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|Title:||The Laguerre-Gaussian series representation of two-dimensional fractional Fourier transform|
|Citation:||Yu, L., Huang, W., Huang, M., Zhu, Z., Zeng, X., Ji, W. (1998-11-20). The Laguerre-Gaussian series representation of two-dimensional fractional Fourier transform. Journal of Physics A: Mathematical and General 31 (46) : 9353-9357. ScholarBank@NUS Repository. https://doi.org/10.1088/0305-4470/31/46/025|
|Abstract:||In this paper the Laguerre-Gaussian (LG) series representation of the two-dimensional fractional Fourier transform is derived from conventional ordinary Fourier transform in polar coordinates. The kernel of this series representation is constituted by Laguerre-Gaussian functions, from which the series representation of a fractional Hankel transform can be easily derived. The connection between the gradient-index medium and the LG series representation is illustrated as an example of its applications.|
|Source Title:||Journal of Physics A: Mathematical and General|
|Appears in Collections:||Staff Publications|
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