This paper describes a new approach to undergraduate electromagnetics that is based on spatial discretization and numeric computation. The initial coverage is limited to quasi-static, twodimensional, Cartesian geometries with no leakage flux, descriptive of many ideal lumped circuit elements with which the students are already familiar. The circuit behavior of resistors, capacitors, and inducto...

The key bottleneck of implicit computational electromagnetics tools for large complex geometries is the solution of the resulting linear system of equations. The goal of this effort was to research and develop critical numerical technology that alleviates this bottleneck for largescale computational electromagnetics (CEM). The mathematical operators and numerical formulations used in this arena...

Quantization of the electromagnetic field has been a fascinating and important subject since its inception. This subject topic will be discussed in its simplest terms so that it can be easily understood by a larger community of researchers. A new way of motivating Hamiltonian mechanics is presented together with a novel way of deriving the quantum equations of motion for electromagnetics. All e...

Computational electromagnetics is a fascinating subject with plenty of opportunity still for scientific study and applied research. The commercial world can benefit from such work provided that it is useful, credible, and easy to adopt. My colleagues and I have sought a balanced approach in our work in communications engineering, pursuing contracts with industry while developing new computation...

The upwind leapfrog or Linear Bicharacteristic Scheme (LBS) has previously been implemented and demonstrated on electromagnetic wave propagation problems. This report extends the Linear Bicharacteristic Scheme for computational electromagnetics to model lossy dielectric and magnetic materials and perfect electrical conductors. This is accomplished by proper implementation of the LBS for homogen...

Yangyang Fu,1,2 Yanyan Cao,1 Steven A. Cummer,3 Yadong Xu,1,* and Huanyang Chen1,2,† 1College of Physics, Optoelectronics and Energy, Soochow University, Suzhou 215006, China 2Institute of Electromagnetics and Acoustics and Department of Electronic Science, Xiamen University, Xiamen 361005, China 3Department of Electrical and Computer Engineering, Duke University, Durham, North Carolina 27708, ...

A new globally convergent numerical method is developed for some multidimensional Coefficient Inverse Problems for hyperbolic and parabolic PDEs with applications in acoustics, electromagnetics and optical medical imaging. On each iterative step the Dirichlet boundary value problem for a second order elliptic equation is solved. The global convergence is rigorously proven and numerical experime...

An implicit characteristic-based approach for numerical solution of Maxwell’s time-dependent curl equations in flux conservative form is introduced. This method combines a characteristic based finite difference spatial approximation with an implicit lower-upper approximate factorization (LU/AF) time integration scheme. This approach is advantageous for three-dimensional applications because the...

We introduce a new discretization scheme for Maxwell equations in two space dimension. Inspired by the new paradigm of Isogeometric analysis introduced in [16], we propose an algorithm based on the use of bivariate B-splines spaces suitably adapted to electromagnetics. We construct B-splines spaces of variable interelement regularity on the parametric domain. These spaces (and their push-forwar...