论文标题
广义光学定理用于传播不变光束
Generalized optical theorem for propagation invariant beams
论文作者
论文摘要
许多实际应用需要使用不同的照明来源分析局部结构的电磁散射特性。光学定理（OT）是散射理论的有用结果，将结构灭绝与向前方向的散射幅度有关。 OT的最常见推导是为平面波提供的，但是光学工程的进步现在允许激光束塑形，这可能需要扩展的定理，其中撞击源是一个结构化场。在这项工作中，我们根据经典电磁理论得出了光学定理的表达，该探针源是基于传播不变梁的探针源。我们使用远场中的积分散射幅度近似获得了差分散射横截面的一般表达。我们还通过改变入射角，在雷利近似下通过介电球分析了零级贝塞尔束的散射问题。
Many practical applications require the analysis of electromagnetic scattering properties of local structures using different sources of illumination. The Optical Theorem (OT) is a useful result in scattering theory, relating the extinction of a structure to the scattering amplitude in the forward direction. The most common derivation of the OT is given for plane waves but advances in optical engineering now allow laser beam shaping, which might require an extended theorem where the impinging source is a structured field. In this work, we derive an expression for the optical theorem based on classical electromagnetic theory, for probe sources given in terms of propagation invariant beams. We obtain a general expression for the differential scattering cross section using the integral scattering amplitude approximation in the far field. We also analyze the scattering problem of a zero order Bessel beam by a dielectric sphere, under the Rayleigh approximation by varying the angle of incidence.
