Comparing the responses of a layered material to EMG waves from a pulse source

The authors report on an analysis of conditions on the boundary between layers having varied electromagnetic properties. The research is performed using consistent theoretical derivation of analytical formulas, and the underlying problem is considered also in view of multiple boundaries.The paper includes a theoretical analysis and references to the generated algorithms. The main algorithm was assembled to enable simple evaluation of all components of the electromagnetic field in relation to the speed of the wave propagation in a heterogeneous environment. The proposed algorithms are compared by means of different numerical methods via the wave equation in the ANSYS; moreover, electromagnetic field components in common points of the model are also subject to comparison. This analytical solution includes the time-dependent propagation of electromagnetic waves in a heterogeneous medium and evaluates the distribution of the electromagnetic field on the surfaces of the boundaries at certain moments of time. When in conjunction with tools facilitating the analysis of material response to the source of a continuous signal, the algorithms constitute a supplementary instrument for the design of a layered material. Advantageously, the presented analysis allows us to acquire an accurate solution of the response of an electromagnetic field to very short pulses and transient or continuous exciting electromagnetic sources.