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geometrical optics
focal lengths and principal planes


combination of plane and spherical refracting surfaces


number of surfaces
combination of plane and spherical refracting surfaces
Rk : radius of curvature of surface number k nk : refraction index of the medium after surface number k dk : distance from the vertex of surface number k to the vertex of surface number k+1 f : effective focal length of the combination in the object space fi : effective focal length of the combination in the image space 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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