A method for high-accuracy analog optical computing based on interval arithmetic and the fixed-point theorem is considered. Two-variable simultaneous equations are studied to investigate the proposed method. An optical implementation is considered by the use of spatial coding of intervals, affine transformation, and image magnification. Computational simulation verifies the principle of the method.
© 1996 Optical Society of America
Original Manuscript: June 12, 1995
Revised Manuscript: November 9, 1995
Published: March 10, 1996
Jun Tanida, Wataru Watanabe, and Yoshiki Ichioka, "High-accuracy optical computing based on interval arithmetic and the fixed-point theorem," Appl. Opt. 35, 1367-1371 (1996)