Study on the Mainardi beam through the fractional Fourier transforms system
Автор: Habibi Forouzan, Moradi Mohammad, Ansari Alireza
Журнал: Компьютерная оптика @computer-optics
Рубрика: Дифракционная оптика, оптические технологии
Статья в выпуске: 5 т.42, 2018 года.
Бесплатный доступ
In this paper, we introduced the Mainardi beam and indicated its attributes under the Fractional Fourier transform for power variations of Fractional Fourier transform. The results represent that the behavior of the Mainardi beam is similar to that of the Airy beam. The obtained formula is a very powerful tool to describe propagation of a Mainardi beam through the FFT and the FrFT sys-tems. An analytical expression of the Mainardi beam passing through an Fractional Fourier trans-form system presented. The influences of the Fractional Fourier transform, rational order of the Mittag-Leffler function (Fourier transform of the Mainardi function) on the normalized intensity distribution and characteristics of the Mainardi beam in the Fractional Fourier transform system examined. Power of the Fractional Fourier transform (p) and rational order of the Mittag-Leffler function (q) control characteristics of the Mainardi beam such as effective beam size, number, width, height, and orientation of the beam spot.
Wright function, mainardi function, mittag-leffler function, airy beam, fractional fourier transform
Короткий адрес: https://sciup.org/140238476
IDR: 140238476 | DOI: 10.18287/2412-6179-2018-42-5-751-757
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