Nonconducting electromagnetic media with rotational invariance: Transition operators and Green's functions

Journal of Mathematical Physics

Volumn 38, Issue 7, 1997, Pages 3545-3570

  Tip, A ^a  

^a FOM INSTITUTE AMOLF   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031525441     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531868     Document Type: Article

References (25)

1. H. C. van de Hulst, Light Scattering from Small Particles (Dover, New York, 1981).
2. D. S. Jones, Acoustic and Electromagnetic Waves (Oxford University Press, Oxford, 1986).
3. R. G. Newton, Scattering Theory of Waves and Particles (McGraw-Hill, New York, 1966).
4. A. Tip, in Photonic Band Gaps and Localization (Plenum, New York, 1993), edited by C. M. Soukoulis.
5. D. V. van Coevorden and A. Tip, in Progress in Electromagnetics Research 1994, edited by B. Arbesser-Rasturg (Kluwer, Dordrecht, 1994), on CD-ROM.
6. Yu. Barbaranenkov and V. D. Ozrin, Phys. Lett. A 206, 116 (1998) .
7. Scattering and Localization of Classical Waves in Random Media, edited by Ping Sheng (World Scientific, Singapore, 1990).
8. B. A. van Tiggelen, Multiple Scattering and Localization of Light, Ph.D. thesis, Universiteit van Amsterdam, 1992.
9. M. P. van Albada, B. A. van Tiggelen, A. Lagendijk, and A. Tip, Phys. Rev. Lett. 66, 3132 (1991).
10. B. A. van Tiggelen, A. Lagendijk, M. P. van Albada, and A. Tip, Phys. Rev. B 45, 12 233 (1992).
11. R. Sprik, B. A. van Tiggelen, and A. Lagendijk, Europhys. Lett. 35, 265 (1996).
12. D. van Coevorden, R. Sprik, A. Tip, and A. Lagendijk, Phys. Rev. Lett. 77, 2412 (1996).
13. A. Tip, "Canonical formalism and quantization of a class of classical fields with application to radiative decay in dielectrics," preprint (1996).
14. A. Lagendijk and B. A. van Tiggelen, Phys. Rep. 270, 143 (1996).
15. F. Gesztesy, in Schrödinger Operators, edited by H. Holden and A. Jensen, Springer Lecture Notes in Physics 345 (Springer Verlag, Berlin, 1989).
16. T. Kato, Perturbation Theory for Linear Operators (Springer Verlag, Berlin, 1984), 2nd ed.
17. A. Messiah, Quantum Mechanics I (North-Holland, Amsterdam, 1985).
18. H. J. S. Dorren and A. Tip , J. Math. Phys. 32, 3060 (1991).
19. M. Reed and B. Simon, Methods of Modern Mathematical Physics III: Scattering Theory (Academic, New York, 1979).
20. E. Prugovečki, Quantum Mechanics in Hilbert Space (Academic, New York, 1971).
21. H. E. Moses, SIAM J. Appl. Math. 21, 114 (1971).
22. G. E. Hahne, Phys. Rev. A 45, 7526 (1992).
23. L. Tsang and J. A. Kong, J. Appl. Phys. 51, 3465 (1980).
24. T. T. Wu, in Resonances, Models and Phenomena, Proceedings Bielefeld 1984, edited by S. Albeverio, L. S. Ferreira, and L. Streit, Springer Lecture Notes in Physics 211 (Springer, Berlin, 1984).
25. J. F. van Diejen and A. Tip, J. Math. Phys. 32, 630 (1991).