Abstract

Ray optics is used to analyze the image-transfer properties of interferometrically prepared fiber-optics structures. A previously demonstrated image-transfer plate formed by a crossed pair of sinusoidal-refractive-index gratings is analyzed to lowest order in index variations. Results include ray-guiding criteria, trajectories and their oscillation periods, the efficiency of image transfer, and an over-all picture of image formation and the effects of unguided light on fidelity and contrast. A model of a high-resolution array of discrete fibers is analyzed for comparison. The crossed-sinusoid structure is found to be more efficient under narrow-angle illumination. Adaptation of the fiber model as a limiting interferometric index profile yields a general idea of the range of image-transfer capabilities of interferometric structures and an assessment of the effects of large index variations.

© 1972 Optical Society of America

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