The Laguerre-Gaussian series representation of two-dimensional fractional Fourier transform

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	The Laguerre-Gaussian series representation of two-dimensional fractional Fourier transform
	Yu, L. ; Huang, W. D. ; Huang, M. C. ; Zhu, Z. Z. ; Zeng, X. M. ; Ji, W. ; Zhu ZZ(朱梓忠) ; Ceng XM(曾晓明) ; Huang MC(黄美纯)
刊名	http://dx.doi.org/10.1088/0305-4470/31/46/025
	1998-11-20
关键词	OPTICAL IMPLEMENTATION ORDER
英文摘要	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 bt:easily derived. The connection between the gradient-index medium and the LG series representation is illustrated as an example of its applications.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/69387]
专题	物理技术－已发表论文
推荐引用方式 GB/T 7714	Yu, L.,Huang, W. D.,Huang, M. C.,et al. The Laguerre-Gaussian series representation of two-dimensional fractional Fourier transform[J]. http://dx.doi.org/10.1088/0305-4470/31/46/025,1998.
APA	Yu, L..,Huang, W. D..,Huang, M. C..,Zhu, Z. Z..,Zeng, X. M..,...&黄美纯.(1998).The Laguerre-Gaussian series representation of two-dimensional fractional Fourier transform.http://dx.doi.org/10.1088/0305-4470/31/46/025.
MLA	Yu, L.,et al."The Laguerre-Gaussian series representation of two-dimensional fractional Fourier transform".http://dx.doi.org/10.1088/0305-4470/31/46/025 (1998).