The birth of digital holography was declared in 1971, the year that the Nobel Prize was awarded to Dennis Gabor for holography’s invention. Just as optical holography is a technique for optical recording, processing and reconstruction of wavefields, digital holography is the analysis, synthesis and simulation of wavefields in digital computers and processors. One of the most fundamental problems of digital holography is that of adequate and accurate representation of optical signals and transforms in digital computers. In this chapter, we review basic principles of such a representation applied to discrete representation of optical transforms such as convolution, Fourier and Fresnel integral transforms.
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