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Coupled-Wave Theory of Distributed Feedback Lasers

J. Appl. Phys. 43, 2327 (1972); doi:10.1063/1.1661499

Issue Date: May 1972

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H. Kogelnik and C. V. Shank
Bell Telephone Laboratories, Holmdel, New Jersey 07733
An analysis of laser action in a periodic structure is presented. A model of two counter-running waves coupled by backward Bragg scattering is used. The resonant frequencies and threshold criteria for the modes of oscillation have been determined for both index and gain periodicities. Analytical approximations are given for both the high- and low-gain cases, and computational results for the intermediate regimes. ©1972 The American Institute of Physics
History: Received 13 September 1971
Permalink: http://link.aip.org/link/?JAPIAU/43/2327/1
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ISSN:
0021-8979 (print)   1089-7550 (online)
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REFERENCES (11)

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  1. H. Kogelnik and C. V. Shank, Appl. Phys. Letters 18, 152 (1971).
  2. C. V. Shank, J. E. Bjorkholm, and H. Kogelnik, Appl. Phys. Letters 18, 395 (1971).
  3. L. D. Derkacheva and A. I. Krymova, Zh. Eksperim. i Teor. Fiz. Pis'ma Redaktsiyu 9, 564 (1969).
  4. H. Inaba, Proceedings of the Symposium on Submillimeter Wave (Polytechnic Institute of Brooklyn, Brooklyn, N.Y., 1970).
  5. B. Batterman and H. Cole, Rev. Mod. Phys. 36, 681 (1964).
  6. C. F. Quate, C. D. Wilkinson, and D. K. Winslow, Proc. IEEE 53, 1604 (1965);
  7. E. I. Gordon, Proc. IEEE 54, 1391 (1966).
  8. H. Kogelnik, Bell System Tech. J. 48, 2909 (1969). Note that we use, here, a different sign definition of alpha in order to have positive gain for positive values of alpha.
  9. H. E. Rowe, Bell System Tech. J. 43, 261 (1964).
  10. J. A. Fleck, J. Appl. Phys. 34, 2997 (1963).
  11. L. Brillouin, Wave Propagation in Periodic Structures (McGraw-Hill, New York, 1946).
  12. T. Tamir, H. C. Wang, and A. Oliner, IEEE Trans. Microwave Theory Tech. MTT-12, 323 (1964).

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