Abstract

On the basis of the modified Iwasawa decomposition of a lossless first-order optical system as a cascade of a lens, a magnifier, and a so-called orthosymplectic system, we show how to synthesize an arbitrary $\mathbf{A}\mathbf{B}\mathbf{C}\mathbf{D}$ system (with two transverse coordinates) by means of lenses and predetermined sections of free space such that the lenses are located at fixed positions.

© 2006 Optical Society of America

First-order optical systems with unimodular eigenvalues

Martin J. Bastiaans and Tatiana Alieva
J. Opt. Soc. Am. A 23(8) 1875-1883 (2006)

Alternative representation of the linear canonical integral transform

Tatiana Alieva and Martin J. Bastiaans
Opt. Lett. 30(24) 3302-3304 (2005)

Optical system design for orthosymplectic transformations in phase space

José A. Rodrigo, Tatiana Alieva, and María Luisa Calvo
J. Opt. Soc. Am. A 23(10) 2494-2500 (2006)

Dynamic and geometric phase accumulation by Gaussian-type modes in first-order optical systems

Tatiana Alieva and Martin J. Bastiaans
Opt. Lett. 33(15) 1659-1661 (2008)

Structure of the set of paraxial optical systems

R. Simon and Kurt Bernardo Wolf
J. Opt. Soc. Am. A 17(2) 342-355 (2000)