Abstract

We suggest that, in the paraxial region, a double-plane symmetric optical system (anamorphic system) can be treated as two associated rotationally symmetric optical systems (RSOS). We find that paraxial quantities in the anamorphic system can be expressed as linear combinations of the paraxial marginal and chief rays traced in the two associated RSOS. As a result, we provide a set of equations that are key to derive the primary aberration coefficients for various anamorphic optical system types. By applying the generalized Aldis theorem to anamorphic optical systems, we build up the anamorphic total ray aberration equations. These equations can be reduced to third-order form, that is, the anamorphic primary ray aberration equations. We find that the terms in the anamorphic primary ray aberration equa tions can be expressed as paraxial marginal and chief ray-trace data in the two associated RSOS, together with normalized object and stop coordinates. More importantly, we build up a novel method for deriving the anamorphic primary aberration coefficients for anamorphic optical systems of various types.

© 2009 Optical Society of America

Aberrations of anamorphic optical systems. II. Primary aberration theory for cylindrical anamorphic systems

Sheng Yuan and Jose Sasian
Appl. Opt. 48(15) 2836-2841 (2009)

Aberrations of anamorphic optical systems III: the primary aberration theory for toroidal anamorphic systems

Sheng Yuan and Jose Sasian
Appl. Opt. 49(35) 6802-6807 (2010)

Design method for an off-axis reflective anamorphic optical system with aberration balance and constraint control

Yue Wu, Liping Wang, Xu Zhang, Jie Yu, Bo Yu, and Chunshui Jin
Appl. Opt. 60(16) 4557-4566 (2021)

Intrinsic aberration coefficients for plane-symmetric optical systems consisting of spherical surfaces

Yuxuan Liu, Jessica Steidle, and Jannick P. Rolland
J. Opt. Soc. Am. A 40(2) 378-387 (2023)

Real-ray-based method for locating individual surface aberration field centers in imaging optical systems without rotational symmetry

Kevin P. Thompson, Tobias Schmid, Ozan Cakmakci, and Jannick P. Rolland
J. Opt. Soc. Am. A 26(6) 1503-1517 (2009)