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The geometric analysis is performed using Fraunhofer diﬀraction and conjugate imaging planes in a Fourier optics based approach. The ray tracing analysis is performed using the ZEMAX software for conﬁgurations involving achromatic lenses, ﬂat ﬁeld lenses, and a specialized lens array setup. Lastly, a unique SPIFI design setup is presented making use of a reﬂective scanned SPIFI mask to achieve random access imaging using three distinct spots for simultaneous imaging.","abstract_html":"This thesis presents the ﬁrst full geometric and physical optics characterization of aberrations and the performance of a simple system that implements SPatIal Frequency modulation for Imaging (SPIFI). SPIFI utilizes a chirped frequency mask that modulates the intensity of light along a single axis at a linear frequency sweep giving each lateral position a unique spatial frequency. 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