Fast numerical algorithm for the linear canonical transform
نویسندگان
چکیده
منابع مشابه
Fast numerical algorithm for the linear canonical transform.
The linear canonical transform (LCT) describes the effect of any quadratic phase system (QPS) on an input optical wave field. Special cases of the LCT include the fractional Fourier transform (FRT), the Fourier transform (FT), and the Fresnel transform (FST) describing free-space propagation. Currently there are numerous efficient algorithms used (for purposes of numerical simulation in the are...
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15 صفحه اولA fast algorithm for the linear canonical transform
In recent years there has been a renewed interest in finding fast algorithms to compute accurately the linear canonical transform (LCT) of a given function. This is driven by the large number of applications of the LCT in optics and signal processing. The well-known integral transforms: Fourier, fractional Fourier, bilateral Laplace and Fresnel transforms are special cases of the LCT. In this p...
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متن کاملEigenfunctions of linear canonical transform
The linear canonical transform (the LCT) is a useful tool for optical system analysis and signal processing. It is parameterized by a 2 2 matrix . Many operations, such as the Fourier transform (FT), fractional Fourier transform (FRFT), Fresnel transform, and scaling operations are all the special cases of the LCT. In this paper, we will discuss the eigenfunctions of the LCT. The eigenfunctions...
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ژورنال
عنوان ژورنال: Journal of the Optical Society of America A
سال: 2005
ISSN: 1084-7529,1520-8532
DOI: 10.1364/josaa.22.000928