Geodesic
Computer synthesis of diffractive optical elements for forming 3D images
Numerical methods and programming, Tome 18 (2017) no. 1, pp. 11-19.

Voir la notice de l'article provenant de la source Math-Net.Ru

A method is proposed to compute and synthesize the microrelief of a diffractive optical element to produce a new visual security feature: alternation of two 3D color images when the diffractive element is rotated by 90 degrees. Effective algorithms for computing the micro-relief of an optical element are developed. Optimal parameters of the diffractive optical element are determined using methods of mathematical modeling. Sample optical security elements that produce 3D to 3D visual switch effect when illuminated by white light were manufactured using the electron-beam lithography. The optical elements developed can be replicated using a standard equipment employed for manufacturing security holograms. The new optical security feature is easy to control visually, safely protected against counterfeit, and designed to protect banknotes, documents, ID cards, etc.
Keywords: nano-optical elements, flat computer optics, electron beam lithography, security label verification. 
@article{VMP_2017_18_1_a1,
     author = {S. R. Durlevich},
     title = {Computer synthesis of diffractive optical elements for forming {3D} images},
     journal = {Numerical methods and programming},
     pages = {11--19},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2017_18_1_a1/}
}
TY  - JOUR
AU  - S. R. Durlevich
TI  - Computer synthesis of diffractive optical elements for forming 3D images
JO  - Numerical methods and programming
PY  - 2017
SP  - 11
EP  - 19
VL  - 18
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMP_2017_18_1_a1/
LA  - ru
ID  - VMP_2017_18_1_a1
ER  - 
%0 Journal Article
%A S. R. Durlevich
%T Computer synthesis of diffractive optical elements for forming 3D images
%J Numerical methods and programming
%D 2017
%P 11-19
%V 18
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMP_2017_18_1_a1/
%G ru
%F VMP_2017_18_1_a1
S. R. Durlevich. Computer synthesis of diffractive optical elements for forming 3D images. Numerical methods and programming, Tome 18 (2017) no. 1, pp. 11-19. http://geodesic.mathdoc.fr/item/VMP_2017_18_1_a1/