Two-dimensional Fourier transform kinoforms can be calculated by use of a discrete Fourier transform. It is well known that the off-axis reconstruction has lower reconstruction error than the on-axis one. Here we make what to our knowledge is a new analysis on the effect of phase quantization in the Fourier domain. We find that the kinoform reconstruction error changes periodically according to the position of the desired image when a large dummy area is added. The error dependence of quantized kinoform reconstruction is simulated on the position of the desired image by use of the iterative dummy area method and the iterative interlacing technique.
© 2000 Optical Society of America
Original Manuscript: October 11, 1999
Revised Manuscript: March 15, 2000
Published: June 10, 2000
Shiyuan Yang and Teruo Shimomura, "Error dependence of quantized kinoform reconstruction on the position of the desired image," Appl. Opt. 39, 2896-2903 (2000)