Abstract
Simultaneous control of the far-field spectral density distribution, together with the modulus and the phase of the complex degree of coherence of a beam radiated by a stationary source, is hard to achieve in view of the intrinsic constraints on the source cross-spectral density. We tackle this problem by employing the Laguerre-Gaussian modes instead of the commonly used Gaussian mode for the source field realizations, in combination with structuring the degree of source coherence radiating to spectral density arrays. We show that the produced spectral density arrays with Cartesian and polar symmetries have special features in both the modulus and the phase of the complex degree of coherence.
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