Transient Analysis of the Electromagnetic Field for a Wave Absorber in Three-Dimensional Space

In recent years, large-scale structures such as tall buildings, large bridges, and towers cause severe reflection and diffraction in the propagation of electromagnetic waves. The most effective means for improvement of these characteristics is coating an electromagnetic wave absorber on the surfaces of structures. At the present time, determination of the performance of a coating and the estimation of its effects are carried out on a practical basis. Beforehand, however, theoretical clarification of absorbing characteristics is necessary for better design of a structure. This analysis demands the unified treatment involving both characteristics of absorber materials and the shapes in three-dimensional space of structures to which they are applied. Also, the analysis of propagation characteristics of a pulse wave in the time domain will be important. In this paper, we report the fundamental treatment of absorbing characteristics, including boundary conditions of the structure. The method of time-domain analysis in three-dimensional space and time is used. This method is formulated by Bergeron's method and based upon the equivalent circuit of both Maxwell's equation and characteristics of the medium. As an example, the performance of a very thin coating of absorber with magnetic loss is presented. The variations of field distribution for changes of magnetic-loss term including permeability and the frequency of incident wave, are shown. The absorbing characteristics for a pulse wave in the time domain are also given as a parameter of incidence angle.