Отрывок: When 1 < p ≤ 2, the lateral side lobes are located on the right side. In this case, however, the spot size of the Mainardi beam in- creases with an increase in the value of p, and, with an in- crease in the value of q, the number of lateral lobes de- creases and the main peak expands and heights of other peaks decrease. This dramatic phenomenon can be in...
Название : | Study on the Mainardi beam through the fractional Fourier transforms system |
Авторы/Редакторы : | Habibi, F. Moradi, M. Ansari, A. |
Ключевые слова : | Wright function Mainardi function Mittag-Leffler function Airy beam Fractional Fourier transform |
Дата публикации : | 2018 |
Издательство : | Новая техника |
Библиографическое описание : | Habibi F, Moradi M, Ansari A. Study on the Mainardi beam through the fractional Fourier transforms system. Computer Optics 2018; 42(5): 751-757. DOI: 10.18287/2412-6179-2018-42-5-751-757. |
Серия/номер : | 42;5 |
Аннотация : | 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 systems. An analytical expression of the Mainardi beam passing through an Fractional Fourier transform 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. |
URI (Унифицированный идентификатор ресурса) : | https://dx.doi.org/10.18287/2412-6179-2018-42-5-751-757 http://repo.ssau.ru/handle/Zhurnal-Komputernaya-optika/Study-on-the-Mainardi-beam-through-the-fractional-Fourier-transforms-system-72364 |
Другие идентификаторы : | Dspace\SGAU\20181111\72364 |
Располагается в коллекциях: | Журнал "Компьютерная оптика" |
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420504.pdf | 735.01 kB | Adobe PDF | Просмотреть/Открыть |
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