Rigorous Multimode Equivalent Network Representation of Multilayer Planar Circuits

Abstract

The objective of this paper is to extend the use of the Multimode Equivalent Network formulation, originally developed to analyze waveguide junctions, to the analysis of planar circuits that include arbitrary rectangular printed, zero thickness metallizations together with internal and external ports in the transverse plane. The theoretical derivations lead to an accurate and computationally efficient tool for the analysis of boxed, multilayer microwave printed circuits. In addition to theory, the tool developed is used here to analyze two practical examples: a dual-bandpass and a 4-pole bandpass boxed microstrip filters. Good agreement with respect to commercial software tools and measurements is shown, thereby fully validating the theoretical formulation.

Multimode Equivalent Network for Boxed Multilayer Arbitrary Planar Circuits

“…However, these original formulations do not include the ports in the transverse plane that are needed for the excitation of printed microstrip and multilayer circuits. The first works to do so with the MEN technique, to the authors' knowledge, are [22] and [23]. In these works, the authors derived the MEN formulation for the analysis of multilayer planar circuits composed of rectangular printed metallizations using an electric field formulation.…”

“…In these works, the authors derived the MEN formulation for the analysis of multilayer planar circuits composed of rectangular printed metallizations using an electric field formulation. In addition, the formulation in [22] and [23] is still limited to areas with a rectangular shape, where entire domain basis functions are known analytically.…”

“…In this article, we present an extension of the method proposed in [22] and [23] to the case of multilayer circuits that are composed of printed metallic patches with arbitrary shape (like the one shown in Fig. 1).…”

“…However, this is the first time that a MEN formulation is combined with BI-RME for the analysis of arbitrarily shaped printed metallizations in a multilayered environment. Another important difference with respect to [22] and [23] is that we use a magnetic field formulation to derive the fundamental IEs. Following this approach, the unknowns of the problem are magnetic currents defined in the aperture, instead of the electric currents induced on the metallic areas.…”

Investigación en técnicas numéricas basadas en ecuación integral para el análisis y diseño de dispositivos de microondas para comunicaciones espaciales

“…The articles related to this chapter that have been published in technical journals or international conferences are: Gomez- Molina et al (2018a) and Gomez-Molina et al (2019).…”