Abstract
This work studies an approximate scheme by coupled-wave theory to analyze quickly the large-scale moiré phenomena as seen in common liquid-crystal devices. The moiré phenomena are considered to be caused by two periodic structures (with lattice vectors and ) and show an interference pattern spanning over a length (with ). With the coupled-wave theory, the complete analysis of the moiré optics includes at least (: wavelength in vacuum) Fourier components and presents an ineffective computation. This work applies a type approximation for the openings of unpatterned liquid-crystal pixels, and considers the first-order coupling between the Fourier components of pixels and other (periodic) optical structures. We hence arrive at an effective evaluation, including (or ) Fourier components, and are able to go back to a complete analysis when considering higher-order couplings at an appropriate integer value.
© 2012 Optical Society of America
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