Research Article
Semi-analytic model for dispersion relation of nanowire lasers
@INPROCEEDINGS{10.4108/ICST.NANONET2007.2026, author={Mohammad-Azim Karami and Mehdi Ahmadi-Boroujeni and Ali Afzali-Kusha and Reza Faraji-Dana}, title={Semi-analytic model for dispersion relation of nanowire lasers}, proceedings={2nd Internationa ICST Conference on Nano-Networks}, proceedings_a={NANO-NET}, year={2010}, month={5}, keywords={Nanowire Dispersion Relation Transmission Line}, doi={10.4108/ICST.NANONET2007.2026} }- Mohammad-Azim Karami
Mehdi Ahmadi-Boroujeni
Ali Afzali-Kusha
Reza Faraji-Dana
Year: 2010
Semi-analytic model for dispersion relation of nanowire lasers
NANO-NET
ICST
DOI: 10.4108/ICST.NANONET2007.2026
Abstract
In this paper, a semi-analytical model for the dispersion relation of nanowire lasers is presented. The approach which is based on the multi-conductor transmission line modeling, makes use of the Fourier expansion technique. The cross-section of the nanowire is assumed to be hexagonally-shaped. To determine the accuracy, the model results are compared to the numerical results obtained from FDTD (finite difference time domain) technique. The model error when using 40 layers in the multi-conductor transmission line modeling and keeping 8 Fourier expansion elements is about 13 percent. The error is a function of the number of layers, the distance between the set of nanowires assumed for Fourier expansion, and the number of Fourier elements considered in the model.
