Full-Wave Model of Frequency-Dispersive Media With Debye Dispersion Relation by Circuit-Oriented FEM

Abstract

Dispersive materials play an important role in a wide variety of applications (e.g., waveguides, antenna structures, integrated circuits, bioelectromagnetic applications). In this paper, a full-wave finite-element method (FEM-SPICE) technique for modeling dispersive materials is proposed. A finite-element formulation employing Whitney elements capable of analyzing electromagnetic geometries with dispersive media is described, and a Norton equivalent network is developed for each element. The overall network can be analyzed using a circuit simulator based on SPICE, and is suitable for both frequency- and time-domain analysis. This approach exploits the flexibility of finite-element mesh generation and computational efficiency of modern circuit simulators. Simple test configurations are analyzed to validate the proposed formulation

Fractional Calculus Based FDTD Modeling of Layered Biological Media Exposure to Wideband Electromagnetic Pulses

“…By using (2) in the frequency bandwidth ranging from f min = 100 MHz to f max = 10 GHz and considering N = 2, the HN parameters recovered for each medium are listed in Table 1. …”

“…The modeling of electromagnetic field propagation through dispersive materials is a subject of increasing research activities since these dielectric media are found in a growing number of applications [1][2][3][4][5][6][7]. In particular, biological tissues are an important class of dispersive media especially taking into account that their interaction with the electromagnetic fields has a great influence on the behavior of living systems.…”

Compact paper‐substrate rat‐race coupler deploying modified stepped impedance stub and interdigitated slot resonator for wide‐band harmonic suppression

“…ℰ r and ℰ eff refer to the relative permittivity and the effective permittivity of the substrate, respectively. Further, based on Debye's first‐order model [18] it is found that the material dispersion does not have much impact on the performance of the device.…”

Performance evaluation of a dual band paper substrate wireless sensor networks antenna over curvilinear surfaces

“…The main issue with this substrate is the increased dielectric loss at higher frequencies [12]. The lossy nature of a substrate and the change in dielectric constant as a function of frequency can be found out from Debye's first order model of dielectric dispersion [16]. The calculated dielectric constant and loss tangent based on this mathematical model is shown in Fig.…”

“…2. The frequency dependency of dielectric constant is also discussed in [16]. It can be observed that εr = 3.06 and tan δ = 0.053 at 5.4 GHz.…”