Topics in Computational Electromagnetics

(3-0-0-3)

CMPE Degree: This course is Not Applicable for the CMPE degree.

EE Degree: This course is Not Applicable for the EE degree.

Lab Hours: 0 supervised lab hours and 0 unsupervised lab hours.

Technical Interest Group(s) / Course Type(s): Electromagnetics

Course Coordinator:

Prerequisites: ECE 6350

Catalog Description

Computational approaches for applications such as radar signature
prediction, microwave antenna and device design, and modeling
techniques for electronic packaging.

Course Outcomes

Not Applicable

Strategic Performance Indicators (SPIs)

Not Applicable

Topical Outline

1. Electromagnetic Theory
a. Equivalence principles
b. Source-field relationships in homogeneous space
c. Formulation of integral equations
d. Relationship between radar scattering, antenna radiation, and microwave devices
2. Integral Equation Methods: The Method of Moments
a. EFIE and MFIE formulations for conducting and dielectric bodies
b. The method of Moments: Discretization error and convergence
c. Uniqueness issues: Internal resonances and the combined-field integral equation
d. Analysis of diffraction gratings: Green's function acceleration procedures
e. Vector formulations for 3D structures
f. The locally-corrected Nystrom technique
3. Differential Equation Methods: The Finite Element Method
a. The Finite Element Method applied to the scalar and vector Helmholtz equations
b. Radiation boundary conditions for open structures
c. Interpolation and dispersion error analysis
d. Elimination of spurious modes
e. Interpolatory and hierarchical vector finite elements
4. Other Topics (time permitting)
a. Algorithms for the direct and iterative solution of linear systems
b. The fast multipole method and the adaptive cross approximation
c. Quadrature algorithms for singularities and multidimensional applications
d. Survey of available commercial software packages