Application of the matrix homogenization method to the Maxwell equations

摘要

The paper presents an illustrative application of the matrix homogenization method to estimate the effective parameters of layered structures. The model effectiveness is demonstrated for the Maxwell equations by means of the comparison of the analytical solution and simulated data. For this purpose, CST Microwave Studio, a full wave electromagnetic simulator, has been employed. The homogenization procedure is extremely simple and only matrix operations are involved. However, the procedure is only possible for equations of the special form, therefore, the main computational effort of the used method is to reduce the problem to the required form. Finally, the developed approach can be easily extended to block and cylindrical structures.