【摘要】 应用电磁场理论和介质中的麦克斯韦方程组,推导了任意截面微腔的TM模光场分布。并以四极子状微腔截面为例,推导了含有传播常数的本征方程。用Mathematica软件模拟出具有不同变形因子的基模(m=1)和高阶模的光场分布图,得出基模在=45°,135°,225°,315°四个方向光辐射最强,具有“蝴蝶结模式”特征,并且当变形因子值取ε′为0.1~0.15时,该效应表现得更明显;而高阶模(m≥2)时微腔中没有这种光的定向输出现象,在任何变形因子情况下也不能形成稳定的“蝴蝶结模式”,为四极子微腔激光器的设计和制作提供了一定的理论依据。更多还原

【Abstract】 Using the theory of electromagnetic field and Maxwell equations in medium,we derive the TM mode optical field distribution of resonators with arbitrary cross section.Moreover,taking quadrupolar-shaped microcavity as example,it deduces the eigenvalue equation which contains the propagation constant.Using the software Mathematica,it stimulates the optical field distribution of fundamental mode(m=1) and high-order mode with the different deformation factors,and it is found that the fundamental mode gets the maximum of light emission at =45°,135°,225°,315°,it has the feature of "bow-tie" mode.Furthermore,when the deformation factor is 0.1～0.15,the effect is more obviously;however there is not the phenomenon of drawing out the light directionally in the microcavity when m≥2,and it does not form the stable "bow-tie" mode when the deformation factor gets any values.It provides a certain theoretical base for designing and making the quadrupolar-shaped microcavity lasers.更多还原