Abstract

We study effective spatial and angular correlations in beams of any state of spatial coherence, and we introduce a phase-space product, Q , which takes these correlations into account. This phase-space product is shown to reduce to the conventional beam-quality factor M<sup>2</sup> when the beam is spatially fully coherent. We also determine the lower bound for the value of Q and demonstrate that it is attained for all Gaussian Schell-model beams.

© 2001 Optical Society of America

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