The analysis of the sensitivity of an optical system with respect to misadjustment is an important part of the optical design. The matrix method provides useful tools to study tilt, decentering, defocusing, and beam pointing error in a systematic way.
We will start with a simple example and consider the surface in Fig. 3.1 that separates two media with different indices of refraction. The surface is slightly tilted at an angle Î³. From Eq. (1.17), we know how the situation without tilt is described by a matrix. The question is now how this relation has to be modified to incorporate the effect of tilt.
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