[OPTICAL REVIEW Vol. 7, No. 3 (2000) 221-229]

Analysis of Off-Axial Optical Systems (1)

Keisuke ARAKI

Optics Research Dept. 31, Optics Technology Research Laboratory, Canon Inc., 3-30-2, Shimomaruko, Ohta-ku, Tokyo, 146-8501 Japan

(Received January 21, 2000; Accepted March 6, 2000)

We have established a new method of aberration analysis for off-axial optical systems which are generalized concepts of co-axial optical systems, by introducing two kinds of newly defined 4-element vectors and expanding these vectors with the help of tensor algebra. In this method, since aberration properties are represented in tensor form, we can easily formulate the aberration relations between different azimuths. We can then evaluate the azimuth dependence of aberration properties in greater detail by separating them into inherent optical properties parts, which are independent of azimuths, and the paraxial ray-tracing part, which includes the expression of the evaluation azimuth.

Key words : off-axial optical system, 4-element vectors, tensor algebra, azimuth dependence of aberration properties, inherent optical properties parts, paraxial ray-tracing part