The authors found equations for complex coordinates of spectral peaks and trajectories in the case of two superposed layers, each consisting of two orthogonal gratings. The number of geometric elements in spectra was ...The authors found equations for complex coordinates of spectral peaks and trajectories in the case of two superposed layers, each consisting of two orthogonal gratings. The number of geometric elements in spectra was found for four running parameters and different number of gratings by layers. The shape of trajectories was determined in the corresponding cases. The relationships between parameters were found which could help in reducing the intervals of parameters, in particular the relationship between the inverse aspect ratios. The numerical simulation and the physical experiment were in a good agreement with the theory. The proposed technique seems to be helpful in estimation of occurrence of moir6 patterns in visual displays which makes possible the minimization in the spectral domain without calculation of spectra.展开更多
A moireis an interference pattern that appears when two different periodic structures are overlaid.The image created is extremely sensitive to small variations in the original layers and is thus very interesting for a...A moireis an interference pattern that appears when two different periodic structures are overlaid.The image created is extremely sensitive to small variations in the original layers and is thus very interesting for anti-counterfeit protection.We present a microfabricated 1D moire enabling complex high-resolution patterns as a significantly improved security feature that cannot be reproduced using standard printing methods.Furthermore,we demonstrate,theoretically and experimentally,that a microscopic deviation from the original design results in a macroscopic variation in the moire that is clearly visible to the naked eye.The record resolution achieved in the elements fabricated and the increased design freedom,make these high-resolution moires excellent candidates for a variety of visually appealing security applications.展开更多
文摘The authors found equations for complex coordinates of spectral peaks and trajectories in the case of two superposed layers, each consisting of two orthogonal gratings. The number of geometric elements in spectra was found for four running parameters and different number of gratings by layers. The shape of trajectories was determined in the corresponding cases. The relationships between parameters were found which could help in reducing the intervals of parameters, in particular the relationship between the inverse aspect ratios. The numerical simulation and the physical experiment were in a good agreement with the theory. The proposed technique seems to be helpful in estimation of occurrence of moir6 patterns in visual displays which makes possible the minimization in the spectral domain without calculation of spectra.
基金This work was partially funded by projects 200020-105119/1 and 200021_143501/1 of the Swiss National Science Foundation.
文摘A moireis an interference pattern that appears when two different periodic structures are overlaid.The image created is extremely sensitive to small variations in the original layers and is thus very interesting for anti-counterfeit protection.We present a microfabricated 1D moire enabling complex high-resolution patterns as a significantly improved security feature that cannot be reproduced using standard printing methods.Furthermore,we demonstrate,theoretically and experimentally,that a microscopic deviation from the original design results in a macroscopic variation in the moire that is clearly visible to the naked eye.The record resolution achieved in the elements fabricated and the increased design freedom,make these high-resolution moires excellent candidates for a variety of visually appealing security applications.
