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geometrical optics
focal lengths and principal planes

combination of a thin lens and a spherical mirror

Fill in all input cells.
Choose all parameters unit.
Except L which is positive, distances and raddii are algebric.
Positive direction is according the horizontal arrow in the bottom right of the scheme.
As light rays pass through the lens twice ( before and after reflection on the mirror ), fi sign can be confuzing. Sign is positive for converging lens and negative for diverging lens.

xeqto be calculated
Reqto be calculated
combination of a thin lens and a spherical mirror
R : radius of curvature of the mirror fi : effective focal length of the lens L : distance between the lens and the mirror vertex xeq : distance from the lens to the vertex of the equivalent mirror Req : radius of curvature of the equivalent mirror

This calculation page can not detect all unrealistic inputs.

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