- #1
DrPapper
- 48
- 9
Homework Statement
Write down the equation for a plane wave traveling in perpendicular to the plane x+y+z=constant traveling in the direction of increasing x, y, and z.
Homework Equations
From the given information how do I determine the unit vector that goes next to E(0)? How do I determine the r vector in the exp?
The Attempt at a Solution
My present solution is:
E=E(0)(X/sqrt3+Y/sqrt3+Z/sqrt3)exp^i[nk((x+y+z)/sqrt3)-wt] Sorry I can't seem to get latex to work so this isn't such a mess to look at.
The n is the index of refraction.
The k is the wave number in a medium with index n.
My reasoning is since the wave is traveling perpendicular to the x y z plane all values are positive for the direction the field oscillates in. The wave proceeds in the positive directions so the exponent has all positive values. I'll enclose a picture of my solution to make it easier. It's the Problem 2. Part 3. I'm uncertain of all my answers, but knowing how to do three will definitely tell me how to do 2.2 Thanks in advance. :D