Ubiquity of Fourier Transformation in Optical Sciences (Part II)
Masud Mansuripur
TL;DR
This paper discusses the widespread use of Fourier transformation in optical sciences, covering its applications in probability, sampling, and electromagnetic field computation, highlighting its fundamental role across various scientific domains.
Contribution
It provides a comprehensive overview of Fourier transformation applications in optical sciences, emphasizing its fundamental and diverse roles.
Findings
Fourier transformation underpins the central limit theorem in probability.
It is essential for Shannon-Nyquist sampling theorem.
It enables computation of electromagnetic fields from oscillating magnetic dipoles.
Abstract
This paper contains a transcript of my presentation at the Wyant Tribute Symposium on August 2, 2021 at SPIE's Optics & 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.1 The applications of Fourier transformation described in the present paper include the central limit theorem of probability and statistics, the Shannon-Nyquist sampling theorem, and computing the electromagnetic field radiated by an oscillating magnetic dipole.
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