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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 8 — Aug. 30, 2004
  • pp: 1417–1423

Combined fictitious-sources–scattering-matrix method

Gérard Tayeb and Stefan Enoch  »View Author Affiliations


JOSA A, Vol. 21, Issue 8, pp. 1417-1423 (2004)
http://dx.doi.org/10.1364/JOSAA.21.001417


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Abstract

We describe a way to combine the method of fictitious sources and the scattering-matrix method. The resulting method presents concurrently the advantages of these two rigorous methods. It is able to solve efficiently electromagnetic problems in which the structure is made up of a jacket containing an arbitrary set of scatterers. The method is described in a two-dimensional case, but the basic ideas could be easily extended to three-dimensional cases.

© 2004 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics

History
Original Manuscript: November 14, 2003
Revised Manuscript: February 18, 2004
Manuscript Accepted: February 18, 2004
Published: August 1, 2004

Citation
Gérard Tayeb and Stefan Enoch, "Combined fictitious-sources–scattering-matrix method," J. Opt. Soc. Am. A 21, 1417-1423 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-8-1417


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References

  1. D. Felbacq, G. Tayeb, D. Maystre, “Scattering by a random set of parallel cylinders,” J. Opt. Soc. Am. A 11, 2526–2538 (1994). [CrossRef]
  2. D. Felbacq, E. Centeno, “Theory of diffraction for 2D photonic crystals with a boundary,” Opt. Commun. 199, 39–45 (2001). [CrossRef]
  3. T. P. White, B. Kuhlmey, R. C. McPhedran, D. Maystre, G. Renversez, C. Martijn de Sterke, L. C. Botten, “Multipole method for microstructured optical fibers. I formulation,” J. Opt. Soc. Am. B 19, 2322–2330 (2002). [CrossRef]
  4. D. Maystre, M. Saillard, G. Tayeb, “Special methods of wave diffraction,” in Scattering, P. Sabatier, E. R. Pike, eds. (Academic, London, 2001).
  5. G. Tayeb, R. Petit, 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, W. R. McKinney, eds., Proc. SPIE1545, 95–105 (1991). [CrossRef]
  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, 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). [CrossRef]
  8. F. Zolla, 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). [CrossRef]
  9. Y. Leviatan, A. Boag, “Analysis of electromagnetic scattering from dielectric cylinders using a multifilament current model,” IEEE Trans. Antennas Propag. AP-35, 1119–1127 (1987). [CrossRef]
  10. A. Boag, Y. Leviatan, 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). [CrossRef]
  11. A. Boag, Y. Leviatan, A. Boag, “Analysis of diffraction from echelette gratings using a strip-current model,” J. Opt. Soc. Am. A 6, 543–549 (1989). [CrossRef]
  12. A. Boag, Y. Leviatan, 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). [CrossRef]
  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). [CrossRef]
  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). [CrossRef]
  16. D. Kaklamani, H. Anastassiu, “Aspects of the method of auxiliary sources (MAS) in computational electromagnetics,” IEEE Antennas Propag Mag.June2002, pp. 48–64.
  17. W. Press, B. Flannery, S. Teukolsky, 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, 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). [CrossRef]
  19. M. Abramovitz, I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970).
  20. D. Maystre, M. Cadilhac, “Singularities of the continuation of the fields and validity of Rayleigh’s hypothesis,” J. Math. Phys. 26, 2201–2204 (1985). [CrossRef]
  21. http://institut.fresnel.free.fr/fs_ssm/index.htm , or contact the authors.

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