Radiofrequency magnetic fields are critical to nuclear excitation and signal reception in
magnetic resonance imaging. The interactions between these fields and human tissues in …

Conformal (or body-fitted) electromagnetic particle-in-cell (EM-PIC) numerical solution
schemes are reviewed. Included is a chronological history of relevant particle physics …

Finite-difference time-domain (FDTD) methods suffer from reduced accuracy when modeling
discontinuous dielectric materials, due to the inhererent discretization (pixelization). We …

The Yee finite-difference time domain method (FDTD) is commonly used in wake field and
particle-in-cell simulations. However, in accelerator modeling the high energy particles can …

We present a method to compute Casimir forces in arbitrary geometries and for arbitrary
materials based on the finite-difference time-domain (FDTD) scheme. The method involves …

A new conformal finite-difference time-domain (CFDTD) updating scheme for metallic
surfaces nonaligned in the grid is presented in this paper. In contrast to existing conformal …

A stable FDTD algorithm is developed for simulating Maxwell's equations in anisotropic
dielectric materials with principal axes not aligned with the grid. The algorithm is stable …

The purpose of this note… is to sort out my own thoughts… and to solicit ideas from others.
Lloyd N. Trefethen Three mysteries of Gaussian elimination Since 2008, when the first …

Recently, the conformal finite-difference time-domain (CFDTD) method has emerged as an
efficient FDTD method with a higher order accuracy than the conventional FDTD methods …

While finite-difference time-domain methods have long been the foundational basis for
particle-in-cell (PIC) codes, there has been increasing momentum in developing a suite of …