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 γ⃗1 and γ⃗2) and show an interference pattern spanning over a length γm=|γ⃗1|·|γ⃗2|/|γ⃗1γ⃗2| (with γ⃗1γ⃗2). With the coupled-wave theory, the complete analysis of the moiré optics includes at least 2γm/λ (λ: wavelength in vacuum) Fourier components and presents an ineffective computation. This work applies a cosτ 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 4τ|γ⃗1|/λ (or 4τ|γ⃗2|/λ) Fourier components, and are able to go back to a complete analysis when considering higher-order couplings at an appropriate τ integer value.

© 2012 Optical Society of America

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