Minimal optical decomposition of ray transfer matrices

Applied Optics

Volumn 47, Issue 22, 2008, Pages

  Xiyuan, Liu ^a   Brenner, Karl Heinz ^a  

^a UNIVERSITY OF MANNHEIM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DECOMPOSITION; INVERSE PROBLEMS; LENSES; MATRIX ALGEBRA; RAY TRACING; TRANSFER MATRIX METHOD;

ABCD MATRIX; ELEMENT TYPE; FIRST-ORDER OPTICAL SYSTEMS; FREE SPACE PROPAGATION; LOSSLESS; MINIMALIZATION; RAY TRANSFER; RAY-TRANSFER MATRIX;

OPTICAL SYSTEMS;

EID: 54149098184     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.47.000E88     Document Type: Article

References (14)

1. H. H. Arsenault, "Generalization of the principal plane concept in matrix optics," Am. J. Phys. 48, 397-399 (1980).
2. M. Nazarathy and J. Shamir, "First-order optics-a canonical operator representation: lossless systems," J. Opt. Soc. Am. 72, 356-364 (1982).
3. B. Macukow and H. H. Arsenault, "Matrix decompositions for nonsymmetrical optical systems," J. Opt. Soc. Am. 73, 1360-1366 (1983).
4. H. H. Arsenault and B. Macukow, "Factorization of the transfer matrix for symmetrical optical systems," J. Opt. Soc. Am. 73, 1350-1359 (1983).
5. C. Palma and V. Bagini, "Extension of the Fresnel transform to ABCD systems," J. Opt. Soc. Am. A 14, 1774-1779 (1997).
6. L. W. Casperson, "Synthesis of Gaussian beam optical systems," Appl. Opt. 20, 2243-2249 (1981).
7. R. Simon and N. Mukunda, "Iwasawa decomposition in firstorder optics: universal treatment of shape-invariant propagation for coherent and partially coherent beams," J. Opt. Soc. Am. A 15, 2146-2155(1998).
8. S. Abe and J. T. Sheridan, "Optical operations on wave functions as the Abelian subgroups of the special affine Fourier transformation," Opt. Lett. 19, 1801-1803 (1994).
9. K. B. Wolf, Geometric Optics on Phase Space (Springer, 2004), Chap. 9, p. 164.
10. M. J. Bastiaans and T. Alieva, "Synthesis of an arbitary ABCD system with fixed lens positions," Opt. Lett. 31, 2414-2416 (2006).
11. E. C. G. Sudarshan, N. Mukunda, and R. Simon, "Realisation of first order optical systems using thin lenses," Opt. Acta 32, 855-872 (1985).
12. H. O. Bartelt, K.-H. Brenner, and A. W. Lohmann, "The Wigner distribution function and its optical production," Opt. Commun. 32, 32-38 (1980).
13. H. Bartelt and K.-H. Brenner, "The Wigner distribution function: an alternate signal representation in optics," Isr. J. Technol. 18, 260-262 (1980).
14. K.-H. Brenner and A. W. Lohmann, "Wigner distribution function display of complex 1-D signals," Opt. Commun. 42, 310-314 (1982).