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Fourier series analysis of fractal lenses: theory and experiments with a liquid-crystal display
Author(s) -
Jeffrey A. Davis,
Sean P. Sigarlaki,
Julia M. Craven,
M. L. Calvo
Publication year - 2006
Publication title -
applied optics
Language(s) - English
Resource type - Journals
ISSN - 0003-6935
DOI - 10.1364/ao.45.001187
Subject(s) - fractal , optics , lens (geology) , fourier transform , series (stratigraphy) , liquid crystal , fourier series , fourier optics , ptychography , materials science , physics , diffraction , mathematics , mathematical analysis , geology , paleontology , quantum mechanics
We report on a Fourier series approach that predicts the focal points and intensities produced by fractal zone plate lenses. This approach allows us to separate the effects of the fractal order from those of the lens aperture. We implement these fractal lenses onto a liquid-crystal display and show experimental verification of our theory.

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