Publication: A new type of shape-invariant beams with structured coherence: Laguerre-Christoffel-Darboux beams
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Publication Date
2021-04-20
Authors
Martínez Herrero, Rosario
Santarsiero, Massimo
González de Sande, Juan Carlos
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MDPI
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Abstract
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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© 2021 by the authors.
The authors wish to thank F. Gori for his useful suggestions.