geometrical optics

paraxial conjugation

conjugation for a given object and a thick lens

paraxial conjugation

conjugation for a given object and a thick lens

Caution

Fill in all input cells.

Choose all parameters unit.

n can be either a value or the reference of a glass from the catalog.
If a value is entered, the wavelength will not be considered.

e is positive.

Raddii and x are algebric or infinite. Enter "infinite" for a plane surface or an object at infinity.

Positive direction is according the horizontal arrow in the bottom right of the scheme.

n : refraction index
R1 : radius of curvature of the first surface
R2 : radius of curvature of the second surface
e : center thickness
x : distance from the first surface vertex
to the object point
l : distance from the first surface vertex to the
primary principal plane
li : distance from the second surface vertex to the
secondary principal plane
s : distance from the primary principal plane to the object point
si : distance from the secondary principal plane to the image point
xi : distance from the second surface vertex
to the image point
m : magnification

Note

This calculation page can not detect all unrealistic inputs.

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