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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 16 — Aug. 8, 2005
  • pp: 5994–5999

Electromagnetic approach to laser resonator analysis

Tuomas Vallius, Jani Tervo, Pasi Vahimaa, and Jari Turunen  »View Author Affiliations


Optics Express, Vol. 13, Issue 16, pp. 5994-5999 (2005)
http://dx.doi.org/10.1364/OPEX.13.005994


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Abstract

An electromagnetic method based on rigorous diffraction theory of gratings is introduced to analyze the modal structure of semiconductor laser cavities. The approach is based on the use of the Fourier Modal Method, the S-matrix algorithm, and the formulation of an eigenvalue problem from which the wave forms and eigenvalues of the modes can be determined numerically. The method is completely rigorous for infinitely periodic laser arrays and is applicable to individual laser resonators with the introduction of imaginary absorbing regions.

© 2005 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(050.1970) Diffraction and gratings : Diffractive optics
(140.0140) Lasers and laser optics : Lasers and laser optics
(140.3410) Lasers and laser optics : Laser resonators

ToC Category:
Research Papers

History
Original Manuscript: June 23, 2005
Revised Manuscript: July 18, 2005
Published: August 8, 2005

Citation
Tuomas Vallius, Jani Tervo, Pasi Vahimaa, and Jari Turunen, "Electromagnetic approach to laser resonator analysis," Opt. Express 13, 5994-5999 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-16-5994


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References

  1. A. Yariv, Optical Electronics, 3rd ed. (College Publishing, Holt, 1985).
  2. A. E. Siegman, Lasers (University Science Books, Mill Valley, 1986).
  3. A. G. Fox and T. Li, �??Resonant modes in a maser interferometer,�?? Bell Syst. Tech. J. 40, 453�??458 (1961).
  4. M. Mansuripur, Classical Optics and its Applications (Cambridge University Press, Cambridge, 2002).
  5. A. Taflove and S. C. Hagness, Computational Electrodymanics: The Finite-Difference Time-Domain Method, 2nd ed. (Artech House, Boston, 2000).
  6. K. Knop, �??Rigorous diffraction theory for transmission phase gratings with deep rectangular grooves,�?? J. Opt. Soc. Am. 68, 1206�??1210 (1978). [CrossRef]
  7. L. Li, �??Use of Fourier series in the analysis of discontinuous periodic structures,�?? J. Opt. Soc. Am. A 13, 1870�??1876 (1996). [CrossRef]
  8. J. Turunen, �??Diffraction theory of microrelief gratings,�?? in Micro-Optics: Elements, Systems, and Applications, H. P. Herzig, ed., chap. 2 (Taylor & Francis, London, 1997).
  9. L. Li, �??Formulation and comparison of two recursive matrix algorithms for modelling layered diffraction gratings,�?? J. Opt. Soc. Am. A 13, 1024�??1035 (1996). [CrossRef]
  10. L. Li, �??Mathematical Reflections on the Fourier modal method in Grating Theory,�?? in Mathematical Modeling in Optical Science, G. Bao, L. Cowsar, and W. Masters, eds., pp. 111�??139 (SIAM, Philadelphia, 2001). [CrossRef]
  11. P. Vahimaa, M. Kuittinen, J. Turunen, J. Saarinen, R.-P. Salmio, E. Lopez Lago, and J. Liñares, �??Guided-mode propagation through an ion-exchanged graded-index boundary,�?? Opt. Commun. 14, 247�??253 (1998). [CrossRef]
  12. P. Lalanne and E. Silberstein, �??Fourier-modal method applied to waveguide computational problems,�?? Opt. Lett. 25, 1092�??1094 (2000). [CrossRef]
  13. J. Tervo, M. Kuittinen, P. Vahimaa, J. Turunen, T. Aalto, P. Heimala, and M. Leppihalme, �??Efficient Bragg waveguide-grating analysis by quasi-rigorous approach based on Redheffer�??s star product,�?? Opt. Commun. 198, 265�??272 (2001). [CrossRef]
  14. M. G. Moharam and A. Greenwell, �??Integrated Output Grating Coupler in Semiconductor Lasers,�?? in 2004 ICO International Conference Optics & Photonics in Technology Frontier, pp. 543�??544 (ICO, Tokyo, 2004).

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