Interaction equations of multi-spheres illuminated by arbitrary incident Gaussian beam

摘要

Based on the standard electromagnetic boundary condition of aggregate sphere's theory in plane wave incident case induced by Xu, this paper studied the interactions theory between an arbitrary shaped beam and aggregate spheres. As we set the incident field expansion coefficients as unknown, so it seems easier to solve the scattered field expansion coefficients in the interaction equations. The most challenge task left now for arbitrary shaped beam incident case is to solve the incident field expansion coefficients. Thought out lots of equations derived, we get the same results as Gouesbet but in a totally different way.