Calderón Strategies for the Convolution Quadrature Time-Domain Electric Field Integral Equation

Autor: Pierrick Cordel, Alexandre Dely, Adrien Merlini, Francesco P. Andriulli
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: IEEE Open Journal of Antennas and Propagation, Vol 5, Iss 2, Pp 379-388 (2024)
Druh dokumentu: article
ISSN: 2637-6431
DOI: 10.1109/OJAP.2024.3354044
Popis: In this work, we introduce new integral formulations based on the convolution quadrature method for the time-domain modeling of perfectly electrically conducting scatterers that overcome some of the most critical issues of the standard schemes based on the electric field integral equation (EFIE). The standard time-domain EFIE-based approaches typically yield matrices that become increasingly ill-conditioned as the time-step or the mesh discretization density increase and suffer from the well-known DC instability. This work presents solutions to these issues that are based both on new Calderón strategies and quasi-Helmholtz projectors regularizations. In addition, to ensure an efficient computation of the marching-on-in-time, the proposed schemes leverage properties of the Z-transform—involved in the convolution quadrature discretization scheme—when computing the stabilized operators. The two resulting formulations compare favorably with standard, well-established schemes. The properties and practical relevance of these new formulations will be showcased through relevant numerical examples that include canonical geometries and more complex structures.
Databáze: Directory of Open Access Journals