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How to solve this reflectivity equations?

  1. Mar 30, 2010 #1
    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
  2. jcsd
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