RT Journal Article T1 Synthesis of an arbitrary ABCD system with fixed lens positions A1 Bastiaans, Martin J. A1 Alieva, Tatiana Krasheninnikova AB 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. PB Optical Society of America SN 0146-9592 YR 2006 FD 2006-08-15 LK https://hdl.handle.net/20.500.14352/51271 UL https://hdl.handle.net/20.500.14352/51271 LA eng NO 1. R. K. Luneburg, Mathematical Theory of Optics (U. California Press, 1966).2. E. C. G. Sudarshan, N. Mukunda, and R. Simon, Opt. Acta 32, 855 (1985).3. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).4. A. W. Lohmann, J. Opt. Soc. Am. A 10, 2181 (1993).5. H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, 2001).6. K. B. Wolf, Geometric Optics on Phase Space (Springer, 2004).7. R. Simon and K. B. Wolf, J. Opt. Soc. Am. A 17, 342 (2000).8. R. Simon and N. Mukunda, J. Opt. Soc. Am. A 15, 2146 (1998).9. M. Nazarathy and J. Shamir, J. Opt. Soc. Am. 72, 356 (1982).10. T. Alieva and M. J. Bastiaans, Opt. Lett. 30, 3302 (2005). NO © 2006 Optical Society of America. T. Alieva thanks the Spanish Ministry of Education and Science for financial support (TEC2005-02180/MIC). M. J. Bastiaans can be reached at m.j.bastiaans@tue.nl, and T. Alieva at talieva@fis.ucm.es. NO Spanish Ministry of Education and Science DS Docta Complutense RD 2 may 2024