Johnson B R
Appl Opt. 1996 Jun 20;35(18):3286-96. doi: 10.1364/AO.35.003286.
The recurrence algorithm for calculating electromagnetic scattering from a multilayer sphere, which was described recently by Wu and Wang [Radio Sci. 26, 1393, (1991)], is derived in a slightly modified form and extended to include a calculation of the internal field and the absorption cross sections of the individual layers. The original algorithm calculates the scattering by a recurrence procedure that propagates the log derivatives of the Debye potentials outward from the core to the outer layer. The extended algorithm then continues the calculation by an inward recurrence procedure that propagates the Debye potentials from the outer layer to the core. Concurrent with the inward propagation, a separate algorithm calculates the absorption cross sections of the imbedded concentric spheres. The results of several example calculations are presented, including the differential cross section and internal electric field of a Luneburg lens.
吴和王[《无线电科学》26, 1393, (1991)]最近描述的用于计算多层球体电磁散射的递推算法，以一种略有修改的形式推导得出，并扩展到包括内部场和各层吸收截面的计算。原始算法通过一个递推过程来计算散射，该过程将德拜势的对数导数从核心向外层传播。然后，扩展算法通过一个向内的递推过程继续计算，该过程将德拜势从外层传播到核心。在向内传播的同时，一个单独的算法计算嵌入同心球体的吸收截面。给出了几个示例计算的结果，包括伦伯格透镜的微分截面和内部电场。
