PDA

View Full Version : Show that the "plane wave" is a general solution to the electromagnetic wave eqatuion


rayray2216
Mar11-11, 11:38 AM
1. The problem statement, all variables and given/known data

Show that the "plane wave" E=Eocos(k.r-\omegat)
is a general solution of the electromagnetic wave equation. (you must derive this first)


2. Relevant equations

we were given Maxwell equations in a continuous, homogeneous medium, (no explicit charges or currents) and no other information

3. The attempt at a solution

ive got as far as deriving the wave equation in a continuous homogenous medium, i got this to be:
\nabla2E= \muo\mur\epsilono\epsilonr*d2E/dt

rayray2216
Mar11-11, 11:40 AM
had issues entering the formula but its just the wave equation for the electric field in a continuous homogeneous medium .

diazona
Mar11-11, 05:09 PM
OK, so what do you know about differential equations and their solutions?