%0 Journal Article
%J Physical Review B
%D 2008
%T Modeling of three-dimensional photonic crystal lasers in a frequency domain: A scattering matrix solution
%A Hu, X. H.
%A Cao, J. R.
%A Li, M.
%A Ye, Z.
%A Miyawaki, M.
%A Ho, K. M.
%K AMPLIFICATION
%K light
%K LOCALIZATION
%K media
%K NANOCAVITY
%K SPONTANEOUS EMISSION
%K system
%M ISI:000256971800021
%P 205104
%R 10.1103/PhysRevB.77.205104
%V 77
%X We derive a light-intensity-dependent dielectric constant for a 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 the lasing wavelength XL can be calculated. We check our method in a one dimensional distributed Bragg reflector laser and simulate a complex three dimensional woodpile PCL to test the capabilities of our model. We found that PCLs with a more uniform field distribution in the gain media will have higher L-I slope efficiencies as well as more stable lasing wavelengths lambda(L).
%8 May
%9 Article
%@ 1098-0121