|Dec24-12, 03:41 PM||#1|
Reverse calculation of radius and principal planes of thick lens
I need you kind support in a problem, which I am unable to figure out. It is regarding thick lens.
I am determining lens principal planes and radius using shaping factor and focal length. The forward problem I am using is,
1/f = (n-1)*[1/r1 - 1/r2 +(n-1)*d/(n*r1*r2)]
X = (r2 + r1)/(r2 - r1)
Solving these two equations for r1 and r2, I get.
1/r1 = (X+1)/ [f * (n-1)*(1+sqrt(1+(X^2-1)*d/(n*f)))]
1/r2 = (X-1)/ [f * (n-1)*(1+sqrt(1+(X^2-1)*d/(n*f)))]
These equations return complex number when (X^2-1)*d/(n*f) < -1. So I cannot use these equations for this domain and I have no idea how to determine radius and principal planes in such a case. Any body know a solution for this domain or more general equations?
Thanks in anticipation for reading and support.
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|Dec25-12, 09:43 AM||#2|
|geometric optics, optics, optics lens, thick lens|
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