The discrete-dipole approximation (DDA) is a powerful method for calculatingabsorption and scattering by targets that have sizes smaller than or comparableto the wavelength of the incident radiation. The DDA can be extended to targetsthat are singly- or doubly-periodic. We generalize the scattering amplitudematrix and the 4 x 4 Mueller matrix to describe scattering by singly- anddoubly-periodic targets, and show how these matrices can be calculated usingthe DDA. The accuracy of DDA calculations using the open-source code DDSCAT isdemonstrated by comparison to exact results for infinite cylinders and infiniteslabs. A method for using the DDA solution to obtain fields within and near thetarget is presented, with results shown for infinite slabs.
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机译：离散偶极近似（DDA）是用于计算尺寸小于或等于入射辐射波长的目标的吸收和散射的强大方法。 DDA可以扩展到单周期或双周期目标。我们对散射振幅矩阵和4 x 4 Mueller矩阵进行了概括，以描述单周期和双周期目标的散射，并展示了如何使用DDA计算这些矩阵。通过与无限圆柱和无限平板的精确结果进行比较，证明了使用开源代码DDSCAT进行DDA计算的准确性。提出了一种使用DDA解决方案获取目标内和目标附近场的方法，并显示了无限平板的结果。
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