In this paper the theoretical description of the imaging process of a coherence-controlled holographic microscope
(CCHM) is carried out for the case when the object beam is influenced by a scattering medium (a diffuser)
present between an observed object and an objective lens of the microscope. The calculation is based on the
decomposition of the diffuser transmission function into its frequency components. The complete holographic
image is then computed as the superposition of holographic images for individual frequency components. The
dependence of fundamental imaging characteristics on the coherence state of an illumination is demonstrated.
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