Physics – Optics
Scientific paper
Apr 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apopt..27.1574z&link_type=abstract
Applied Optics (ISSN 0003-6935), vol. 27, April 15, 1988, p. 1574-1580.
Physics
Optics
Computer Aided Design, Geometrical Optics, Optical Equipment, Ray Tracing, Cassegrain Optics, Least Squares Method, Personal Computers, Skewness
Scientific paper
A general equation of high-order surfaces is given. If its second term is equal to zero, this equation will automatically reduce to the conic surfaces. By adding two parameters g and k into the conic equation, it is possible to use only one equation to describe the planar, cylindrical, and conic surfaces. A set of skew ray tracing formulas for these surfaces, including tilted and decentered elements, is derived. Based on the tracing of skew rays, a merit function of the optical system is defined and an analytical formula for determining the narrowest cross-sectional position of skew rays is given. A program of skew ray tracing is edited for the Sharp-1500 pocket computer. An example for a two-dimensional infrared scanner is given. Based on the skew ray tracing formulas and by using the damped least-squares method, some examples for automatic design of optical systems are also shown on the IBM PC/XT personal computer.
Chang Mo-Jun
Tu Hai-Cheng
Yang Cu-Wu
Zhang You-Wen
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