All Problems

Photometry and Geometrical Optics

Problem 5.55

Calculate the positions of the principal planes and focal points of a thick convex-concave glass lens if the curvature radius of the convex surface is equal to \(R_{1}=10.0 \mathrm{~cm}\) and of the concave surface to \(R_{2}=5.0 \mathrm{~cm}\) and the lens thickness is \(d=3.0 \mathrm{~cm} .\)

Reveal Answer
5.55. The optical power of the given lens is \(\Phi=\Phi_{1}+\Phi_{2}\) \(-(d / n) \Phi_{1} \Phi_{2}, x=d \Phi_{2} / n \Phi=5.0 \mathrm{~cm}, x^{\prime}=-d \Phi_{1} / n \Phi=2.5 \mathrm{~cm}\) i.e. both principal planes are located outside the lens from the side of its convex surface.