Fractional Fourier transform for elliptical Gaussian beam in spatial-frequency domain

Optik ◽  
2003 ◽  
Vol 114 (10) ◽  
pp. 433-436 ◽  
Author(s):  
Yangjian Cai ◽  
Qiang Lin
1999 ◽  
Vol 38 (Part 1, No. 5B) ◽  
pp. 3116-3119
Author(s):  
Koichi Mizutani ◽  
Masahiro Yamazaki ◽  
Masahiro Yoshioka ◽  
Keinosuke Nagai

2019 ◽  
Vol 30 ◽  
pp. 04013
Author(s):  
Vladimir Ponomarev ◽  
Olga Ponomareva ◽  
Alexey Ponomarev ◽  
Natalya Smirnova

A method of vertical sliding processing of two-dimensional discrete signals in the spatial frequency domain is proposed — a method of fast vertically sliding two-dimensional discrete Fourier transform. The mathematical representation of the two-dimensional discrete Fourier transform in algebraic and matrix form is considered. An effective method of vertically sliding two-dimensional discrete Fourier transform is proposed. The algorithm developed in the framework of the proposed method allows calculating the coefficients (bins) of this transformation in real time.


2017 ◽  
Vol 22 (7) ◽  
pp. 076007 ◽  
Author(s):  
Mira Sibai ◽  
Carl Fisher ◽  
Israel Veilleux ◽  
Jonathan T. Elliott ◽  
Frederic Leblond ◽  
...  

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