Uncertainty principles in linear canonical transform domains and some of their implications in optics

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111 Scopus citations

Abstract

The linear canonical transform (LCT) is the name of a parameterized continuum of transforms that include, as particular cases, many widely used transforms in optics such as the Fourier transform, fractional Fourier transform, and Fresnel transform. It provides a generalized mathematical tool for representing the response of any first-order optical system in a simple and insightful way. In this work we present four uncertainty relations between LCT pairs and discuss their implications in some common optical systems.

Original languageEnglish
Pages (from-to)647-652
Number of pages6
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume25
Issue number3
DOIs
StatePublished - 1 Jan 2008

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Computer Vision and Pattern Recognition

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