Optical power from thin lens radii and refractive indices¶

Optical power of a thin lens can be calculated from the radii of its front and back surfaces and the refractive indices of the lens material and the medium.

Links:

optical_power¶: optical_power of the lens.

Symbol:: D
Latex:: \(D\)
Dimension:: 1/length

lens_refractive_index¶: relative_refractive_index of the lens material.

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

medium_refractive_index¶: relative_refractive_index of the surrounding medium.

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

front_radius¶: radius of the front surface.

Symbol:: r_1
Latex:: \(r_{1}\)
Dimension:: length

back_radius¶: radius of the back surface.

Symbol:: r_2
Latex:: \(r_{2}\)
Dimension:: length

law¶

D = (n - n_0) * (1 / r_1 - 1 / r_2)

Latex:: \[D = \left(n - n_{0}\right) \left(\frac{1}{r_{1}} - \frac{1}{r_{2}}\right)\]