Accurate paraxial Maxwell beams
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913766260604928 |
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| author | Radozycki, Tomasz |
| author_facet | Radozycki, Tomasz |
| contents | In this work, the paraxial version of Maxwell equations is derived with the use of two Riemann-Silberstein vectors. Exact solutions of these equations are then obtained representing the paraxial electromagnetic fields. These fields satisfy the full Maxwell equations up to the order of $(λ/w_0)^2$. The solutions contain some additional terms, which turn out to be relevant for polarization, especially in the case of beams endowed with orbital angular momentum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23195 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Accurate paraxial Maxwell beams Radozycki, Tomasz Optics In this work, the paraxial version of Maxwell equations is derived with the use of two Riemann-Silberstein vectors. Exact solutions of these equations are then obtained representing the paraxial electromagnetic fields. These fields satisfy the full Maxwell equations up to the order of $(λ/w_0)^2$. The solutions contain some additional terms, which turn out to be relevant for polarization, especially in the case of beams endowed with orbital angular momentum. |
| title | Accurate paraxial Maxwell beams |
| topic | Optics |
| url | https://arxiv.org/abs/2503.23195 |