1. Maximum of (V/m) at t =0 and z =1/8 (m) Find:
Example 8-1 Uniform sinusoidal plane wave propagatind in z- direction in a lossless medium
Maximum of (V/m) at t =0 and z =1/8 (m)
Find:
Instantaneous expressions for E-field;
Instantaneous expressions for H-field;
Find locations where E is a positive maximum when
EEE340
Lecture 32

2. Solution: a) Wavenumber: Instantaneous expressions for E-field:
(rad/m)
(rad)
EEE340
Lecture 32

3. c) locations of positive maxima forb)
c) locations of positive maxima for
EEE340
Lecture 32

4. §8-2.2 Transverse EM Waves – Plane waves
Consider general case of a TEM wave propagating in the directions of
is a partial solution of a vector Helmgoltz’s equation
If:
is an equation of a plane of an equal phase, this plane , direction of the wave propagation
EEE340
Lecture 32

5. Also from
and
it follows:
EEE340
Lecture 32

6. In the source free and charge free region
for the case of TEM waves become
EEE340
Lecture 32

7. EEE340
Lecture 32

8. Example 8-2 TEM waves. Find the E-field from a given H filed.
EEE340
Lecture 32

9. Comparison of fields and circuits
Circuits Fields
Scalars vectors E H k
Only for plane waves
EEE340
Lecture 32