The interaction between spin and orbital components of the angular momentum of an elliptically polarized beam with helicoidal phase profile and arbitrary axially symmetric intensity profile in the third-harmonic generation process is investigated. The third-harmonic beam is generated in an isotropic medium with cubic nonlinearity within undepleted pump approximation. The conservation of the total projections of both the spin angular momentum and orbital angular momentum components in four-wave mixing is demonstrated for interacting waves.

中文翻译：

---

各向同性介质中三次谐波产生过程中自旋和轨道角动量的转换

研究了在三次谐波产生过程中具有螺旋相位分布和任意轴对称强度分布的椭圆偏振光束的角动量的自旋和轨道分量之间的相互作用。三次谐波光束是在非耗尽泵近似内具有三次非线性的各向同性介质中产生的。对于相互作用波，证明了四波混合中自旋角动量和轨道角动量分量的总投影的守恒。