It is shown that the propagation and transformation of a simply astigmatic Gaussian beam by an optical system with a characteristic ABCD matrix can be modeled by relatively simple equations whose terms consist solely of the heights and slopes of two paraxial rays. These equations are derived from the ABCD law of Gaussian beam transformation. They can be used in conjunction with a conventional automatic optical design program to design and optimize Gaussian beam optical systems. Several design examples are given using the CODE-V optical design package.
© 1983 Optical Society of America
Original Manuscript: November 19, 1982
Published: April 15, 1983
Robert Herloski, Sidney Marshall, and Ronald Antos, "Gaussian beam ray-equivalent modeling and optical design," Appl. Opt. 22, 1168-1174 (1983)