О преобразовании Фурье в оптике
Статья в двух частях:
Ubiquity of Fourier Transformation in Optical Sciences: https://arxiv.org/abs/2006.01828
Masud Mansuripur
The Fourier transform operation is an important conceptual as well as computational tool in the arsenal of every practitioner of physical and mathematical sciences. We discuss some of its applications in optical science and engineering, with the goal of providing a broad perspective on the intimate relation between the physical and mathematical concepts that are elegantly interwoven within the theory of Fourier transforms.
Comments: 25 pages, 85 equations, 5 figures, 5 appendices, and 26 references
Ubiquity of Fourier Transformation in Optical Sciences (Part II): https://arxiv.org/abs/2110.09945
Masud Mansuripur
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.
Comments: 9 pages, 29 equations, 6 pictures, 5 references
Ubiquity of Fourier Transformation in Optical Sciences: https://arxiv.org/abs/2006.01828
Masud Mansuripur
The Fourier transform operation is an important conceptual as well as computational tool in the arsenal of every practitioner of physical and mathematical sciences. We discuss some of its applications in optical science and engineering, with the goal of providing a broad perspective on the intimate relation between the physical and mathematical concepts that are elegantly interwoven within the theory of Fourier transforms.
Comments: 25 pages, 85 equations, 5 figures, 5 appendices, and 26 references
Ubiquity of Fourier Transformation in Optical Sciences (Part II): https://arxiv.org/abs/2110.09945
Masud Mansuripur
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.
Comments: 9 pages, 29 equations, 6 pictures, 5 references