Semi-analytic model for dispersion relation of nanowire lasers

Mohammad-Azim Karami; Mehdi Ahmadi-Boroujeni; Ali Afzali-Kusha; Reza Faraji-Dana

2nd Internationa ICST Conference on Nano-Networks

Research Article

Semi-analytic model for dispersion relation of nanowire lasers

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@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

Mohammad-Azim Karami¹^,*, Mehdi Ahmadi-Boroujeni²^,*, Ali Afzali-Kusha¹^,*, Reza Faraji-Dana¹^,*

1: Nanoelectronics Center of Excellence, School of Electrical and Computer Engineering University of Tehran, Iran.
2: Center of Excellence for Applied Electromagnetics, School of Electrical and Computer Engineering University of Tehran, Iran.

*Contact email: m.a.karami@ece.ut.ac.ir, ahmadi.b@ece.ut.ac.ir, afzali@ut.ac.ir, reza@ut.ac.ir

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.

Keywords: Nanowire Dispersion Relation Transmission Line

Published: 2010-05-16
Modified: 2011-09-11

: http://dx.doi.org/10.4108/ICST.NANONET2007.2026