Fully relativisticlike formulation of multilayer optics

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 16, Issue 8, 1999, Pages 2013-2018

  Monzon J J ^a   Sanchez Soto L L ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

LIGHT ABSORPTION; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; RELATIVITY; TRANSPARENCY;

LORENTZ TRANSFORMATION;

OPTICAL MULTILAYERS;

EID: 0032606518     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.16.002013     Document Type: Article

References (23)

1. L. M. Brekovskikh, Waves in Layered Media (Academic, New York, 1960).
2. O. S. Heavens, Thin Film Physics (Methuen, London, 1970).
3. H. A. Macleod, Thin-Film Optical Filters (Hilger, Bristol, UK, 1986).
4. J. Lekner, Theory of Reflection (Kluwer Academic, Dordrecht, The Netherlands, 1987).
5. R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1987).
6. F. Abelès, “Methods for determining optical parameters of thin films,” in Progress in Optics, E. Wolf, ed. (NorthHolland, Amsterdam, 1963), Vol. II, pp. 249–288.
7. J. M. Vigoureux, “Use of Einstein’s addition law in studies of reflection by stratified planar structures,” J. Opt. Soc. Am. A 9, 1313–1319 (1992).
8. S. W. Corzine, R. H. Yan, and L. A. Coldren, “A tanhsubstitution technique for the analysis of abrupt and graded interface multilayer dielectric stacks,” IEEE J. Quantum Electron. 27, 2086–2090 (1991).
9. I. V. Lindell and A. H. Sihvola, “The quotient function and its applications,” Am. J. Phys. 66, 197–202 (1998).
10. J. M. Vigoureux, “Polynomial formulation of reflection and transmission by stratified planar structures,” J. Opt. Soc. Am. A 8, 1697–1701 (1991).
11. J. M. Vigoureux, “The reflection of light by planar stratified media: the grupoid of amplitudes and a phase Thomas precession,” J. Phys. A 26, 385–393 (1993).
12. A. A. Ungar, “Thomas precession and its associated grouplike structure,” Am. J. Phys. 59, 824–834 (1991).
13. J. M. Vigoureux and Ph. Grossel, “A relativistic-like presentation of optics in stratified planar media,” Am. J. Phys. 61, 707–712 (1993).
14. J. J. Monzón and L. L. Sánchez-Soto, “Lossless multilayers and Lorentz transformations: more than an analogy,” Opt. Commun. 162, 1–6 (1999).
15. A. O. Barut and R. Rączka, Theory of Group Representations and Applications (PWN-Polish Scientific, Warsaw, 1977).
16. V. Bargmann, “Irreducible unitary representations of the Lorentz group,” Ann. Math. 48, 568–640 (1947).
17. J. J. Monzón and L. L. Sánchez-Soto, “On the concept of absorption for a Fabry–Perot interferometer,” Am. J. Phys. 64, 156–163 (1996).
18. J. J. Monzón and L. L. Sánchez-Soto, “Algebraic structure of Fresnel reflection and transmission coefficients at an interface,” Optik (Stuttgart) (to be published).
19. M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, UK, 1980).
20. E. P. Wigner, Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra (Academic, New York, 1959).
21. A. O. Barut, Electrodynamics and Classical Theory of Fields and Particles (Dover, New York, 1980).
22. D. A. Jackson, Classical Electrodynamics (Wiley, New York, 1975).
23. M. E. Rose, Elementary Theory of Angular Momentum (Wiley, New York, 1957).