%0 Journal Article %A Korotkova, O. %A de Sande, J. C. G. %A Santarsiero, Massimo %A Martínez Herrero, María Rosario %A Piquero Sanz, Gemma María %A Gori, Franco %T Tailoring on-axis spectral density with circularly coherent light beams %D 2022 %@ 0146-9592 %U https://hdl.handle.net/20.500.14352/71586 %X 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. %~