Efficient Broadband Circuit-Modeling Approach for Parallel-Plane Structures of Arbitrary Shape

A Foster-Type Field-to-Transmission Line Coupling Model for Broadband Simulation

“…with the modal equivalent-circuit elements The second term (1/k 2 n ) in (12) corresponds to jω L n , according to (17) for k, ω→ 0. Rearranging (12), we finally obtain the equivalent-circuit impedance solution…”

“…Hence, the proposed method is more reliable than the classical model of cascaded lumped-element cells, for which no simple relation for the model-order estimation exists [3]. This approach has been recently developed for parallel-plane structures [17] and is adopted in this paper to the 1-D case of a homogeneous TL, which may have an arbitrary number of terminals. The model is extended for the first time to account for the coupling of incident external electromagnetic fields, using voltage and modal equivalent current sources.…”

“…The inclusion of losses in (3) is accomplished in the usual manner, by a complex-valued propagation constant k, which is a good approximation in the case of small losses [17] k…”

Broadband field coupling model of transmission lines based on Foster-type equivalent-circuit

“…Another group of methods solves the problem via numerical methods such as the Finite-Difference Time-Domain Method (FDTD) [9] or the Time-Domain Finite-Element Method (TDFE) [10]. In this contribution an approach is used, which has been recently developed for parallel-plane structures [13] and is and , respectively adopted for TL's in [15]. The model is extended for the first time to account for the coupling of incident external electromagnetic fields, using voltage and modal equivalent current sources.…”

“…The inclusion of losses in (3) is accomplished in the usual manner, by a complex-valued propagation constant , which is a good approximation in the case of small losses [13]:…”