Electromagnetic Wave Propagation Through Two Coaxial Transformation-based Cylindrical Media

Maxwell’s wave equation is solved analytically in a general medium designed by transformation optics theory with a general form of transformation function on radial coordinate in a cylindrical polar coordinate system. Some well-known examples such as interior invisibility cloak, concentrator and external cloak are solved according to this approach. We particularly concentrate on the external invisibility cloak which was not considered before. In order to investigate the functionality and correctness of the solutions, some simulations with different form of transformation functions are created according to this approach and the simulations are compared with the ones obtained by another method (finite element). Comparison of the results extracted from the two methods show a very good coincidence in all cases.