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Proceedings Paper

A fast numerical algorithm for the 2D non-separable linear canonical transform based on a decomposition of the ABCD matrix
Author(s): Liang Zhao; Min Wan; Qing Li; Sannuya Liu; John Sheridan; John Healy
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Paper Abstract

The two-dimensional non-separable linear canonical transform (2D-NS-LCT) can model a wide range of paraxial optical systems. Digital algorithms to calculate the 2D-NS-LCTs are of great interested in both light propagation modeling and digital signal processing. We have previously reported that the transform of a 2D image with rectangular sampling grid generally results in a parallelogram output sampling grid, thus complicating further calculations. One possible solution is to use interpolation techniques. However, it usually leads to poor calculation speed and reduced accuracy. To alleviate this problem, we previously proposed a unitary algorithm by choosing an advantageous sampling rate related to the system parameters. In this paper, a fast algorithm is further proposed based on a novel matrix decomposition, which can significantly improve the efficiency of the numerical approximations.

Paper Details

Date Published: 23 April 2019
PDF: 9 pages
Proc. SPIE 11030, Holography: Advances and Modern Trends VI, 110301G (23 April 2019); doi: 10.1117/12.2522839
Show Author Affiliations
Liang Zhao, Central China Normal Univ. (China)
Min Wan, Univ. College Dublin (Ireland)
Qing Li, Central China Normal Univ. (China)
Sannuya Liu, Central China Normal Univ. (China)
John Sheridan, Univ. College Dublin (Ireland)
John Healy, Univ. College Dublin (Ireland)

Published in SPIE Proceedings Vol. 11030:
Holography: Advances and Modern Trends VI
Antonio Fimia; Miroslav Hrabovský; John T. Sheridan, Editor(s)

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