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geometrical optics
focal lengths and principal planes


combination of thick lenses


number of lenses
combination of thick lenses
R1k : radius of curvature of the first surface of lens number k R2k : radius of curvature of the second surface of lens number k ek : center thickness of lens number k nk : refraction index of lens number k dk : distance from the second surface of lens number k to the first surface of lens number k+1 fi : effective focal length of the combination l : distance from the vertex of the first surface to the primary principal plane of the combination li : distance from the vertex of the last surface to the secondary principal plane of the combination ft : front focal length of the combination fb : back focal length of the combination L : distance from the primary principal plane to the secondary principal plane

Note
This calculation page can not detect all unrealistic inputs.



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