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Optical Second-harmonic Scattering From Cylindrical Particles

机译：圆柱粒子的光学二次谐波散射

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摘要

The theory of optical second-harmonic (SH) scattering from finite cylinders of arbitrary size, orientation, and crystallographic structure is developed within the Rayleigh-Gans-Debye approximation for plane-wave excitation. Both cases of particles comprised of noncentrosymmetric and centrosymmetric media are examined. For particles comprised of noncentrosymmetric media, all nonlinear susceptibility elements share a common "linear" scattering form factor. For centrosymmetric media, the various nonlinear susceptibility components arising from the surface response experience different scattering form factors. Regardless of the type of media, SH scattering from finite cylinders may be described in terms of an effective nonlinear susceptibility tensor for the particle. Several essential aspects of the SH scattering process are analyzed, such as the radiation patterns and their dependence on particle orientation and input polarization, its chiral response, as well as the size and wavelength scaling for small particles.
机译：在平面波激发的瑞利-甘斯-德拜近似中，发展了从任意大小，方向和晶体结构的有限圆柱体产生的光学二次谐波（SH）散射的理论。检查了由非中心对称和中心对称介质组成的颗粒的两种情况。对于由非中心对称介质组成的粒子，所有非线性磁化率元素共享一个公共的“线性”散射形状因数。对于中心对称介质，由表面响应引起的各种非线性磁化率分量经历不同的散射形状因数。无论介质的类型如何，都可以根据粒子的有效非线性磁化率张量来描述有限圆柱体的SH散射。分析了SH散射过程的几个基本方面，例如辐射图及其对粒子方向和输入偏振的依赖性，其手性响应以及小粒子的尺寸和波长缩放。

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