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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.14636 |
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| _version_ | 1866909617580146688 |
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| author | Adams, Jordan M. Heligman, Daniel M. |
| author_facet | Adams, Jordan M. Heligman, Daniel M. |
| contents | We show that arbitrary 3D electromagnetic fields are transient solutions to Maxwell's equations and provide a simple equation to find how the field evolves over time. Multiple 3D fields can be realized at different times by superposing with an initial phase. Phase optimization algorithms allow for a phase-only modulated input signal. The necessary input wavepacket before a focus lens to create the 3D field can be found by finding the time-variation through a spatial plane. These results provide a way for designing arbitrary transient 3D waves and finding the wavepacket needed to input into a focusing lens. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14636 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Three-dimensional Arbitrary Electromagnetic Fields and Temporal Propagation Adams, Jordan M. Heligman, Daniel M. Optics We show that arbitrary 3D electromagnetic fields are transient solutions to Maxwell's equations and provide a simple equation to find how the field evolves over time. Multiple 3D fields can be realized at different times by superposing with an initial phase. Phase optimization algorithms allow for a phase-only modulated input signal. The necessary input wavepacket before a focus lens to create the 3D field can be found by finding the time-variation through a spatial plane. These results provide a way for designing arbitrary transient 3D waves and finding the wavepacket needed to input into a focusing lens. |
| title | Three-dimensional Arbitrary Electromagnetic Fields and Temporal Propagation |
| topic | Optics |
| url | https://arxiv.org/abs/2505.14636 |