1. Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement “Elements of Engineering Electromagnetics, Sixth Edition” by
Nannapaneni Narayana Rao
Edward C. Jordan Professor of Electrical and Computer Engineering
University of Illinois at Urbana-Champaign, Urbana, Illinois, USA
Distinguished Amrita Professor of Engineering
Amrita Vishwa Vidyapeetham, Coimbatore, Tamil Nadu, India

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)