Abstract

We generalize the transfer matrix $\mathit{ABCD}$ theorem for paraxial rays of the optical system to skew rays propagated off axis, whether or not the system possesses rotational symmetry. Furthermore, we apply the generalized $\mathit{ABCD}$ theorem to evaluate the diffraction integral matrix elements $A–D$ expressed in terms of the angle eikonal T, with the primary aberrations included. Finally, analysis and numerical calculation are given for propagation of a light beam through the optical system in the case in which spherical aberration and coma are present.

© 2004 Optical Society of America

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