Abstract
We present a detailed analysis of the transverse localization of light in a triangular optical lattice with a negative defect of different depths and positions. The analysis allows us to explore some essentials of the localization behavior. We characterize the localization strength by global propagation of the signal beam and its properties on the output plane. It is demonstrated that the enhancement of the localization is dependent on the defect depth. Additionally, the calculation of the ray trace of the signal beam shows that the position of the defect has a crucial influence on the localization.
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