Abstract
We have recently proposed a method of obtaining many spectral components of complex holograms under incoherent illumination. This method is based on the measurement of five-dimensional interferograms and signal processing including synthetic aperture processing. In this paper, we report the relationship between the selection rules used for synthetic aperture processing and the generated volume interferograms. As a result of our systematic study, we find six types of selection rule and generate volume interferograms that are the most important and basic. We discuss the benefits of using each selection rule and the three-dimensional (3D) imaging properties of retrieval imaging obtained from these volume interferograms. A new noise reduction method based on these six types of selection rules is also proposed.
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