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Tailoring on-axis spectral density with circularly coherent light beams

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Publication Date
2022-05-15
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Korotkova, O.
de Sande, J. C. G.
Santarsiero, Massimo
Martínez Herrero, Rosario
Gori, Franco
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Optica Publishing Group
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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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© 2022 Optica Publishing Group. Funding. Ministerio de Economía y Competitividad (PID2019-104268 GB-C21).
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