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

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... 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.