Analysis of Circular and Noncircular Waveguides and Striplines With Multilayered Uniaxial Anisotropic Medium

Analysis of Elliptical Waveguides With Anisotropic Dielectric Layers

“…The even and odd angular Mathieu functions, represented with Ce and So, respectively, are solutions of the Mathieu differential equation (13). The functions Je, Jo and Ne, No are radial Mathieu functions of the first and second kind which come from the solution of the modified Mathieu differential equation (14).…”

“…The discrete mode matching method has been proven to be an efficient spectral or spatial domain numerical method for the full-wave analysis of multilayered microwave structures such as waveguides, striplines and microstrip antennas [10]- [13]. References [12] and [13] take into account anisotropic layered media in the structures. The method has the advantage that we need to discretize the transmission line structures only in one direction while we use the analytical solution in the remaining directions.…”

“…The increase in the discretization lines is equivalent to the increase in the number of modes used for the field expansion due to the Nyquist-Shannon sampling theorem. References [10], [11], [13] also discuss about the convergence of the DMM computations with respect to the discretization lines on the structure. DMM provides smooth convergence of the results.…”

“…DMM provides smooth convergence of the results. In [13], we have dealt with elliptical structures using a cylindrical coordinate system. The goal of this paper is to extend the DMM method to directly deal with an elliptical coordinate system.…”

Multilayered Transmission Lines on Quasi-planar Substrates With Anisotropic Medium

“…Here the focus is on the full-wave analysis method known as discrete mode matching (DMM) method, which was earlier successfully used to analyze microwave structures with high accuracy. For example, Kamra and Dreher (2018a) explained the DMM formulation to analyze transmission lines with multiple strips, Kamra and Dreher (2019) dealt with circular and non-circular dielectric layers with uniaxial anisotropy. The conformal transmission lines with quasi-planar substrate were also examined using this method but with isotropic media (Dreher and Ioffe, 2000).…”