Reciprocity inequalities (uncertainty relations) are studied for a finite light pulse with complex spatio-temporal structure and for statistical ensemble of such pulses. A possibility to create partially coherent pulses (and ensembles) with parameters close to minima of these inequalities both in temporal and spatial domains are discussed. The structure of optimal beams is analyzed from point of view of modal treatment of coherence (biorthogonal KarhunenLoéve expansion).
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