A zoom lens barrel is measured

PHYSICS · Multi-part · Fermi University Physics · Optics & Photonics · Geometrical optics and imaging · Geometrical optics and imaging

What an Instrument Can See, Ch The paraxial system as an operator

Problem

A zoom lens barrel is measured, at one zoom setting, between its front and rear flange faces (air on both sides) to have the system matrix M=(ABCD)=(0.9629.2 mm−0.0040 mm−10.92)\mathbf{M}=\begin{pmatrix}A&B\\C&D\end{pmatrix}=\begin{pmatrix}0.96&29.2\ \mathrm{mm}\\-0.0040\ \mathrm{mm^{-1}}&0.92\end{pmatrix} ((a)) Translate this matrix into the traditional cardinal-points picture: state the effective focal length and locate both principal planes relative to the front and rear flange faces respectively (distances positive to the right). ((b)) Using that principal-plane picture as an equivalent thin lens, find the object and image distances (each measured from the relevant flange face, object distance quoted as a distance in front of the front flange, image distance as a distance behind the rear flange) that give a real image with transverse magnification exactly −2-2.

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