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geometrical optics
paraxial conjugation


conjugation for a given object and a spherical mirror ( free )


Caution
Fill in all input cells.
Choose all parameters unit.
Distances and magnification are algebric.
Positive directions are according the arrows in the bottom right of the scheme.

InputValueunit
x
R
D
OutputValueUnit
xito be calculated
mto be calculated
zto be calculated
zito be calculated
NAto be calculated
NAito be calculated
conjugation for a given object and a spherical mirror
x : distance from the mirror vertex to the object plane R : radius of curvature of the mirror D : clear aperture xi : distance from the mirror vertex to the image plane m : magnification z : distance from the focal point to the object plane zi : distance from the focal point to the image plane NA : numerical aperture in the object space NAi : numerical aperture in the image space

Note
This calculation page can not detect all unrealistic inputs.



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