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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 69, Iss. 9 — Sep. 1, 1979
  • pp: 1235–1242

Analysis of waveguided Gaussian beams coupled by misaligned or curved gratings

Amos Hardy and William Streifer  »View Author Affiliations

JOSA, Vol. 69, Issue 9, pp. 1235-1242 (1979)

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Coupled contradirectional mode equations are derived to describe Hermite-Gaussian beam interactions in corrugated thin-film waveguides when the grating teeth are curved and/or tilted. Coupling coefficients are evaluated for identical and hybrid modes. The problem of focusing a guided Gaussian beam by reflection from a curved grating is considered. It is shown that the grating curvature should serve to match the phase fronts of the contradirectional Gaussians and the grating should extend axially to include the region where the two beam widths are approximately equal.

© 1979 Optical Society of America

Amos Hardy and William Streifer, "Analysis of waveguided Gaussian beams coupled by misaligned or curved gratings," J. Opt. Soc. Am. 69, 1235-1242 (1979)

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  1. H. Kogelnik and C. V. Shank, "Coupled-wave theory of distributed feedback lasers," J. Appl. Phys. 43, 2327–2335 (1972).
  2. W. Streifer, D. R. Scifres, and R. D. Burnham, "Coupling coefficients for distributed feedback single- and double-heterostructure lasers," IEEE J. Quantum. Electron. QE- lI, 867–873 (1975).
  3. M. A. Di Forto, M. Papuchon, C. Puoch, P. Lnllomnand, D. R. Ostrowsky, "Tunable optically pumped GaAs-GaAlAs distributedfeedback lasers," IEEE. J. Quantum Electron., QE-14, 560–562, (1978).
  4. R. J. Capik and P. K. Tien, "Use of curved line gratings for diffraction of light in an optical waveguide," J. Opt. Soc. Am. 67, 1392A (1977).
  5. P. K. Tien, "Method of forming novel curved-line gratings and their use as reflectors and resonators in integrated optics", Opt. Lett. 1, 64–66 (1977).
  6. W. Streifer and A. Hardy, "Analysis of two dimensional waveguides with misaligned or curved gratings," IEEE J. Quantum. Electron. QE-14, 936–943 (1978).
  7. E. A. J. Marcatili, "Dielectric rectangular waveguide and directional coupler for integrated optics," Bell Syst. Tech. J. 48, 2071–2102 (1969).
  8. H. Kogelnilk and T. Li, "Laser beams and resonators," Appl. Opt. 5, 1550–1567 (1966).
  9. A. E. Siegman, An Introduction to Lasers and Masers, (McGraw-Hill, New York, 1971).
  10. A. Yariv, "Coupled-Mode Theory for Guided Wave Optics," IEEE J. Quantum Electron. QE-9, 919–933 (1973).
  11. H. Kogelnik, "Filter response of nonuniform almost-periodic structures" B.S.T.J. 55, 109–126 (1976).
  12. W. Streifer, D. R. Scifres, and R. D. Burnham, "Perturbation analysis of nonuniform almost-periodic Bragg reflectors," J. Opt. Soc. Am. 66, 1359–1363 (1976).
  13. L. B. W. Jolley, Summation of Series (Dover, New York, 1961). See number 1069, p. 198.
  14. G. A. Campbell and R. M. Foster, Fourier Integrals for Practical Applications (Van Nostrand, New York, 1948) p. 87.

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