General Vergence Equation
L' = F + L
Object and Image Locations
Object: l = n1/L
Image: l' = n2/L'
Lens maker equation/Power of SSRI
F = (n1 - n2) / r
Lateral/linear magnification. Image size/object size
m = hi/ho = L/L' = l'/l
Snells law
Snells law: n1 sin(theta 1) = n2 sin(theta 2)
Thin lens equation
F = F1 + F2
F1 = (n2 - n1) / r
F2 = (n3 - n2) / r
Effective vergence
L eff = L / (1 - dL)
Or
Fc = Fg / (1 - dFg) �> Power (vertexed). Same equation but different uses.
Thick lens equivalent power
F = F1 + F2 - (t/n2)(F1)(F2)
Back vertex power
F = F2 + (F1 / [1 - (t/n2)(F1)] )
Spherical equivalent
Fse = sphere + (cyl / 2)
Mirror power �> (-) if C = (+) radius
F = (-2n / r)
Lens mirror combination (F1 = lens �> going through lens twice) (F2 = mirror)
F = 2(F1) + F2
For zero chromatic aberration
0 = (F1 / V1) + (F2 / V2)