Matrix Exponential Method Exploiting Field-Splitting Technique for Calculating Electromagnetic Response of Rotating Bodies: 2-D Configuration

We put forward a numerical method, which the matrix exponential and the field-splitting technique underlie, to solve the problem of the interaction between electromagnetic (EM) wave and rectangular rotating bodies. In such a method, the general results are obtainable in the time domain within the laboratory frame. The detail of deriving the discretized governing equation of EM fields in each computational cell jointly occupied by the rotating and surrounding media is given. A numerical test concerning the modulation effect of a rotating square dielectric on the incident EM plane wave is carried out for validation. Furthermore, the proposed method is applied to a rotating system comprising multiple separate bodies. Without loss of generality, a 2-D case is solely stressed.