25 September 2007 Gain-scattering-matrix method for photonic crystal laser simulations
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We derive a light-intensity-dependent dielectric constant for gain medium based on the conventional rate equation model. A scattering-matrix method in conjunction with an efficient iteration procedure is proposed to simulate photonic crystal lasers (PCLs). The light output vs pumping (L-I) curve, lasing mode profile, and chirping effect of lasing wavelength can be calculated. We check our method in a 1D DBR laser and the L-I curve agrees well with results by the rate equation model. Our method can be extended to 3D systems. More complex 2D and 3D PCLs will be simulated in the future.
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Xinhua Hu, Jiangrong Cao, Ming Li, Zhuo Ye, Mamoru Miyawaki, Kai-Ming Ho, "Gain-scattering-matrix method for photonic crystal laser simulations", Proc. SPIE 6640, Active Photonic Crystals, 66400I (25 September 2007); doi: 10.1117/12.740982; https://doi.org/10.1117/12.740982

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