Three-dimensional Arbitrary Electromagnetic Fields and Temporal Propagation
Optics
2025-05-21 v1
Abstract
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.
Cite
@article{arxiv.2505.14636,
title = {Three-dimensional Arbitrary Electromagnetic Fields and Temporal Propagation},
author = {Jordan M. Adams and Daniel M. Heligman},
journal= {arXiv preprint arXiv:2505.14636},
year = {2025}
}