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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. 1, Iss. 7 — Jul. 1, 1984
  • pp: 760–763

Formulation of two-dimensional reflectivity calculations for transverse-magnetic-like modes

Amos Hardy  »View Author Affiliations


JOSA A, Vol. 1, Issue 7, pp. 760-763 (1984)
http://dx.doi.org/10.1364/JOSAA.1.000760


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Abstract

Two-dimensional reflectivity of transverse-magnetic-like modes (Hx = 0) is considered. The modes are derived by means of the effective-index approximation. Mathematical expressions for the reflectivity and conversion coefficients are similar in form to those of transverse-electric-like modes, although the various functions and parameters in the equations are defined somewhat differently.

© 1984 Optical Society of America

History
Original Manuscript: December 20, 1983
Manuscript Accepted: March 7, 1984
Published: July 1, 1984

Citation
Amos Hardy, "Formulation of two-dimensional reflectivity calculations for transverse-magnetic-like modes," J. Opt. Soc. Am. A 1, 760-763 (1984)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-1-7-760


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References

  1. A. Hardy, “Formulation of two-dimensional reflectivity calculations based on the effective-index method,” J. Opt. Soc. Am. A 1, 550–555 (1984). [CrossRef]
  2. G. B. Hocker, W. K. Burns, “Mode dispersion in diffused channel waveguides by the effective index method,” Appl. Opt. 16, 113–118 (1977), and references therein. [CrossRef] [PubMed]
  3. J. Buus, “The effective index method and its application to semiconductor lasers,” IEEE J. Quantum Electron. QE-18, 1083–1089 (1982), and references therein. [CrossRef]
  4. W. Streifer, E. Kapon, “Application of the equivalent-index method to DH diode lasers,” Appl. Opt. 18, 3724–3725 (1979). [PubMed]
  5. W. Streifer, D. R. Scifres, R. D. Burnham, “Analysis of gain-induced waveguiding in stripe geometry diode lasers,” IEEE J. Quantum Electron. QE-14, 418–427 (1978). [CrossRef]
  6. E. Kapon, A. Hardy, A. Zussman, “Application of perturbation theory to the analysis of diode lasers with lateral optical confinement,” IEEE J. Quantum Electron. (to be published).
  7. T. Ikegami, “Reflectivity of mode at facet and oscillation mode in double-heterostructure injection lasers,” IEEE J. Quantum Electron. QE-8, 470–476 (1972). [CrossRef]
  8. L. Lewin, “A method for the calculation of the radiation pattern and mode-conversion properties of a solid-state heterojunction laser,” IEEE Trans. Microwave Theory Tech. MIT-23, 576–585 (1975). [CrossRef]
  9. H. Kogelnik, “Theory of dielectric waveguides,” in Integrated Optics, T. Tamir, ed. (Springer, New York, 1975), Chap. 2. [CrossRef]
  10. A. Hardy, “Orthogonality relations of modes obtained by the effective index method,” J. Opt. Soc. Am. A 1, 547–549 (1984). [CrossRef]
  11. R. E. Collin, “Radiation from apertures,” in Antenna Theory, R. E. Collin, F. J. Zucker (McGraw-Hill, New York, 1969), Part I, Chap. 3.
  12. L. M. Magid, Electromagnetic Fields, Energy, and Waves (Wiley, New York, 1972).

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