# How to solve this reflectivity equations?

1. Mar 30, 2010

### getcarter

1. The problem statement, all variables and given/known data
sqrt(R)*(cos a + i sin a) = (n - ik - 1) / (n - ik + 1)

what is n in terms of others.
"i" is imaginary part.
By using this equation, can you seperate imaginary and real part for finding

R= (1-R) / [1+R-2*sqrt(R) * cos a] and

K = 2 * sqrt(R) * sin a / [1 + R - 2 * sqrt (R) * cos a ]

thank you.

2. Relevant equations

R= (1-R) / [1+R-2*sqrt(R) * cos a] and

K = 2 * sqrt(R) * sin a / [1 + R - 2 * sqrt (R) * cos a ]

3. The attempt at a solution
i have found n iK + [ (1+sqr(R) * (Cosa+isina) ]/[(1-sqr(R) * (Cosa+isina)]
but i couldn't separete imaginary and real parts.

if i separeta n has not imaginary part. by using this info. we can gain K.

Last edited: Mar 30, 2010