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In this work, we introduce new integral formulations based on the convolutionquadrature method for the time-domain modeling of perfectly electricallyconducting scatterers that overcome some of the most critical issues of thestandard schemes based on the electric field integral equation (EFIE). Thestandard time-domain EFIE-based approaches typically yield matrices that becomeincreasingly ill-conditioned as the time-step or the mesh discretizationdensity increase and suffer from the well-known DC instability. This workpresents solutions to these issues that are based both on new Calder\'onstrategies and quasi-Helmholtz projectors regularizations. In addition, toensure an efficient computation of the marching-on-in-time, the proposedschemes leverage properties of the Z-transform -- involved in the convolutionquadrature 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 newformulations will be showcased through relevant numerical examples that includecanonical geometries and more complex structures.

Calder\'on Strategies for the Convolution Quadrature Time Domain Electric Field Integral Equation