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.