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Asymmetric first-order Bragg interactions in an active dielectric waveguide

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Abstract

The asymmetric first-order Bragg interactions in an active planar dielectric waveguide are investigated for the case of even TE modes. Either the index or the gain is assumed to have a sinusoidal variation in the propagation direction. By a singular perturbation procedure using multiple space scales, the coupled-mode equations governing the nature of the Bragg interactions are systematically deduced and the characteristics of this instability are examined. For the gain-modulated waveguide having an average loss, there are two threshold values for the modulation index of the gain, one for absolute instability and the other for traveling wave amplification, and these threshold values are deduced. Representative numerical results are presented to illustrate the characteristics of the Bragg interactions.

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References

  1. A. Yariv:Quantum Electronics, 2nd ed. (John Wiley, New York 1975) pp. 508–544

    Google Scholar 

  2. C. Elachi: Proc. IEEE,64, 1666 (1976)

    ADS  Google Scholar 

  3. S. Wang: IEEE J. QE-10, 413 (1974)

    Article  Google Scholar 

  4. S. Wang: Wave Electron.1, 31 (1974)

    ADS  Google Scholar 

  5. H. Kogelnik, C.V. Shank: Appl. Phys. Lett.18, 152 (1971)

    Article  Google Scholar 

  6. C.V. Shank, J.E. Bjorkholm, H. Kogelnik: Appl. Phys. Lett.18, 395 (1971)

    Article  Google Scholar 

  7. J.E. Bjorkholm, C.V. Shank: IEEE J. QE-8, 833 (1972)

    Article  Google Scholar 

  8. S.T. Peng, T. Tamir, H.L. Bertoni: IEEE Trans. MTT-23, 123 (1975)

    Article  Google Scholar 

  9. H. Kogelnik, C.V. Shank: J. Appl. Phys.43, 2327 (1972)

    Article  ADS  Google Scholar 

  10. A. Yariv: IEEE J. QE-9, 919 (1973)

    Article  Google Scholar 

  11. C. Elachi, C. Yeh: J. Appl. Phys.44, 3146 (1973)

    Article  ADS  Google Scholar 

  12. C. Elachi, C. Yeh: J. Appl. Phys.45, 3494 (1974)

    Article  ADS  Google Scholar 

  13. C. Elachi, G. Evans, C. Yeh: J. Opt. Soc. Am.65, 404 (1975)

    ADS  Google Scholar 

  14. W. Streifer, D.R. Scifres, R.D. Burnham: IEEE J. QE-11, 867 (1975)

    Article  Google Scholar 

  15. W. Streifer, R.D. Burnham, D.R. Scifres: J. Appl. Phys.46, 946 (1975)

    Article  ADS  Google Scholar 

  16. S.R. Seshadri: Appl. Phys.15, 377 (1978)

    Article  ADS  Google Scholar 

  17. A.H. Nayfeh:Perturbation Methods (Wiley, New York 1973)

    MATH  Google Scholar 

  18. R.J. Briggs:Electron-Stream Interaction with Plasmas (M.I.T. Press, Cambridge, MA 1964).

    Google Scholar 

  19. S.R. Seshadri: Appl. Phys.14, 35 (1977)

    Article  ADS  Google Scholar 

  20. A.I. Akhiezer, I.A. Akhiezer, R.V. Polovin, A.G. Sitenko, K.N. Stepanov:Plasma Electrodynamics, Vol. I: Linear Theory (Pergamon Press, New York 1975) p. 370

    Google Scholar 

  21. E.S. Cassedy, C.R. Evans: J. Appl. Phys.43, 4452 (1972)

    Article  ADS  Google Scholar 

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Seshadri, S.R. Asymmetric first-order Bragg interactions in an active dielectric waveguide. Appl. Phys. 17, 141–149 (1978). https://doi.org/10.1007/BF00885246

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