Revisit to comparison of numerical reconstruction of digital holograms using angular spectrum method and Fresnel diffraction method
In digital holography, two most frequently used numerical reconstruction methods are angular spectrum method (ASM) and Fresnel diffraction method (FDM). Both methods suffer from limitation of propagation distance as ASM is applicable for short distances, while FDM is suitable for long propagation distances. In this article, we revisit our previous work (Dwivedi et al. in J Opt. https://doi.org/10.1007/s12596-017-0424-z ) in which we compared ASM and FDM. Here, we made corrections in the equations of numerical reconstruction and distance constraint in ASM. These corrections rectify the error of size variation of reconstructed images with change in recording and corresponding reconstruction propagation distances in ASM. This paper aims to further improve the understanding of both the numerical reconstruction methods and fix limitations of previous work. In present work, we use transparent and diffuse objects to record digital holograms. Apart from results on numerical reconstruction of digital holograms, we also discuss results of reconstruction after filtering in Fourier domain using ASM and FDM and zero padding in ASM. This paper presents an extensive analysis, comparison and suitability of both numerical reconstruction methods for particular applications.
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