Alternative description of the linear canonical integral transformation

T. Alieva, M.J. Bastiaans

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Samenvatting

First-optical systems (or ABCD-systems) with a singular submatrix B are considered. Starting with the Iwasawa-type decomposition of a first-order optical system as a cascade of a lens, a magnifier, and an ortho-symplectic system (a system that is both symplectic and orthogonal), a further decomposition of the ortho-symplectic system in the form of a separable fractional Fourier transformer embedded in between two spatial-coordinate rotators is proposed. The resulting decomposition of the entire firstorder optical system leads to a representation of the linear canonical integral transformation, which is valid also in the case of a singular submatrix B. Some examples of ABCDsystems with a singular submatrix B are given.
Originele taal-2Engels
TitelProceedings of the 16th ProRISC, Annual Workshop on Circuits, Systems and Signal Processing (ProRISC 2005) 17 - 18 November 2006, Veldhoven, the Netherlands
Plaats van productieUtrecht, the Netherlands
UitgeverijTechnology Foundation
Pagina's584-588
ISBN van geprinte versie90-73461-50-2
StatusGepubliceerd - 2005
Evenement2005 Annual Workshop on Circuits, Systems and Signal Processing (ProRISC 2005) - Veldhoven, Nederland
Duur: 17 nov 200518 nov 2005
Congresnummer: 16

Congres

Congres2005 Annual Workshop on Circuits, Systems and Signal Processing (ProRISC 2005)
Verkorte titelProRISC 2005
LandNederland
StadVeldhoven
Periode17/11/0518/11/05
AnderProRISC 2005, Veldhoven, the Netherlands

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  • Citeer dit

    Alieva, T., & Bastiaans, M. J. (2005). Alternative description of the linear canonical integral transformation. In Proceedings of the 16th ProRISC, Annual Workshop on Circuits, Systems and Signal Processing (ProRISC 2005) 17 - 18 November 2006, Veldhoven, the Netherlands (blz. 584-588). Utrecht, the Netherlands: Technology Foundation.