Efficient recursive algorithms in the invariant imbedding T-Matrix Method for computation of light scattering

有效的数值模拟工具可以帮助理解光散射相互作用在光学粒子表征和设计新的表征方法。本项目的目标是开发和测试新的高效递归算法，在不变嵌入法中计算大的高度非球形和非均匀粒子的t矩阵，并以此方式模拟这些粒子的光散射。通过从理论出发，从算法走向实现，系统地考虑不变嵌入t矩阵方法，我们将寻找递归算法，这将使该方法更加有效。我们将实现该方法的完整3D变体，该方法尚未可用，并且将超越当前的艺术状态。新开发的方法将被纳入目前的（离散源零场法）NFM-DS的综合理论和计算框架。

Efficient numerical simulation tools can help to understand light scattering interactions in optical particle characterization and to design new characterization methods. The objective of this project is to develop and test new efficient recursive algorithms in the invariant imbedding method to compute the T-matrix for large highly nonspherical and inhomogeneous particles and in this way to simulate light scattering by such particles. By considering the invariant imbedding T-Matrix Method in a systematic way starting from theory, followed by algorithm towards implementation we will look for recursive algorithms, which will make the method more effective. We will implement a full 3D variant of the method, which is not yet available and which will be progressing beyond the current state of the art. The new developed method will be included into the current integrated theoretical and computational framework of the (Null-Field Method with Discrete Sources) NFM-DS.