New fast algorithm for the numerical computation of quadratic-phase integrals

J. J. Healy; J. T. Sheridan

doi:10.1117/12.680698

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25 August 2006 New fast algorithm for the numerical computation of quadratic-phase integrals

J. J. Healy; J. T. Sheridan

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Proceedings Volume 6313, Advanced Signal Processing Algorithms, Architectures, and Implementations XVI; 63130J (2006) https://doi.org/10.1117/12.680698
Event: SPIE Optics + Photonics, 2006, San Diego, California, United States

Abstract

Paraxial optical systems implemented entirely with thin lenses and propagation through free space and/or Graded Index (GRIN) media are quadratic phase systems (QPS). The effect of any arbitrary QPS on an input wavefield can be described using Linear Canonical Transform (LCT). In this paper, we examine a novel numerical implementation of Fast Linear Canonical Transform (FLCT). We then apply the results in various optical signal processing applications.

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J. J. Healy and J. T. Sheridan "New fast algorithm for the numerical computation of quadratic-phase integrals", Proc. SPIE 6313, Advanced Signal Processing Algorithms, Architectures, and Implementations XVI, 63130J (25 August 2006); https://doi.org/10.1117/12.680698

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