In this paper, we derive the transition matrix of a nonspherical layered particle, consisting in a dielectric core and a metallic shell, in the non-local optical response theory. The key point in our analysis is the separation of the internal field within the shell into a transverse and a longitudinal field. The approach uses the null-field equations for the total field inside the particle and the transverse and longitudinal fields outside the metallic shell, the integral representation for the scattered field, the conventional boundary conditions for the transverse fields, and the additional boundary conditions for the normal components of the fields. Depending on the way in which the additional boundary conditions are treated, three methods for computing the transition matrix are proposed. When the non-local effects are neglected, the transition matrix becomes the transition matrix in the local optical response theory, and for a homogeneous particle, the transition matrix simplifies to that derived in a previous paper.

在本文中，我们根据非局部光学响应理论推导了非球形分层粒子的过渡矩阵，该粒子由介电核和金属壳组成。我们分析的重点是将壳内的内部场分为横向场和纵向场。该方法对粒子内部的总场和金属壳外部的横向和纵向场使用零场方程，对于散射场使用积分表示，对于横向场使用常规边界条件，并针对附加场条件使用零场方程。字段的正常组成部分。根据处理附加边界条件的方式，提出了三种计算过渡矩阵的方法。如果忽略了非局部影响，