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Homework Help: Optics-radius of curvature

  1. Dec 12, 2009 #1
    optics--radius of curvature

    1. The problem statement, all variables and given/known data

    At a particular point, a Guassian beam of wavelength λ has a radius of curvature of R1 and spot radius w1. Determine distance (z) of this point from the beam waist in these terms.

    2. Relevant equations
    R= z + (z0^2/z)
    z0 = (pi*w0^2) / λ
    w1 = w0 * sqrt(1 + (z/z0)^2)
    (may be more that I'm unaware of)

    3. The attempt at a solution

    I have basically tried solving for all the variables and substituting them in the other equations but it all falls apart at the end and I get something like
    z^2*R - (pi*w1^2)/λ = z^3-z^2
     
  2. jcsd
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