Tailoring on-axis spectral density with circularly coherent light beams
Optics
2025-01-24 v1
Abstract
The on-axis cross-spectral density (CSD) of a beam radiated by a stationary source with a circular coherence state and a Gaussian spectral density is obtained in the closed form. It is revealed that the on-axis CSD is expressed via the Laplace transform of the source's degree of coherence or the Hilbert transform of the corresponding pseudo-mode weighting function. Such relations enable efficient tailoring of the on-axis spectral density, as we show with a slew of numerical examples.
Cite
@article{arxiv.2501.13566,
title = {Tailoring on-axis spectral density with circularly coherent light beams},
author = {O. Korotkova and J. C. de Sande and M. Santarsiero and R. Martinez-Herrero and G. Piquero and F. Gori},
journal= {arXiv preprint arXiv:2501.13566},
year = {2025}
}