Uncertainty principles in linear canonical transform domains and some of their implications in optics.
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.
Stern
Adrian
A
Department of Electro Optical Engineering, Ben Gurion University of the Negev, Beer-Sheva 84105, Israel. stern@bgu.ac.il