Skip to main content
Log in

Rigorous analysis of the reflection/transmission at the end-facets of DFB laser diodes

  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

A rigorous approach is presented for evaluation of reflection/transmission at the end-facets of distributed feedback (DFB) lasers. The calculations are based on a rigorous two-dimensional model to find the field distribution inside the periodic region. Moreover, it utilizes an efficient mode-matching procedure which is discussed in the paper. Although the end-facet effects in DFB lasers can rigorously be taken into account by using this approach, the computational efficiency can also be maintained quite high.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Akiba, S., K. Utaka, K. Sakai and Y. Matsushima. Distributed feedback InGaAsP/InP lasers with window region emitting at 1:5 lm range. IEEE, J. Quantum Electron. QE-19 1052–1057, 1983.

    Google Scholar 

  • Akbari, M., M. Shahabadi and K. Schünemann. A rigorous two-dimensional field analysis of DFB structures. Progress in Electromagnetics Research. PIER 22 197–212, 1999.

    Google Scholar 

  • Brooke, G.H. and M.Z. Kharadly. Step discontinuities on dielectric waveguides. Electron. Lett. 12(18) 473–475, 1976.

    Google Scholar 

  • Chinn, S.R. Effects of mirror reflectivity in distributed feedback lasers. IEEE, J. Quantum Electron. QE-9 574–581, 1973.

    Google Scholar 

  • Hardy, A. Exact derivation of the coupling coefficient in corrugated waveguides with rectangular tooth shape. IEEE, J. Quantum Electron. QE-20 1132–1139, 1984.

    Google Scholar 

  • Hori, Y. and H. Sato. Analysis of distributed feedback laser by two-dimensional theory. IEEE, J. Quantum Electron. QE-21 655–662, 1990.

    Google Scholar 

  • Kogelnik, H. Coupled-wave theory for thick hologram gratings. The Bell System Tech. J. 48 (9) 2909–2947, 1969.

    Google Scholar 

  • Kogelnik, H. and C.V. Shank. Stimulated emission in a periodic structure. Appl. Phys. Lett. 18 152–154, 1971.

    Google Scholar 

  • Kogelnik, H. and C.V. Shank. Coupled-wave theory of distributed feedback lasers. J. Appl. Phys. 43 2325–2335, 1972.

    Google Scholar 

  • Mahmoud, S.F. and J.C. Beal. Scattering of surface waves at a dielectric discontinuity on a planar waveguide. IEEE Trans. Microwave Theory Tech. MTT-23 193–198, 1975.

    Google Scholar 

  • Marcuse, D. Modes and Pseudomodes in dielectric waveguides. IEEE Trans. Microwave Theory Tech. MTT-18 62–63, 1970.

    Google Scholar 

  • Mittra, R. and S.W. Lee. Analytical techniques in the theory of guided waves. Macmillan Company, Newyork, 1976.

    Google Scholar 

  • Mittra, R., Y.L. Hou and V. Jamnejad. Analysis of open dielectric waveguides using mode-matching technique and variational methods. IEEE Trans. Microwave Theory Tech. MTT-28 36–43, 1980.

    Google Scholar 

  • Ogusu, K., S. Kawakami and S. Nishida. Optical strip waveguide: An analysis. Appl. Opt. 18 3725–3730, 1979.

    Google Scholar 

  • Peng, S. and A.A. Oliner. Guidance and leakage properties of a class of open dielectric waveguides: Part I and Part II. IEEE Trans. Microwave Theory Tech. MTT-29 843–869, 1981.

    Google Scholar 

  • Sato, H. and Y. Hori. Two-dimensional theory of distributed feedback lasers. IEEE, J. Quantum Electron. QE-21 467–472, 1990.

    Google Scholar 

  • Shahabadi, M. and K. Schünemann. A Network Model for Periodic Structures. SPIE International Conference on Millimeter and Submillimeter Waves and Application, San Diego, 10–14. January 1994.

  • Solbach, K. and I. Wolff. The electromagnetic fields and the phase constants of dielectric image lines. IEEE Trans. Microwave Theory Tech. MTT-26 266–274, 1978.

    Google Scholar 

  • Streifer, W., D.R. Scifres and R.D. Burnham. Coupling coefficients for distributed feedback single and double-heterostructure diode lasers. IEEE, J. Quantum Electron. QE-11 867–873, 1975.

    Google Scholar 

  • Streifer, W., R.B. Burnham and D.R. Scifres. Effect of external reflectors on longitudinal modes of distributed feedback lasers. IEEE, J. Quantum Electron. QE-11 154–161, 1975.

    Google Scholar 

  • Streifer, W., R.B. Burnham and D.R. Scifres. Coupled wave analysis of DFB and DBR lasers. IEEE, J. Quantum Electron. QE-13 134–141, 1977.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Akbari, M., Burkhard, H. & Schünemann, K. Rigorous analysis of the reflection/transmission at the end-facets of DFB laser diodes. Optical and Quantum Electronics 31, 893–907 (1999). https://doi.org/10.1023/A:1006942712627

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1006942712627

Navigation