电光效应的自相似性

通过对KNbO₃,LiNbO₃,BaTiO₃及几种半导体晶体的电光系数进行数值分析，发现电光系数在自由状态和受夹状态下对应的Miller-δ系数相同，与外加电场频率无关，进而提出用Miller-δ系数表征晶体非线性光学性质.在此基础上，提出一种全新的电光效应产生机制，认为电光效应源于非线性系统的自相似性，表现为对线性性质的一种“自我复制”，而Miller-δ系数是“自我复制”的比例因子. 关键词： 电光效应 非线性光学 自相似性

Self-similarity of the electro-optical effects

Based on the electro-optical coefficients, the Miller-δ coefficients of KNbO₃, LiNbO₃, BaTiO₃ and several semiconductor crystals were calculated. The results show that the coefficients are frequency independent and are the same for unclamped and clamped values, so it is feasible to take the Miller-δ coefficients to characterize the nonlinear optical properties. Furthermore, a novel mechanism of the electro-optical effects is presented which maintains that the electro-optical effect results from the self-similarity of the nonlinear system, manifested as the recopy of the linear properties and the Miller-δ coefficients are the proportion factors of self-copy.