The special features of the second harmonic generation by a spherical nanoparticle with a plasmon shell are theoretically studied. Within the framework of quasistatic perturbation theory, expressions are derived for the induced dipole and quadrupole moments of the particle oscillating with a doubled frequency. The second harmonic radiation power has been calculated showing the resonance nature of the dependence of the power on the exciting wavelength. Moreover, the positions of resonances of the radiation power depend significantly on the dielectric permittivity of the particle core and its size.

中文翻译：

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层状等离子体纳米粒子产生第二次光学谐波

理论上研究了具有等离子体激元壳的球形纳米粒子产生二次谐波的特殊特征。在准静态摄动理论的框架内，推导了以双倍频率振动的粒子的感应偶极和四极矩的表达式。已经计算出二次谐波辐射功率，其示出了功率对激发波长的依赖性的共振性质。此外，辐射功率的谐振位置在很大程度上取决于粒子核的介电常数及其尺寸。