CAD-oriented general circuit description of uniform coupled lossy dispersive waveguide structures

A general full-wave circuit description of uniform coupled lossy dispersive waveguide structures is presented. Starting from Maxwell´s equations, the generalized coupled telegrapher´s equations are found directly, and the frequency dependent line parameter matrices R(ω), G(ω), L(ω), and C (ω) are defined in an unambiguous way. A symmetric high-frequency characteristic impedance matrix Z_c(ω) is introduced which is much more suited for circuit simulation purposes than traditional line-mode impedances. The reciprocity relation is explicitly taken into account. The complete power distribution over the different modes and different lines is calculated in a rigorous and concise way. The major advantage of this high-frequency model is its simple circuit-interpretation and its compatibility with the well-known quasi-static circuit models. The matrix formalism is used throughout. This guarantees a compact, easily implementable, and very general description which is well suited for CAD applications