Secure documents often comprise an information layer that is hard to reproduce. Moiré techniques for the prevention of counterfeiting rely on the superposition of an array of transparent lines or microlenses on top of a base layer containing hidden information. Moirés are advantageous since macroscopic effects are produced by superposing layers of microscopic structures. When generated at very high resolutions, these microstructures become hard to counterfeit.

Working principle and some examples

A simple way of apprehending the moiré phenomenon is seeing it as a sampling problem. The base layer contains some information that the revealer samples. Depending on the way the information is laid out in the base and on the revealer’s design, we can create a moiré with desired characteristics. Three of the main types of moirés that we use are presented in the following table.

2D moirés 1D moirés Level-line moirés

Although we work on creating new moiré effects, our main focus is on obtaining dynamic moirés on optically variable devices thanks to microfabrication techniques. The combination of microlenses and other microstructures results in attractive optically variable devices ([Cadarso et al. 2013] and ongoing research).


While the moiré phenomenon is used in many fields such as art, architecture, interferometry, microscopy, its security applications represent the core of our research. Examples of the use of moiré for security can be found in the new 100, 200, 500 and 1000-krona Swedish banknotes as well as on the new American 100$ banknote.

For any additional information, do not hesitate to contact Thomas Walger.

Keywords: moire



Moiré effects produced by superpositions of micro-lens arrays

T. Walger / J. Brugger; R. Hersch (Dir.)  

Lausanne, EPFL, 2020. 

Level-line moirés by superposition of cylindrical microlens gratings

T. Walger; T. Besson; V. Flauraud; R. D. Hersch; J. Brugger 

Journal of the Optical Society of America. 2020-01-10. Vol. A37, num. 2, p. 209-218. DOI : 10.1364/JOSAA.37.000209.

1D moiré shapes by superposed layers of micro-lenses

T. Walger; T. Besson; V. Flauraud; R. D. Hersch; J. Brugger 

Optics Express. 2019-12-23. Vol. 27, num. 26, p. 37419-37434. DOI : 10.1364/OE.27.037419.

Fabrication of 2D micro-lens arrays for moiré applications

M. Kaeppeli 


Fabrication of transparent moiré based optically variable devices

T. Besson 


Micro-moirés combining metallic patterns and micro-lenses

T. Walger; R. Hersch; J. Brugger 

Micro and Nano Engineering (MNE), Braga, Portugal, September 18-22, 2017.

Synthesis of superposition shape images by light interacting with layers of lenslets

R. D. Hersch; T. Walger; V. Flauraud; J. Brugger; T. Besson 

US10899161; SE543208; RU2018119314; RU2018119314; PL426607; US10286716; CL2018001115; US2018311990; BR112018008671; GB2561731; CN108541238; EP3368332; MX2018005369; KR20180095802; AT519643; DE112016004552; GB201806957; SE1850632; AU2016344585; CA3002906; WO2017072566; US2017113481.


High-resolution 1D moirés as counterfeit security features

V. J. Cadarso; S. Chosson; K. Sidler; R. D. Hersch; J. Brugger 

Light: Science & Applications. 2013. Vol. 2, num. 7, p. e86. DOI : 10.1038/lsa.2013.42.