Ubiquity of Fourier transformation in optical sciences

@inproceedings{Mansuripur2021UbiquityOF,
  title={Ubiquity of Fourier transformation in optical sciences},
  author={Masud Mansuripur},
  booktitle={Optical Engineering + Applications},
  year={2021}
}
  • M. Mansuripur
  • Published in
    Optical Engineering…
    4 August 2021
  • Physics
This paper contains a transcript of my presentation at the Wyant Tribute Symposium on August 2, 2021 at SPIE’s Optics and Photonics conference in San Diego, California. The technical part of the paper has no overlap with a previous article of mine that was published in Applied Optics last year, bearing the same title as this one. The applications of Fourier transformation described in the present paper include the central limit theorem of probability and statistics, the Shannon-Nyquist sampling… 

References

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Ubiquity of Fourier transformation in optical sciences.
TLDR
Some of its applications in optical science and engineering are discussed to provide a broad perspective on the intimate relation between the physical and mathematical concepts that are elegantly interwoven within the theory of Fourier transforms.
Mathematical methods in science and engineering
Description: An innovative treatment of mathematical methods for a multidisciplinary audience Clearly and elegantly presented, Mathematical Methods in Science and Engineering provides a coherent
Probability, Random Variables and Stochastic Processes
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This chapter discusses the concept of a Random Variable, the meaning of Probability, and the axioms of probability in terms of Markov Chains and Queueing Theory.
Adding the vacuum potential of Eq.(24) to that of the magnetic dipole given by Eq.(22), we finally arrive at the retarded vector potential of the oscillating point-dipole