Lie algebra and symplectic maps as mathematical frameworks for describing optical systems

Optik (Jena)

Volumn 110, Issue 11, 1999, Pages 527-532

  Reyes De Rueda, J ^a,b,c   Saenz A ^d   Silva, A ^c   Castano V M ^a,c  

^a UNIVERSIDAD AUTÓNOMA DE QUERÉTARO   (Mexico)

^b School of Industrial Design   (Mexico)

^c CENTRO DE FÍSICA APLICADA Y TECNOLOGÍA AVANZADA   (Mexico)

^d UNIVERSIDAD DE COSTA RICA   (Costa Rica)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; INTEGRATION; MATHEMATICAL TRANSFORMATIONS; NUMERICAL ANALYSIS; OPTICS; PHASE SPACE METHODS; STATISTICAL MECHANICS;

HAMILTONS EQUATIONS; SYMPLECTIC MAPS; THEORETICAL CLASSICAL MECHANICS;

OPTICAL SYSTEMS;

EID: 0242539255     PISSN: 00304026     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. Goldstein H: Mecánica Clásica. 2nd. Edition. Editorial Reverté S.A., Mexico City 1996
2. Navarro Saad M: B.Sc. Thesis (Physics), UNAM 1985
3. Dragt AJ, Forest E, Wolf KB: Foundations of a Lie Algebraic Theory of Geometrical Optics. In Proceedings of "Lie Methods in Optics", Springer-Verlag, León, México 1985
4. Steimberg S: Lie Series, Lie Transformation, and their Applications. In: Lie Methods in Optics. Springer-Verlag, Mexico City 1985
5. Dragt AJ, Finn JM: Lie Series And Invariant Functions For Analytic Symplectic. J. Math. Phys. 17 (1976) 2215-2227
6. Jacobson N: Lie Algebras. Dover Publications, Dover 1979
7. Reyes de Rueda J, Cotorogea M, Rodríguez R, Castaño VM: Application of Wigner Distribution Function to Fiber Optics. Optik (in press, 1999)
8. Jones HF: Representations and Physics. Editorial Adams Hilger, Boston 1990
9. Castaño VM, Gómez A: A Phase-Space Approach to X-Ray Optics. J. X-Ray Sci. Technol. 4 (1993) 67-76
10. Drag AJ: Lie Algebraic Theory of Geometrical Optics and Optical Aberration. J. Opt. Soc. Am. 72 (1982) 372-378