+ Recall , .

+ Full form of Maxwell's eqns (from experiments)
Gauss' law;
Faraday's induction law
inseparable of poles
Ampere's law. (p. 246)
Note: source -- volume charge density , current density ; notation: lower case function of time and upper case phasor.
Time varying fields: &

+ Source free Maxwell's eqns (Sect. 6-5.3)
time: ; ; ;
phasor: ; ; ;
Application: transmission in space, cables, fibers

+ Phasor conversion review: vector field phasor
More examples

+ How to find from or vice versa? (pp. 262-263)
Convert ( ) to phasor ( ).
Use the phasor form of appropriate Maxwell's eqns.
Convert ( ) to ( ).
use and
use
Note: convert into phasor first

Example 2.1 -- Maxwell's equation method
+ Homogeneous wave Eqn (Sect 7.2):
time: ; , phase velocity
phasor: , wave number , wavelength inside a medium

+ 1 dimension wave: e.g. propagating in and &
Time harmonic:

Extra: Movies show (requires QuickTime plugin) backward and forward propagating waves

Phasor:

+ Polarization direction, angular freq , , propagation direction, freq, wavelength, given find e.g.
Note: and
Answers
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 HW #7 (no late homework)	Due 2/15/07