Abstract: We analyze the mode behaviors for semiconductor lasers with an equilateral triangle resonator by deriving the mode field distribution and the eigenvalue equation. The eigenvalue equation shows that the longitudinal model wavelength interval is equivalent to that of a Fabry-Perot cavity with the cavity length of 1.5a, where a is the side length of the equilateral triangle resonator. The transverse waveguiding is equivalent to a strip waveguide with the width of $ROOT@3 a/2, and the number of transverse modes supported by the resonator is limited by the total reflection condition on the sides of the equilateral triangle. Semiconductor microcavity laser with an equilateral triangle resonator is suitable to realize single mode operation, and the mode wavelength can be adjusted by changing the side length. !11
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机译：摘要：通过推导模式场分布和特征值方程，我们分析了具有等边三角形谐振器的半导体激光器的模式行为。本征值方程表明，纵向模型波长间隔等于腔长度为1.5a的Fabry-Perot腔的波长间隔，其中a是等边三角形谐振器的边长。横向波导等效于宽度为$ ROOT @ 3 a / 2的带状波导，谐振器支持的横向模式的数量受等边三角形侧面全反射条件的限制。具有等边三角形谐振器的半导体微腔激光器适合实现单模工作，并且可以通过改变边长来调节模波长。 ！11
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