Question

Explain Point Matching method.

Answer 1

In this method the fields outside and inside a particle are represented by expansions in term of proper basis functions (practically always the vector spherical harmonics). Since the particle surface does not coincide with the coordinate surface, it is impossible to satisfy the boundary conditions exactly, and the expansions are limited by a finite number of terms, and the boundary conditions are considered in a finite set of points (matching points). From the derived system of equations one finds the expansion coefficients.

Answer 2

Point matching method. ... Since the particle surface does not coincide with the coordinate surface, it is impossible to satisfy the boundary conditions exactly, and the expansions are limited by a finite number of terms, and the boundary conditions are considered in a finite set of points (matching points).