Twisted Gaussian Schell-model beams were introduced 25 years ago as a celebrated example of a “genuinely two-dimensional” partially coherent wavefield. Today, a definite answer about the effect that a twist phase should produce on an arbitrary cross-spectral density has not yet been reached. In the present Letter, the necessary and sufficient condition for a typical Schell-model partially coherent CSD endowed with axial symmetry to be successfully mapped onto a bonafide twisted CSD is addressed. In particular, it is proved that any shift-invariant degree of coherence of the form μjr1− r2j is “twistable” if and only if the zeroth-order Hankel transform of the radial function μr expur2∕2 (with u being the twist strength) turns out to be a well-defined, non-negative function.

Borghi, R. (2018). Twisting partially coherent light. OPTICS LETTERS, 43(8), 1627-1630 [10.1364/OL.43.001627].

Twisting partially coherent light

Borghi, Riccardo
2018-01-01

Abstract

Twisted Gaussian Schell-model beams were introduced 25 years ago as a celebrated example of a “genuinely two-dimensional” partially coherent wavefield. Today, a definite answer about the effect that a twist phase should produce on an arbitrary cross-spectral density has not yet been reached. In the present Letter, the necessary and sufficient condition for a typical Schell-model partially coherent CSD endowed with axial symmetry to be successfully mapped onto a bonafide twisted CSD is addressed. In particular, it is proved that any shift-invariant degree of coherence of the form μjr1− r2j is “twistable” if and only if the zeroth-order Hankel transform of the radial function μr expur2∕2 (with u being the twist strength) turns out to be a well-defined, non-negative function.
2018
Borghi, R. (2018). Twisting partially coherent light. OPTICS LETTERS, 43(8), 1627-1630 [10.1364/OL.43.001627].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/349754
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