【摘要】 本文证明了不稳定谐振腔的本征值与本征函数的存在性,并证明了不稳定腔的本征值与本征函数组成可数的无穷序列;同时,指出了文献[1]所提出的ε近似本征值与δ近似本征函数的概念并不能真实反映实际不稳定谐振腔的损失与场分布,并指出了有限镜面不稳定谐振腔是具有选模特性的.更多还原

【Abstract】 The existence of eigenvalues and eigenfunctions of an unstable resonator is demonstrated. The number of these eigenvalues or eigenfunctions is shown to be infinite and denumerable. We point out that the ε-approximate eigenvalues and the e-approxi-mate eigenfunctions of the unstable resonator suggested in reference [1] can not express the real losses and the real field distributions of it. The characteristics of mode selection in the unstable resonator with finite mirror sizes are pointed out.更多还原