All Problems

Photometry and Geometrical Optics

Problem 5.57

A system consists of a thin symmetrical converging glass lens with the curvature radius of its surfaces \(R=38 \mathrm{~cm}\) and a plane mirror oriented at right angles to the optical axis of the lens. The distance between the lens and the mirror is \(l=12 \mathrm{~cm}\). What is the optical power of this system when the space between the lens and the mirror is filled up with water?

Reveal Answer
\[ \text { 5.57. } \Phi=2 \Phi^{\prime}-2 \Phi^{\prime 2} l / n_{0}=3.0 \mathrm{D}, \text { where } \Phi^{\prime}=\left(2 n-n_{0}-1\right) / R \] \(n\) and \(n_{0}\) are the refractive indices of glass and water.