Abstract
The transfer matrix is a very efficient tool for computing symmetrical systems, both in light optics and in charged-particle optics. Two significative examples are considered: a catadioptric instrument as reflector telescope, and a charged-particle system as alpha -magnetic spectrometer. The analysis of all symmetrical systems is greatly facilitated by only studying the properties of the first semisystem. In the case of spectrometers, one of the 2*2 matrices must be replaced by a 3*3 matrix for evaluating the dispersion parameter.
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