Circuit Oriented Electromagnetic Modeling Using the PEEC Techniques

Chapter 10PEEC Models for Dielectrics

Many practical problems include dielectric insulating materials, substrates, dielectric coatings, and other applications of dielectric materials. Hence, it is important to also include dielectrics in partial element equivalent circuit (PEEC) models. A fundamental, physics-based representation of the dielectric issues is presented in [1]. We concentrate on inclusion of several different dielectric circuit-oriented models in PEEC to cover a wide range of applications.

Specifically, three different issues are considered in this chapter. First, we treat the electrical description of dielectric materials in the time and frequency domains. Second, we consider different approaches for the description of the properties of dielectrics such that they can be included in the solution. Third, we present approaches for the inclusion of dielectrics in a PEEC model.

10.1 Electrical Models for Dielectric Materials

10.1.1 Frequency and Time Domain Models for Dielectric Materials

Dielectrics can be lossless or lossy, and the dielectric constant can be frequency or time dependent or independent. Hence, models must be available and suitable for many different cases. Today, the inclusion of frequency or time dependence in dielectrics is important as the ever-increasing frequencies present challenges.

Clearly, the most simple dielectric model in PEEC is if a ...