Linear canonical transform as a tool to analyze coherence properties of electromagnetic beams propagating in a quadratic phase system.

Abstract

Linear canonical transformation (LCT) provides a generalized and elegant mathematical framework for analyzing the coherence properties of an electromagnetic (EM) beam propagating in quadratic phase systems (QPSs). It is shown that LCT may be used to analyze coherence properties such as generalized Stokes parameters and EM degree of coherence of a partially coherent EM beam propagating through a QPS. We present simulation results of a Gaussian Schell model beam propagating through a Fourier system, fractional Fourier system, and 4f imaging system with an aperture and beam relay system.