Computational Electromagnetics

multiple computational electromagnetic examples

We do it all in ESL: Integral Equations, Finite Methods, and High-Frequency Techniques.


A diverse range of applications including:

  • Printed circuit antennas
  • Analysis and design of extremely low-frequency shielding
  • Cavity-backed antennas
  • Scattering from airborne targets
  • Artificial media
  • Radiation from antennas on platforms such as aircraft and automobiles
  • Analysis of radomes designed for wide bandwidth and minimum distortion of the antenna radiation pattern

Finite Methods

ESL is well-known for its numerous breakthroughs in advanced finite element and finite difference techniques, including:

  • Mesh generation
  • Time-domain simulation
  • Phenomenology computation
  • Special applications
  • Parallelization
  • Preconditioning
  • Domain decomposition, and more

Hybrid High-Frequency Asymptotic Methods 

Recent areas of research in high-frequency methods such as the Geometric Theory of Diffraction (GTD) and its Uniform extension (UTD) include the development of new diffraction coefficients that permits the GTD to be applicable to a wider variety of perfectly conducting and material structures. The applications include:

  • Radiation
  • Scattering and coupling among edges, vertices, and curved surfaces such as cylinders, ellipsoids, and spline patches.

Gaussian beams are being studied to replace the rays of conventional GTD in order to obtain more accurate and efficient solutions. In addition, time-domain GTD is being developed for its importance in such areas as short pulse radar and remote sensing

Gaussian beam analysis/synthesis and hybrid UTD-Method of Moments techniques developed at the ESL have increased analysis speed and accuracy for:

graphic representation of UTD rays on an airplane
UTD rays found using the uCAST code
  • Complex reflector antennas,
  • Realistic aircraft,
  • Large embedded finite arrays, and
  • Inlet and rough sea scattering.

ESL is working with Applied EM, Inc., to develop a UTD code for analyzing antennas on CAD geometries. uCAST traces geometrical optics, diffracted, and surface rays over faceted surfaces and computes the antenna radiation using UTD formulas. The individual rays give physical insight into how the platform affects the antenna pattern.

Parabolic equation approximation to the wave equation is studied for over-the-ocean propagation for naval and  ship-based applications.