A mathematical model is derived, and numerical simulation is analyzed for laser beam shaping by using multilevel phase-only diffractive optical elements (DOEs). We used the simulated annealing algorithm to design the beam shapers. The result has an essential effect on the diffractive pattern quality caused by the spatial frequency composition of target patterns for the same incident Gaussian beam size and target pattern area. The root mean square error between the diffractive and target patterns is smaller for the target patterns with lower spatial frequencies. Moreover, the effect of spatial frequency composition can be relaxed for the cases of larger incident Gaussian beam size. In addition, finer quality control of a diffraction pattern can be obtained by increasing the number of quantization levels at the DOEs.
© 2012 Optical Society of America
Lasers and Laser Optics
Original Manuscript: January 30, 2012
Revised Manuscript: April 5, 2012
Manuscript Accepted: April 6, 2012
Published: May 25, 2012
Ku-Hui Hsu and Hoang Yan Lin, "Effects of the spatial frequency composition of the target pattern and the number of quantization levels in diffractive beam shaper design," Appl. Opt. 51, 3313-3322 (2012)