ECE421 Electromagnetic Fields II

• Partial differential equations of elliptic and hyperbolic type.
• Static and time-varying electromagnetic boundary-value problems in finite and infinite regions.
• Separation of variables in cartesian, cylindrical and spherical coordinates.
• Conformal mapping.
• Nonhomogeneous equations and Green functions.
• Numerical methods for electromagnetic boundary-value problems (finite differences and boundary element method).

The course is a continuation of the introductory course of Electromagnetic Fields and aims at the systematic solution of electromagnetic boundary value problems (static or time-varying) with analytical and computational methods.

With the successful completion of the course, the student will be in a position to:

• Formulate a given static or time-varying electromagnetic problem in mathematical expression of a boundary-value problem (i.e. an elliptic or hyperbolic partial differential equation with appropriate initial or/and boundary conditions).
• Solve an electromagnetic boundary-value problem with analytical methods (separation of variables, conformal mapping, Green functions) in the basic coordinate systems, whenever the problem is amenable to analytic solution.
• Solve an electromagnetic boundary-value problem with numerical methods (finite differences, boundary elements).
• Develop the appropriate scientific software for the solution of problems.