关于自散焦介质光束的诱导聚焦问题,二维理论模型与三维体材料中的实验结果只能定性而不能定量地吻合.只有三维理论模型才能定量地描述体材料中的实验现象,但这样的结果至今没有报道.讨论了三维空间中具有一定夹角的双光束传输问题,严格推导出这种情形下的光束耦合传输方程,并且证明了对小夹角双光束传输过程的描述,可以通过具有对横向空间坐标线性"啁瞅"相位的初始条件和平行双光束非线性薛定谔耦合方程构成的Cauchy(初值)问题来实现.三维理论模型的数值模拟结果和Stentz的实验结果定量地吻合.
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