Optical power of spherical lens from refractive indices and distances¶

The formula of the spherical refractive surface allows you to uniquely determine the position of the image if the position of the object is known and vice versa.

Links:

Studme.

distance_to_object¶: euclidean_distance from lens to object.

Symbol:: d_o
Latex:: \(d_\text{o}\)
Dimension:: length

distance_to_image¶: euclidean_distance from lens to image.

Symbol:: d_i
Latex:: \(d_\text{i}\)
Dimension:: length

curvature_radius_lens¶: radius_of_curvature of the lens surface.

Symbol:: r
Latex:: \(r\)
Dimension:: length

medium_refraction_index¶: relative_refractive_index of the surrounding medium.

Symbol:: n_0
Latex:: \(n_{0}\)
Dimension:: dimensionless

lens_refraction_index¶: relative_refractive_index of the lens material.

Symbol:: n
Latex:: \(n\)
Dimension:: dimensionless

law¶

-n_0 / d_o + n / d_i = (n - n_0) / r

Latex:: \[- \frac{n_{0}}{d_\text{o}} + \frac{n}{d_\text{i}} = \frac{n - n_{0}}{r}\]