Sampling of the Two Dimensional Non-separable Linear Canonical Transform

被引：5

作者：

Zhao, Liang ^{[1
]}

Healy, John J. ^{[2
]}

Sheridan, John T. ^{[1
]}

机构：

[1] Univ Coll Dublin, Sch Elect Elect & Commun Engn, SFI Strateg Res Cluster Solar Energy Convers, Commun & Optoelect Res Ctr,Coll Engn & Architectu, Dublin 4, Ireland

[2] Natl Univ Ireland Maynooth, Maynooth, Kildare, Ireland

来源：

OPTICAL MODELLING AND DESIGN III | 2014年 / 9131卷

基金：

爱尔兰科学基金会;

关键词：

2D-NS-LCT; non-orthogonal system; discretization; numerical approximation; unitary; FRACTIONAL FOURIER; GYRATOR TRANSFORM; FRESNEL; RECONSTRUCTION; IMPLEMENTATION; ALGORITHMS;

D O I：

10.1117/12.2052549

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The two-dimensional non-separable linear canonical transform (2D-NS-LCT) involves a significant generalization of the separable LCT (S-LCT), since it can represent orthogonal and non-orthogonal first order optical systems. Thus the availability of a discrete numerical approximation of the 2D-NS-LCT is important as it permits the modelling of a broad class of optical systems. The continuous 2D-NS-LCTs are unitary, but discretization can destroy this property. In this paper, we discuss the condition on the sampling chosen in the discretization, under which some special cases of the discrete 2D-NS-LCTs are unitary. The results presented here provide a basis for the discussion of the general condition for the discrete 2D-NS-LCT to be unitarity.

引用

页数：12

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