- #1
ettojar
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optics--radius of curvature
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.
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)
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
Homework Statement
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.
Homework 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)
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