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Thin Lens Calculator

First-order imaging for a thin lens in air.  Greivenkamp, Field Guide to Geometrical Optics, pp. 16–17, 29

Thin Lens Equations (Greivenkamp, pp. 16–17)
Gaussian lens equation: $\dfrac{1}{z'} = \dfrac{1}{z} + \dfrac{1}{f}$   (real objects: $z < 0$; real images: $z' > 0$)
Lateral magnification: $m = \dfrac{h'}{h} = \dfrac{z'}{z} = \dfrac{u}{u'}$
Object-to-image distance: $L = z' - z = -\dfrac{(1-m)^2}{m} f_E$   Minimum at 1:1 imaging: $L_\text{min} = 4f$ (when $m = -1$)
Working F/# (Greivenkamp, p. 29): $f/\#_W = (1 - m)\,f/\#$   Image-space NA: $\text{NA} = \dfrac{1}{2\,f/\#_W}$

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