We derive wave equations for fifth-harmonic generation in cubic centrosymmetric crystals in direct and indirect processes when an incident electric field propagates along a cubic axis. We elucidate the dependence of fifth-harmonic fields on crystal length and polarization directions of an incident field. We also devise a method to measure elements of a fifth-order nonlinear susceptibility tensor in the transparent regime by measurement of fifth-harmonic intensity from crystals of different lengths.

中文翻译：

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立方中心对称晶体中的第五谐波产生理论

当入射电场沿立方轴传播时，我们可以得出直接和间接过程中立方中心对称晶体中第五谐波产生的波动方程。我们阐明了第五谐波场对入射场的晶体长度和偏振方向的依赖性。我们还设计了一种方法，可以通过测量不同长度晶体的五次谐波强度来测量透明状态下的五阶非线性磁化率张量的元素。