title: Theoretical estimation of moiré effect using spectral trajectories.
abstract: Equations for spectral peaks and trajectories are found for N superposed one-dimensional gratings. The equations of trajectories are represented using the complex numbers. The number of geometric elements in the spectrum is found under various conditions and in the matrix form. The derivatives of trajectories are obtained. The orthogonal case is investigated in details, in particular, the regular structures (the square and the octagon) are found in the spectrum. The numerical simulation is in a good agreement with the theory. The proposed technique seems to be helpful in estimation of occurrence of moiré patterns in visual displays.
authors: Imaging Media Research Center, Korea Institute of Science and Technology (KIST), Seoul 136-791, South Korea. saveljev@kist.re.kr
authors: Vladimir
authors: V
authors: Saveljev
authors: Sung-Kyu
authors: SK
authors: Kim
mesh_terms: D003198:Computer Simulation; D008027:Light; D008962:Models, Theoretical; D012031:Refractometry / Q000379:methods*; D012542:Scattering, Radiation