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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 69, Iss. 12 — Dec. 1, 1979
  • pp: 1676–1683

Comparison of normal mode and total field analysis techniques in planar integrated optics

J. E. Sipe and G. I. Stegeman  »View Author Affiliations

JOSA, Vol. 69, Issue 12, pp. 1676-1683 (1979)

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Normal mode and total field analysis techniques for calculating the fields generated by a polarization source are discussed. The amplitudes of the normal modes are evaluated using a Green’s-function approach and the results are compared to a previous treatment by Yariv. The generated fields are also calculated by solving the polarization driven wave equation subject to the usual electromagnetic boundary conditions at all of the pertinent interfaces. It is shown that these two approaches yield equivalent results for a simple case, and their relative merits for solving problems in different regions of a waveguide are discussed.

© 1980 Optical Society of America

J. E. Sipe and G. I. Stegeman, "Comparison of normal mode and total field analysis techniques in planar integrated optics," J. Opt. Soc. Am. 69, 1676-1683 (1979)

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  1. R. V. Schmidt, "Acoustooptic Interactions Between Guided Optical Waves and Acoustic Surfaces Waves," IEEE Trans. Sonics Ultrason. SU-23, 22–30 (1976).
  2. E. M. Conwell, "Theory of Second-Harmonic Generation in Optical Waveguides," IEEE J. Quantum Electron. QE-10, 608–612 (1974).
  3. P. K. Tien, "Integrated Optics and New Wave Phenomena in Optical Waveguides," Rev. Mod. Phys. 49, 361–420 (1977).
  4. D. Marcuse, Theory of Dielectric Waveguides (Academic, New York 1974).
  5. A. Yariv, "Coupled Mode Theory for Guided Wave Optics," IEEE J. Quantum Electron. 9, 919–933 (1973).
  6. A. Yariv, Quantum Electronics, 2nd edition (Wiley, New York, 1975), Chap. 19.
  7. R. Normandin, V. C. Y. So, N. Rowell, and G. I. Stegeman, "Scattering of guided optical beams by surface acoustic waves in thin films," J. Opt. Soc. Am. 69, 1153–1165 (1979).
  8. V. C. Y. So, R. Normandin, and G. I. Stegeman, "Field Analysis of Harmonic Generation in Thin Film Integrated Optics," J. Opt. Soc. Am. 69, 1166–1171 (1979).
  9. M. Born and E. Wolfe, Principles of Optics (Macmillan, New York 1964).
  10. Eq. (25) is derived in Yariv5,6 from the equation [Equation] which follows from the Maxwell equations only if ∇-E(r,t) = 0. Such an assumption is, as shown above, not necessary to derive Eq. (25).
  11. K. W. Loh, W. S. C. Chang, W. R. Smith, and T. Grudkowski, "Bragg coupling efficiency for guided acoustooptic interaction in GaAs," Appl. Opt. 15, 156–166 (1976).

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