Electrodynamics

Publications

Propagation of Weakly Guided Waves in a Kerr Nonlinear Medium Using a Perturbation Approach

This paper details a method for simulating electromagnetic wave propagation in materials exhibiting a Kerr-type nonlinearity. It uses a perturbation approach to convert the governing nonlinear Maxwell's equations into a series of linear equations, which are then solved numerically with the Vector Finite Element Method. The method is validated against known 2D solutions before being applied to a 3D optical fiber to study the effects of a highly intense field.

Improved Vector FEM Solutions of Maxwell's Equations Using Grid Pre-Conditioning

Daniel White, Garry Rodrigue

This paper demonstrates that the accuracy and efficiency of the Time Domain Vector Finite Element Method (TDVFEM) for solving Maxwell's equations are highly dependent on the quality of the computational grid. It investigates several grid pre-conditioning techniques, including Laplacian smoothing, edge swapping, and a novel energy minimization method. These techniques are shown to make grids more equilateral, which reduces numerical errors and decreases overall computation time.

Isentropic Compression with a Rectangular Configuration for Tungstene and Tantalum

This paper focuses on benchmarking the new electromagnetism module in the LS-DYNA software by simulating isentropic compression experiments on tungsten and tantalum. The simulations use experimental current data from the Z accelerator to predict material behavior, such as free surface velocity and pressure, under intense electromagnetic loading. The results are part of an ongoing comparison with physical experiments to validate the code's coupled mechanical and electromagnetic capabilities.

Study of Optically Induced Effects Due to Bending and Twisting Using the Vector FEM

Jennifer Dacles-Mariani, Garry Rodrigue

This paper investigates how mechanical stresses from bending and twisting affect signal transmission in optical waveguides. Using a high-order vector finite element method to solve Maxwell's equations, the study analyzes the resulting power loss and optical anisotropy. The results show distinct patterns of power leakage for bending versus twisting deformations.

DSI3D-RCS Test Case Manual

Niel Madsen, David Steich, Grant Cook, Bill Eme

This technical report details the validation of the DSI3D-RCS code, a program designed to solve Maxwell's equations in the time-domain for calculating the radar cross section of complex objects. It presents a series of test cases comparing the code's numerical results against measured data for different object geometries and polarizations.