Abstract
Wave propagation in periodic structures is closely related to propagation of waves in continuous media. Thus, dispersion parameters such as wavenumber and wave impedance or permeability and permittivity, can be used to describe the propagation of waves in one-dimensional periodic structures like loaded or artificial transmission lines and waveguides, and in two- and three-dimensional structures like artificial lenses, transmit arrays and meta surfaces. In this chapter, the connection between transmission line theory and effective material parameters, that can be used to describe the propagation of waves in periodic lattices, is investigated. Furthermore, based on a general form of a transmission line model and effective material parameters, a physical limitation for dispersion characteristics and corresponding equivalent circuit are derived. Finally, the effect of discretization and finite unit cell size in periodic structures on effective material parameters is considered.
Published Version
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