Open AccessTheoretical estimation of moiré effect using spectral trajectories
Author(s) -
Vladimir Saveljev,
Sung Kyu Kim
Publication year - 2013
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.21.001693
Subject(s) - moiré pattern , optics , square (algebra) , spectrum (functional analysis) , spectral density , matrix (chemical analysis) , physics , mathematics , computer science , mathematical analysis , geometry , materials science , quantum mechanics , statistics , composite material
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.