Construction and characterization of compound holographic lenses for multichannel one-dimensional Fourier transformation and optical parallel processing

We present the design of holographic spherocylindrical lenses composed by two biaxial holographic elements. These compound lenses exhibit smaller aberrations than biaxial holographic lenses while maintaining high efficiency and a high signal-to-noise ratio. We develop a theoretical expression for the third-order aberrations in these systems making use of the wavefront matching method. We construct different anamorphic lenses with two relative orientations of the focal line with respect to the direction of propagation of the plane construction waves, and study their efficiency and the quality of multichannel Fourier transform. Making use of these lenses, we build an anamorphic one-dimensional processor and evaluate its performance as an image forming system for flat objects.