1. Edward C. Jordan Memorial Offering of the First Course under the Indo-US Inter-University Collaborative Initiative in Higher Education and Research: Electromagnetics for Electrical and Computer Engineering by
Nannapaneni Narayana Rao
Edward C. Jordan Professor of Electrical and Computer Engineering
University of Illinois at Urbana-Champaign
Urbana, Illinois, USA
Amrita Viswa Vidya Peetham, Coimbatore
July 10 – August 11, 2006

2. 4.6 Boundary Conditions

3. Why boundary conditions?
Medium 1
Medium 2
Inc.
wave
Trans.
wave
Ref.
wave

4. Maxwell’s equations in integral form must be satisfied
regardless of where the contours, surfaces, and volumes are.
Example: C3 C1 C2
Medium 1
Medium 2

5. Example of derivation of boundary conditions
Medium 1
Medium 2

6. or,

7. Summary of boundary conditions

8. Perfect Conductor Surface
(No time-varying fields inside a perfect conductor. Also
no static electric field; may be a static magnetic field.)
Assuming both E and H to be zero inside, on the surface,

10. Dielectric-Dielectric Interface

12. Example:
D4.11
At a point on a perfect conductor surface,
and pointing away from
the surface. Find D0 is positive.
(a)

13. and pointing toward the surface. D0 is positive.
(b)

14. Example:
(a)

15. (b)
(c)