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The holographic system is usually used for imaging, so it can be attributed to imaging optical systems. This analogy allows using a well-developed computational optics technique to design and analyze real digital holographic systems, as well as to solve the measuring tasks of digital holography. The work presents a mathematical model that establishes a one-to-one correspondence between dimensional and spatial parameters of a digital holographic image and a holographing object for the given case of an in-line scheme. The values of the model constants used to determine the real size and the longitudinal coordinate of an object according to its holographic image are found through calibration. The described approach is used to calibrate and analyze the imaging properties of a submersible digital holographic camera designed to study plankton in its habitat. The paper also shows the results obtained in situ using the holographic sensor of plankton.
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Victor Dyomin, Alexandra Davydova, Igor Polovtsev, Alexey Olshukov, "Digital hologram as a display optical system," Proc. SPIE 11710, Practical Holography XXXV: Displays, Materials, and Applications, 117100B (5 March 2021); https://doi.org/10.1117/12.2577727