Abstract

We have generalized the ABCD propagation law, Q₂ = (AQ₁ + B)/(CQ₁ + D), for an optical system by introducing a generalized complex radius of curvature Q for a general optical beam. The real part of 1/Q is related to the mean radius of curvature of the wave front, while the imaginary part is related to the second moment of the amplitude of the beam.

© 1991 Optical Society of America

Nonlinear propagation and transformation of arbitrary laser beams by means of the generalized ABCD formalism

Miguel A. Porras, Javier Alda, and Eusebio Bernabeu
Appl. Opt. 32(30) 5885-5892 (1993)

Parametric characterization of general partially coherent beams propagating through ABCD optical systems

J. Serna, R. Martínez-Herrero, and P. M. Mejías
J. Opt. Soc. Am. A 8(7) 1094-1098 (1991)

Complex beam parameter and ABCD law for non-Gaussian and nonspherical light beams

Miguel A. Porras, Javier Alda, and Eusebio Bernabeu
Appl. Opt. 31(30) 6389-6402 (1992)

Orbital angular moment of a partially coherent beam propagating through an astigmatic ABCD optical system with loss or gain

Yangjian Cai and Shijun Zhu
Opt. Lett. 39(7) 1968-1971 (2014)

Optical resonators using graded-phase mirrors

P. A. Bélanger and C. Paré
Opt. Lett. 16(14) 1057-1059 (1991)