%0 Journal Article %A Bastiaans, Martin J. %A Alieva Krasheninnikova, Tatiana %T Synthesis of an arbitrary ABCD system with fixed lens positions %D 2006 %@ 0146-9592 %U https://hdl.handle.net/20.500.14352/51271 %X 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 ABCD system (with two transverse coordinates) by means of lenses and predetermined sections of free space such that the lenses are located at fixed positions. %~