Abstract
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
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