Course Description: Presents solutions to problems in electromagnetic using a wide variety of numerical and computational methods. Discusses in detail the finite difference approximations of partial differential equations and the finite difference time-domain method of simulating electromagnetic wave propagation and scattering. Uses moment methods to solve the integral equations related to currents and charges on wire structures. Uses finite element and higher-order finite difference methods to solve problems in electrostatics and wave propagation. Discusses efficient matrix methods, relaxation methods, the conjugate gradient technique, and multidimensional Newton's method in the context of electromagnetic field simulation.

Course Objectives: This course will prepare the student for solving complex problems in electromagnetics numerically. Since most real-world EM problems cannot be reduced to simplified models, it is important to have knowledge of general-purpose computational tools. As computers become increasingly powerful, numerical methods are becoming a more essential part of the design and analysis process.

Course Outline by Topical Areas:

Finite Differences. Introduction to different approximations of continuous functions: one dimensional integration, first order ODE'S, LaPlace's equation, wave equation, non-uniform grids, FDFD/FDTD.

Matrix Manipulation: Technique foe working with large matrices: review of LU decomposition and Gaussian reduction, spares matrix techniques, the conjugate method.

Finite Elements. Variational theory of finite elements, elements specification and connectivity, spurious modes.

Moments Methods. Specialization of finite elements to Galerkin and other moment methods for solving anthenna and waveguide problems in terms of the impedance matrix.

Radiation and other Boundary Conditions. Approaches to terminating the computational boundary for exterior ( radiation ) problems.

Course Requirements:

Homework: About five assignments with two weeks for each

Examinations: NONE

Computer Language(s): One higher level language-access to 3-D graphics

Computer Facilities: Required

Laboratory: None

Project: Term Project

Notes:

Delivery charge: VHS tape duplication and delivery - $400 billed by Northeastern University.

Degree Applicability:

CE[AA]	CH[NA]	CS[AA]	EE[BDE]	EM[E]	ESM[NA]	MAT[E]
MBA[NA]	ME[E]	MES[BE]	MSE[E]	SE[NA]	SY[AA]

Click here for further information on degree applicability.

NTU Semester Credit Hours: 4
Number of Lecture Hours: 28 (100 minute) lectures
Days Class Meets on Campus: Tuesday/Thursday

Contributing Scholar:
Carey Rappaport
Dept. of Electrical and Computer Engineering
Northeastern University
302 Stearns Building
Boston, MA   02115
Phone: 617-373-2043

Fax: 617-373-8627
rappaport@ece.neu.edu

Note: Contributing Scholars are responsible for the design, organization, content, and presentation of NTU courses. Online classroom management, student management, and other matters related to academic administration of courses are the responsibility of support "Faculty". Either person is often called "Instructor". To identify and differentiate between these roles, we use the terms "Contributing Scholar" and "Faculty".

Academic/Administrative Contact:  
Ms. Linda Alosso
Phone: 617-373-5621
          617-373-5621 Fax: 617-373-8574
l.alosso@neu.edu


Prerequisites: ECE G202/EM 740-F - Electromagnetic Theory I.

Textbooks: (Order Materials)

1.	Numerical Methods in Electromagnetics, M. Sadiku, CRC, 2nd edition in 2001, 2001
2.	Suggested: Numerical Receipes, W.H. Press, et. Al., Cambridge, 1985; Field Computation by Moment Methods. R Harrington; Numerical Solution of Practical Differential Equations and Science and Engineering, Lapidus and Pinder, Willey, 1982.