# Monochromatic plane wave

1. Apr 5, 2008

### Nusc

1. The problem statement, all variables and given/known data
The B field of a monochromatic plane wave is

B~=B0~ exp(i(kz-wt)[sqrt(3)/2 x-hat + 1/2 y-hat]
Find E~ in terms of B0~.
and the polarization angle.

2. Relevant equations

We know E~=Eo~ exp(i(k.r-wt)nhat
B~=B0~ exp(i(k.r-wt)(k-hat x n-hat)

nhat = cos(theta)xhat + sin(theta)yhat
3. The attempt at a solution
Would have been trivial if given E instead of B.

What do I do?

2. Apr 5, 2008

### pam

$${\b E}=-{\hat r}\times{\b B}$$ in gaussian units.

3. Apr 5, 2008

### Nusc

Where is this formula from? What is it in SI?

B= 1/c script r x E is true, i don't know about E = script r x B, where did u get this fomrula? Where is it in griffith if it is?

Last edited: Apr 5, 2008
4. Apr 6, 2008

### pam

Do kXB in (9.49). You have to learn to do some things for yourself.