The Fourier Transform and Mathematical Preliminaries

  • Kyoji MatsushimaEmail author
Part of the Series in Display Science and Technology book series (SDST)


The Fourier transform plays an important role in wave optics and computer holography. Thus, the Fourier transform and related mathematical topics such as convolution, correlation, sampling theorem, symmetry relations, and so forth are introduced in this chapter. These are also preliminaries to discussion on diffraction and field propagation. As with the preceding chapter, we put importance on the discrete form of the Fourier transform, DFT/FFT. The technique to make use of existing FFT libraries is presented for actual computation in wave optics and computer holography.

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Faculty of System EngineeringKansai UniversityOsakaJapan

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