─ A new functionality for the hybrid electromagnetic – thermodynamic simulations of microwave heating scenarios in the time domain is presented. The new functionality consists in the modelling of the heated load movement throughout the simulated process. Various types of the movement trajectories have been allowed for, including load rotation and load translation along user-defined piecewise-li...

Discrete differential forms arise in scientific disciplines ranging from computational electromagnetics to computer graphics. Examples include stable dis-cretizations of the eddy-current problem, topological methods for sensor network coverage, visualization of complex flows, surface parameterization, and the design of vector fields on meshes. In this thesis we describe efficient and scalable n...

In recent years, two important techniques for geometric numerical discretization have been developed. In computational electromagnetics, spatial discretization has been improved by the use of mixed finite elements and discrete differential forms. Simultaneously, the dynamical systems and mechanics communities have developed structure-preserving time integrators, notably variational integrators ...

The integration of complicated oscillatory functions arises in computational electromagnetics when evaluating signals produced by the propagation of electromagnetic radiation through the anisotropic layers of a geological formation. The computation of exact integrals involves the evaluation of Sommerfeld integrals. The matrix pencil method is used for the numerical approximation of such signals...

This thesis presents a unified framework for geometric discretization of highly oscillatory mechanics and classical field theories, based on Lagrangian variational principles and discrete differential forms. For highly oscillatory problems in mechanics, we present a variational approach to two families of geometric numerical integrators: implicit-explicit (IMEX) and trigonometric methods. Next,...

Since its introduction the Perfectly Matched Layer (PML) has proven to be an accurate and robust method for domain truncation in computational electromagnetics. However, the mathematical analysis of PMLs has been limted to special cases. In particular, the basic question of whether or not a stable PML exists for arbitrary wave propagation problems remains unanswered. In this work we develop gen...

This paper presents an overview of the various applications of planar Frequency Selective Surfaces (FSS) to the synthesis of Electromagnetic Bandgap (EBG) structures that act as metamaterials, such as Artificial Magnetic Conductors (AMCs). Over the past few years, many designs such as singleand dual-band AMC surfaces, tunable AMC surfaces, angularly stable AMC surfaces, ultra-thin EBG absorbers...

The Born approximation in electromagnetic (EM) numerical modeling has limited application for solving 3-D electromagnetic induction problems, because in structures with high conductivity contrasts and at high frequencies, this approximation is inaccurate. In this paper, we develop a new and relatively simple approxi­ mation for the EM field called a quasi-linearapproxima­ tion, which is based o...

Purpose – In this paper, a modified meshless method, as one of the numerical techniques that has recently emerged in the area of computational electromagnetics, is extended to solving time-domain wave equation. The paper aims to discuss these issues. Design/methodology/approach – In space domain, the fields at the collocation points are expanded into a series of new Shepard’s functions which ha...