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 is “twistable” if and only if the zeroth-order Hankel transform of the radial function (with being the twist strength) turns out to be a well-defined, non-negative function.
© 2018 Optical Society of America
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