Diffraction of light by 3D hexagonal phase gratings: applications for robotic color vision

Margarita A. Carbon

doi:10.1117/12.325799

6 October 1998 Diffraction of light by 3D hexagonal phase gratings: applications for robotic color vision

Margarita A. Carbon

Proceedings Volume 3522, Intelligent Robots and Computer Vision XVII: Algorithms, Techniques, and Active Vision; (1998) https://doi.org/10.1117/12.325799
Event: Photonics East (ISAM, VVDC, IEMB), 1998, Boston, MA, United States

Abstract

Diffraction of light by 3D phase grating layers could be effectively used for color image processing in robotic vision. Gratings with hexagonal close-packed structures have the maximum amount of cells per volume unit, which leads to an advantage for color image processing. Using the 4D spectral method, we solve the wave equation for diffraction of light by a 3D hexagonal phase grating layer of spherical particles. Both ABCA and ABAB structures are considered. Distribution of diffracted light intensity is calculated in the Fraunhofer and Fresnel diffraction zones. For particular grating distances, the incident white light diffracts in three spatially separated maximums with the central wavelengths corresponding to the three primary colors. The wavelength dependence of diffracted light intensity, for incident white light, is calculated for the three maximums. In general case, by using these three primary curves one can reconstruct the color of incident light from corresponding values of light intensities measured in the three diffracted maximums. The conditions for self-imaging of 3D grating layers are formulated and investigated. Intensity distributions for diffracted light in planes of positive and negative self-imaging, and in a plane of lowest contrast are computed.

Citation Download Citation

Margarita A. Carbon "Diffraction of light by 3D hexagonal phase gratings: applications for robotic color vision", Proc. SPIE 3522, Intelligent Robots and Computer Vision XVII: Algorithms, Techniques, and Active Vision, (6 October 1998); https://doi.org/10.1117/12.325799

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