Purchase Solution

Time Harmonic Form of Maxwell's Equations.

Not what you're looking for?

Ask Custom Question

Assume that both the E field an the B field are time-harmonic, so that each can be written as:

E = E(0)exp(i(k*r-wt))

B = B(0)exp(i(k*r-wt)) where * = dot

The time and spatial derivatives can then be written as

partial of E with respect to t = -iwE

Partial of B with respect to t = -iwB

divergence of E = ik*E

curl of E = ik x E

curl of B = ik x B

The divergence of B, as always, is zero. Now rewrite Maxwell's equations componentwise, using the derivatives of the time-harmonic form.

(Please see the attachment for the complete formula.)

Purchase this Solution

Solution Summary

This solution discusses the time harmonic form of Maxwell's equations.

Solution Preview

Hello and thank you for posting your question to Brainmass.
The solution is attached below in two files. the files are identical in content, only differ in format. ...

Purchase this Solution

Free BrainMass Quizzes
Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

The Moon

Test your knowledge of moon phases and movement.

Basic Physics

This quiz will test your knowledge about basic Physics.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.