For the case of hexagonal ZnO waveguides the Helmholtz equation is solved numerically taking into account the anisotropy of both index of refraction and gain, as well as the material dispersion. The intensity distribution of all waveguide modes, their energy dependence, and the confinement as a function of the nanorod diameter are discussed. The authors apply these model calculations to determine the coupling of nanorod lasers in dense arrays and to optimize the geometry of nanorods for single mode lasing.
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Hauschild et al. (2006) studied this question.
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