavity. The limit from finite to infinite photonic crystals is reviewed in view of the proposed method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_06671 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Generalized Finite Differences Method Applied to Finite Photonic Crystal Bustamante, Santiago Marulanda, Esteban Mahecha, Jorge Vinck, Herbert Computational Physics Optics We propose a Generalized Finite-Differences in the Frequency Domain method for the computation of photonic band structures of finite photonic crystals. Our approach is to discretize some fundamental domain instead of a single unit cell, such that boundary conditions of interest can be introduced into the eigenvalue problem. The validity and effectiveness of the proposed method are shown for the case of a one-dimensional photonic crystal embedded in an optical cavity. The limit from finite to infinite photonic crystals is reviewed in view of the proposed method. |
| title | Generalized Finite Differences Method Applied to Finite Photonic Crystal |
| topic | Computational Physics Optics |
| url | https://arxiv.org/abs/2312.06671 |