Standard Course Syllabus Course Supervisor Date of Approval

Dept. of Electrical and Computer Engineering Lee, JF October 21, 2002

894P Advanced Integral Equation Methods in Electromagnetics

2. CATALOG DESCRIPTION

Formulations for solving 3D scattering and radiation problems, layered media applications, matrix solution techniques, Fast

Multiple Multipole (FMM), and integral equation method with SVD.

Quarters of Offering Credits
Level Class Meeting

Wi Qtr (odd years). 3 G 2 1.5-hr cl.

Course Prerequisites

Prereq: 814.

3. PREREQUISITES BY TOPIC

Method of moments, matrix linear algebra

Courses that require this as a direct prerequisite

none

4. Text(s) and Other Course Materials Author(s) Publisher

No text

References (supplemental reading)

[1] Papers from SIAM, IEEE Trans. AP, IEEE Trans. MTT, and Journal of Computational Physics

5. COURSE OBJECTIVES

1. Students will learn the application of standard MOMs for solving 3D scattering and radiation problems.

2. Students will learn the matrix solution techniques, particularly the preconditioners, for solving dense MOM matrices.

3. Students will learn the state-of-the-art fast MOM methods for solving large-scale EM problems.

6. TOPICS AND (# OF LECTURES)

EFIE/MFIE for 3D scattering (3)

Interior resonances and CFIE (2)

Numerical integrations for weakly singular kernel (3)

Matrix solution techniques for solving dense MOM matrices (4)

Low frequency instability and loop star basis functions (2)

2-level FMM for scattering and radiation problems (2)

Fast integral equation methods with 2-level SVD matrix compression scheme (4)

7. CLASS MEETING PATTERN (For example, "3cl." means 3 48-min classes per week.)

2 1.5-hr cl.

Wednesday, April 23, 2008 05:30 PM

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