A New Look at Azimuthal Wave Propagation Constants of an n-Layered Dielectric Coated PEC Cylinder

A method for determining the azimuthal wave propagation constants supported by an n-layered dielectric coated PEC cylinder is presented. The method, based on a Green's function described in

, is designed to optimally handle layered cylinders where the number of layers is extremely large as might be encountered in structures designed using transformational optics. The method is also tractable for any stratification profile without the need for individual layer analysis. We implement a recently developed numerical method to calculate Bessel functions of complex order and argument. Our method is verified by comparison with previously published results. We also present new results for a 5-layer case demonstrating self consistency and improved accuracy over published methods. Finally, to illustrate the method's benefits, we present a brief analysis of two multilayer structures; a multilayer variation of the coated cylinder presented in

and an example of a 7-layer case that approximates a material parameter gradient.