We present a new methodology for ray–tracing analysis of volume holographic imaging (VHI) systems. Using the k–sphere formulation, we apply geometrical relationships to describe the volumetric diffraction effects imposed on rays passing through a volume hologram. We explain the k–sphere formulation in conjunction with ray tracing process and describe its implementation in a Zemax ®UDS (User Defined Surface). We conclude with examples of simulation and optimization results and show proof of consistency and usefulness of the proposed model.
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