Tailoring on-axis spectral density with circularly coherent light beams

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 th...

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Veröffentlicht in:	Optics letters 2022-05, Vol.47 (10), p.2394-2397
Hauptverfasser:	Korotkova, O, de Sande, J C G, Santarsiero, M, Martínez-Herrero, R, Piquero, G, Gori, F
Format:	Artikel
Sprache:	eng
Schlagworte:	Coherent light Density Hilbert transformation Laplace transforms Light beams Weighting functions
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creator	Korotkova, O de Sande, J C G Santarsiero, M Martínez-Herrero, R Piquero, G Gori, F
description	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.
doi_str_mv	10.1364/OL.458262
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subjects	Coherent light Density Hilbert transformation Laplace transforms Light beams Weighting functions
title	Tailoring on-axis spectral density with circularly coherent light beams
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