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The Siegert relationship is an important tool in biomedical optics to infer statistics of temporal field fluctuations from observations of intensity fluctuations. The Siegert relationship derivation assumes dynamic Gaussian fields with zero mean. To accommodate a non-ergodic or static field, a modification of the Siegert relationship is often invoked. We show that conventional forms of the modified Siegert relationship, which assume that the coherence factor of dynamic fields also determines mutual coherence between dynamic and static fields, are incorrect in general. We propose a more general form of the modified Siegert relationship and validate it experimentally.
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Wenjun Zhou, Mingjun Zhao, Vivek J. Srinivasan, "A generalized form of the modified Siegert relationship," Proc. SPIE PC12841, Dynamics and Fluctuations in Biomedical Photonics XXI, PC128410I (13 March 2024); https://doi.org/10.1117/12.2692932