Uniform line spacing plane gratings are introduced into a recording system to generate aspherical wavefronts for recording varied line spacing plane holographic gratings. Analytical expressions of groove parameters are derived to the fourth order. A ray-tracing validation algorithm is provided based on Fermat's principle and a local search method. The recording parameters are optimized to record a varied line spacing plane holographic grating with the aid of derived analytical expressions. A design example demonstrates the exactness of the analytical expressions and the superiority of recording optics with auxiliary gratings.
© 2006 Optical Society of America
Diffraction and Gratings
Original Manuscript: October 10, 2005
Revised Manuscript: January 16, 2006
Manuscript Accepted: January 30, 2006
Ling Qing, Wu Gang, Liu Bin, and Wang Qiuping, "Varied line spacing plane holographic grating recorded by using uniform line spacing plane gratings," Appl. Opt. 45, 5059-5065 (2006)