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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. 16, Iss. 12 — Dec. 1, 1999
  • pp: 2983–2989

R-matrix propagator with perfectly matched layers for the study of integrated optical components

J. Merle Elson and Phuc Tran  »View Author Affiliations


JOSA A, Vol. 16, Issue 12, pp. 2983-2989 (1999)
http://dx.doi.org/10.1364/JOSAA.16.002983


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Abstract

The perfectly matched layer boundary conditions are incorporated into the R-matrix propagator method to achieve an extended capability for the modeling of integrated optical devices. As examples, with this technique we calculate the free-space coupling of a Gaussian beam into a planar waveguide, both with and without surface roughness on the waveguide surface.

© 1999 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(130.2790) Integrated optics : Guided waves
(240.6680) Optics at surfaces : Surface plasmons
(290.4210) Scattering : Multiple scattering
(290.5880) Scattering : Scattering, rough surfaces
(310.2790) Thin films : Guided waves

Citation
J. Merle Elson and Phuc Tran, "R-matrix propagator with perfectly matched layers for the study of integrated optical components," J. Opt. Soc. Am. A 16, 2983-2989 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-12-2983


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References

  1. J. M. Elson and P. Tran, “Dispersion and diffraction in photonic media: a different modal expansion for the R-matrix propagation technique,” J. Opt. Soc. Am. A 12, 1765–1771 (1995).
  2. J. M. Elson and P. Tran, “Coupled mode calculation with the R-matrix propagator for the dispersion of surface waves on a truncated photonic crystal,” Phys. Rev. B 54, 1711–1715 (1996).
  3. J. M. Elson and P. Tran, “Band structure and transmission of photonic media: a real-space finite-difference calculation with the R-matrix propagator,” in Photonic Band Gap Materials, Vol. 315 of NATO Advanced Study Institute Series E: Applied Sciences, C. M. Soukoulis, ed. (Kluwer Academic, Dordrecht, The Netherlands, 1996), pp. 341–354.
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  7. Jean-Pierre Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 114, 185–200 (1994); J.-P. Berenger, “Three-dimensional perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 127, 363–379 (1996).
  8. A. Maradudin, T. Michel, A. McGurn, and E. Mendez, “Enhanced backscattering of light from a random grating,” Ann. Phys. 203, 255–307 (1990).

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