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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. 5 — May. 1, 2004
  • pp: 839–846

Transmission and radiation in a slab waveguide coupled to a whispering-gallery resonator: volume-integral-equation analysis

Ioannis D. Chremmos and Nikolaos K. Uzunoglu  »View Author Affiliations


JOSA A, Vol. 21, Issue 5, pp. 839-846 (2004)
http://dx.doi.org/10.1364/JOSAA.21.000839


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Abstract

The excitation of a whispering gallery resonator by a surface wave guided in a dielectric slab is analyzed with a rigorous volume-integral-equation approach. The analysis is based on the Green’s function concept and the application of the entire-domain Galerkin technique through expansion of the electric field in the resonator in terms of cylindrical wave functions. The algorithm developed yields highly accurate results for the transmission and reflection coefficients in the waveguide. The radiated far field is computed, and the effect of the excitation of a whispering gallery mode on the radiation pattern is studied.

© 2004 Optical Society of America

OCIS Codes
(230.3120) Optical devices : Integrated optics devices
(230.5750) Optical devices : Resonators
(230.7370) Optical devices : Waveguides
(230.7400) Optical devices : Waveguides, slab

History
Original Manuscript: October 9, 2003
Revised Manuscript: January 8, 2004
Manuscript Accepted: January 8, 2004
Published: May 1, 2004

Citation
Ioannis D. Chremmos and Nikolaos K. Uzunoglu, "Transmission and radiation in a slab waveguide coupled to a whispering-gallery resonator: volume-integral-equation analysis," J. Opt. Soc. Am. A 21, 839-846 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-5-839


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References

  1. G. Annino, M. Cassetari, I. Longo, M. Martinelli, “Whispering gallery modes in dielectric resonators: characterization at the millimeter wavelengths,” IEEE Trans. Microwave Theory Tech. 45, 2025–2034 (1997). [CrossRef]
  2. D. Cros, P. Guillon, “Whispering gallery dielectric resonator modes for W-band devices,” IEEE Trans. Microwave Theory Tech. 38, 1667–1673 (1990). [CrossRef]
  3. B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, J.-P. Laine, “Microring resonator channel dropping filters,” J. Lightwave Technol. 15, 998–1005 (1997). [CrossRef]
  4. K. Oda, N. Tokato, H. Toba, “A wide-FSR waveguide double-ring resonator for optical FDM transmission systems,” J. Lightwave Technol. 9, 728–736 (1991). [CrossRef]
  5. S. V. Boriskina, A. I. Nosich, “Radiation and absorption losses of the WGM dielectric resonators excited by a dielectric waveguide,” IEEE Trans. Microwave Theory Tech. 47, 224–231 (1999). [CrossRef]
  6. S. T. Chu, S. K. Chaudhuri, “A finite-difference time-domain method for the design and analysis of guided-wave optical structures,” J. Lightwave Technol. 7, 2033–2038 (1989). [CrossRef]
  7. B. E. Little, J.-P. Laine, H. A. Haus, “Analytic theory of coupling from tapered fibers and half-blocks into microsphere resonators,” J. Lightwave Technol. 17, 704–715 (1999). [CrossRef]
  8. R. F. Harrington, Field Computation by Moment Methods (Macmillan, New York, 1983).
  9. A. R. Sommerfeld, Partial Differential Equations in Physics (Academic, New York, 1949).
  10. N. K. Uzunoglu, J. G. Fikioris, “Scattering from an inhomogeneity inside a dielectric slab waveguide,” J. Opt. Soc. Am. 72, 628–637 (1982). [CrossRef]
  11. R. E. Collin, Field Theory of Guided Waves (McGraw-Hill, New York, 1960).
  12. W. C. Chew, Waves and Fields in Inhomogeneous Media (IEEE Press, Piscataway, N.J., 1995).
  13. C. A. Balanis, Advanced Engineering Electromagnetics (Wiley, New York, 1989).
  14. M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).
  15. N. K. Uzunoglu, “Scattering from inhomogeneities inside a fiber waveguide,” J. Opt. Soc. Am. 71, 259–273 (1981). [CrossRef]
  16. L. B. Felsen, N. Marcuvitz, Radiation and Scattering of Waves (IEEE Press, Piscataway, N.J., 1994).
  17. M. J. Jory, E. A. Perkins, J. R. Sambles, “Light emission from whispering-gallery modes in microscopic spheres,” J. Opt. Soc. Am. A 20, 1785–1791 (2003). [CrossRef]
  18. F. Vollmer, S. Arnold, D. Braun, I. Teraoka, A. Libchaber, “Multiplexed DNA quantification by spectroscopic shift of two microsphere cavities,” Biophys. J. 85, 1974–1979 (2003).
  19. I. D. Chremmos, N. K. Uzunoglu, “Analysis of coupling between two slab waveguides in the presence of ring resonators,” J. Opt. Soc. Am. A 21, 267–279 (2004). [CrossRef]

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