Analysis and numerical simulation of eigenmode characteristics forsemiconductor lasers with an equilateral triangle micro-resonator

摘要

The eigenmodes confined in the equilateral triangle resonatorn(ETR) are analyzed by deriving the eigenvalues and the mode fieldndistributions and by the finite difference time domain (FDTD) technique.nThe analytical results show that the one-period-length for the modenlight rays inside the ETR is the perimeter of the ETR, and the number ofntransverse modes is limited by the condition of total internalnreflection. In addition, the sum of the longitudinal mode index and thentransverse mode index should be an even number, which limits the numbernof confined modes again. Based on the FDTD technique and the Padenapproximation, we calculate the mode resonant frequencies and thenquality factors from the local maximum and the width of the spectralndistribution of the intensity. The numerical results of mode frequenciesnagree very well with the analytical results, and the quality factor ofnthe fundamental mode is usually higher than that of the higher orderntransverse modes. The results show that the ETR is suitable to realizensingle-mode operation as semiconductor microcavity lasers