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arXiv · 2501.13566

Tailoring on-axis spectral density with circularly coherent light beams

O. Korotkova·J. C. de Sande·M. Santarsiero·R. Martinez-Herrero·G. Piquero·F. Gori
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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.

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O. Korotkova, J. C. de Sande, M. Santarsiero, R. Martinez-Herrero, G. Piquero, F. Gori. 2025-01-23. Tailoring on-axis spectral density with circularly coherent light beams. https://arxiv.org/abs/2501.13566

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