Combined fictitious-sources-scattering-matrix method

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

Volumn 21, Issue 8, 2004, Pages 1417-1423

  Tayeb, Gérard ^a   Enoch, Stefan ^a  

^a AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CRYSTALS; DIFFRACTION; LEAST SQUARES APPROXIMATIONS; LIGHT POLARIZATION; LIGHT REFRACTION; MATRIX ALGEBRA; MAXWELL EQUATIONS; PROBLEM SOLVING;

FICTITIOUS SOURCES; PHOTONIC CRYSTAL; SCATTERED INTENSITY; SCATTERING MATRIX METHOD;

LIGHT SCATTERING;

EID: 4043170640     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.21.001417     Document Type: Article

References (21)

1. D. Felbacq, G. Tayeb, and D. Maystre, "Scattering by a random set of parallel cylinders," J. Opt. Soc. Am. A 11, 2526-2538 (1994).
2. D. Felbacq and E. Centeno, "Theory of diffraction for 2D photonic crystals with a boundary," Opt. Commun. 199, 39-45 (2001).
3. T. P. White, B. Kuhhney, R. C. McPhedran, D. Maystre, G. Renversez, C. Martijn de Sterke, and L. C. Botten, "Multipole method for microstructured optical fibers. I formulation," J. Opt. Soc. Am. B 19, 2322-2330 (2002).
4. D. Maystre, M. Saillard, and G. Tayeb, "Special methods of wave diffraction," in Scattering, P. Sabatier and E. R. Pike, eds. (Academic, London, 2001).
5. G. Tayeb, R. Petit, and M. Cadilhac, "Synthesis method applied to the problem of diffraction by gratings: the method of fictitious sources," in Proceedings of the International Conference on the Application and Theory of Periodic Structures, J. M. Lerner and W. R. McKinney, eds., Proc. SPIE 1545, 95-105 (1991).
6. G. Tayeb, "The method of fictitious sources applied to diffraction gratings," Special issue on Generalized Multipole Techniques (GMT) of Appl. Computat. Electromagn. Soc. J. 9, 90-100 (1994).
7. F. Zolla, R. Petit, and M. Cadilhac, "Electromagnetic theory of diffraction by a system of parallel rods: the method of fictitious sources," J. Opt. Soc. Am. A 11, 1087-1096 (1994).
8. F. Zolla and R. Petit, "Method of fictitious sources as applied to the electromagnetic diffraction of a plane wave by a grating in conical diffraction mounts," J. Opt. Soc. Am. A 13, 796-802 (1996).
9. Y. Leviatan and A. Boag, "Analysis of electromagnetic scattering from dielectric cylinders using a multifilament current model," IEEE Trans. Antennas Propag. AP-35, 1119-1127 (1987).
10. A. Boag, Y. Leviatan, and A. Boag, "Analysis of two-dimensional electromagnetic scattering from a periodic grating of cylinders using a hybrid current model," Radio Sci. 23, 612-624 (1988).
11. A. Boag, Y. Leviatan, and A. Boag, "Analysis of diffraction from echelette gratings using a strip-current model," J. Opt. Soc. Am. A 6, 543-549 (1989).
12. A. Boag, Y. Leviatan, and A. Boag, "Analysis of electromagnetic scattering from doubly periodic nonplanar surfaces using a patch-current model," IEEE Trans. Antennas Propag. AP-41, 732-738 (1993).
13. C. Hafner, The Generalized Multipole Technique for Computational Electromagnetics (Artech House, Boston, Mass., 1990).
14. C. Hafner, "Multiple multipole program computation of periodic structures," J. Opt. Soc. Am. A 12, 1057-1067 (1995).
15. V. D. Kupradze, "On the approximate solution of problems in mathematical physics," original (Russian), Uspekhi Mat. Nauk 22(2), 59-107 (1967); English translation, Russian Mathematical Surveys 22, 58-108 (1967).
16. D. Kaklamani and H. Anastassiu, "Aspects of the method of auxiliary sources (MAS) in computational electromagnetics," IEEE Antennas Propag Mag. June 2002, pp. 48-64.
17. W. Press, B. Flannery, S. Teukolsky, and W. Vetterling, Numerical Recipes in FORTRAN: the Art of Scientific Computing, 2nd ed. (Cambridge U. Press, Cambridge, UK, 1992).
18. A. A. Asatryan, K. Busch, R. C. McPhedran, L. C. Botten, C. M. de Sterke, and N. A. Nicorovici, "Two-dimensional Green's function and local density of states in photonic crystals consisting of a finite number of cylinders of infinite length," Phys. Rev. E 63, 046612 (2001).
19. M. Abramovitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970).
20. D. Maystre and M. Cadilhac, "Singularities of the continuation of the fields and validity of Rayleigh's hypothesis," J. Math. Phys. 26, 2201-2204 (1985).
21. http://institut.fresnel.free.fr/fsm/index.htm, or contact the authors.