%0 Journal Article
%A Martínez Herrero, María Rosario
%A Santarsiero, Massimo
%A Piquero Sanz, Gemma María
%A González de Sande, Juan Carlos
%T A new type of shape-invariant beams with structured coherence: Laguerre-Christoffel-Darboux beams
%D 2021
%@ 2604-6732
%U https://hdl.handle.net/20.500.14352/8136
%X A new class of sources presenting structured coherence properties is introduced and analyzed. They are obtained as the incoherent superposition of coherent Laguerre-Gaussian modes with suitable coefficients. This ensures that the shape of the intensity profile and the spatial coherence features of the propagated beams are invariant during paraxial approximation. A simple analytical expression is obtained for the cross-spectral density of the sources of this class, regardless of the number of superposed modes. Properties of these sources are analyzed and described by several examples.
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