Wigner distribution transformations in high-order systems

2003/05/07 by J. B. Almeida, V. Lakshminarayanan
Physics and Astronomy · #physics.optics

paper · pdf

published as J. Comput. Appl. Math., 160 (1-2): 17-26 Nov 1 2003 · 16 pages, 7 figures. To appear in J. of Comp. and Appl. Math

arxiv created 2003/05/07 · arxiv updated 2009/12/01

Abstract

By combining the definition of the Wigner distribution function (WDF) and the matrix method of optical system modeling, we can evaluate the transformation of the former in centered systems with great complexity. The effect of stops and lens diameter are also considered and are shown to be responsible for non-linear clipping of the resulting WDF in the case of coherent illumination and non-linear modulation of the WDF when the illumination is incoherent. As an example, the study of a single lens imaging systems illustrates the applicability of the method.

Related

• Analysis of optical systems with extended depth of field using the Wigner distribution function
• Propagation of a Gaussian Wigner Function Through a Matrix-Aperture Beamline
• Effect of Diffraction on Wigner Distributions of Optical Fields and how to Use It in Optical Resonator Theory. II -- Unstable Resonators
• Phase Space Modeling of Extended Sources Based on Wigner Distribution and Hamiltonian Optics
• Effect of Diffraction on Wigner Distributions of Optical Fields and how to Use It in Optical Resonator Theory. I -- Stable Resonators and Gaussian Beams