Abstract

For Gaussian–Schell beam propagation through complex matrix optical systems, it is shown that, in some particular cases, an $\mathcal{A}$ ℬ $\mathcal{C}\hspace{0.17em}\mathcal{D}$ transformation law for the Wigner distribution function holds. For these situations, invariant quantities for the Gaussian–Schell beam propagation can be defined analogous to the real matrix case.

© 1995 Optical Society of America

Wigner distribution function in nonlinear optics

D. Dragoman
Appl. Opt. 35(21) 4142-4146 (1996)

Fractional Wigner distribution function

D. Dragoman
J. Opt. Soc. Am. A 13(3) 474-478 (1996)

Wigner-distribution-function representation of the coupling coefficient

D. Dragoman
Appl. Opt. 34(29) 6758-6763 (1995)

Higher-order moments of the Wigner distribution function in first-order optical systems

Daniela Dragoman
J. Opt. Soc. Am. A 11(10) 2643-2646 (1994)

Generalized beam matrices: Gaussian beam propagation in misaligned complex optical systems

Anthony A. Tovar and Lee W. Casperson
J. Opt. Soc. Am. A 12(7) 1522-1533 (1995)