A Rigorous, Coupled-Wave Transfer Matrix Method for Two-Dimensional Threshold Analysis of Distributed Feedback Semiconductor Lasers
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A rigorous, truly two-dimensional method for threshold analysis of distributed feedback (DFB) lasers based on a coupled wave transfer matrix formalism is presented. The method makes it possible to systematically study the effect of the various structural and material properties parameters of the laser on the threshold gain and lasing frequency. Since the optical fields inside and outside the laser are very accurately represented in our analysis, the small differences in gain of pairs of longitudinal laser modes symmetrically located on both sides of the gap can be more accurately calculated than in any previous work. The analysis is applicable to gratings of any shape for both the TE and TM modes, but numerical results are given only for first-order gratings with rectangular and triangular tooth-shape. Reflectivities of the laser end facets have been calculated from first principles in some typical cases rather than treated as given parameters.
Keywordsdistributed feedback (DFB) laser dielectric relief grating rigorous coupled-wave analysis (RGWA)
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- 22.M.G. Moharam and T.K. Gaylord, “Diffraction analysis of dielectric surface-relief gratings,” J. Opt. Soc. Am, 72, 1385 (1982).Google Scholar
- 23.M.G. Moharam and T.K. Gaylord, “Analysis and applications of optical diffraction gratings,” Proc. IEEE 73, 894 (1985).Google Scholar
- 24.E.N. Glytsis and T.K. Gaylord, “Rigorous three-dimensional coupled-wave diffraction analysis of single and cascaded anisotropic gratings,” J. Opt. Soc. Am. A 4, 2061 (1987).Google Scholar
- 25.E.N. Glytsis and T.K. Gaylord, “Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings,” J. Opt. Soc. Am. A 12, 1068 (1995).Google Scholar
- 26.M.G. Moharam, D.A. Pommet, E.B. Grann, and T.K. Gaylord, “Stable implementation of the rigorous coupled-wave Analysis for surface-relief gratings: Enhanced transmittance matrix approach,” J. Opt. Soc. Am. A 12, 1077 (1995).Google Scholar
- 27.L. Li, “Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings,” J. Opt. Soc. Am. A 13, 1024 (1996).Google Scholar
- 28.Ph. Lalanne and E. Silberstein, “Fourier-modal methods applied to waveguide computation problems,” Opt. Lett, 25, 1092 (2000).Google Scholar
- 29.E. Silberstein, Ph. Lalanne, J.P. Hugonin, and Q. Cao, “Use of grating theories in integrated optics,” J. Opt. Soc. Am. A 18, 2865 (2001).Google Scholar
- 30.Q. Cao, Ph. Lalanne, and J.P. Hugonin, “Stable and efficient Bloch-mode computational method for one-dimensional grating waveguides,” J. Opt. Soc. Am, A19, 335 (2002).Google Scholar
- 32.B. Gralak, S. Enoch, and G. Tayeb, “From scattering or impedance matrices to Bloch modes of photonic crystals,” J. Opt. Soc. Am. A 19, 1547 (2002).Google Scholar