Antonov E. Methods for mathematical simulation of microrelief specialized structures for retroreflection and refraction of light

The dissertation presents the geometric models and methods for simulation of the optical characteristics of microprism structures: retroreflective, ophthalmic refractive and circular focusing ones. The calculations are performed for the parameters of specialized microprism devices with plane mirror facets for the formation of light fluxes, which can be made by the diamond cutting method. The method of optical quality control of retroreflective and refractive microprism surfaces by laser radiation diffraction on the microrelief has been developed. The calculations of the intensity of light fluxes was performed for complex three-layers structures to control the parameters of microrelief by the diffraction efficiency of the reflected and transmitted beams. A new method for simulating the resolution of optical images using the electronic registering of the light with test stroke objects is developed. The comparative optical parameters of existing ophthalmic microprisms of different manufacturers are obtained. The mathematical modeling has been carried out and the effect of color filters on the zone of dispersion chromatism zone for refractive microprisms is experimentally investigated. The quantitative characteristics of the chromatic zone decrease with the use of appropriate color filters are obtained. The model for the creation of achromatic refractive-diffraction microprisms is developed and the optical characteristics of special achromatic devices were obtained at the first time. The samples of special achromatizing microprisms, that are diffraction gratings with a small microrelief pitch, are experimentally investigated. Such devices are intended for total compensation of the dispersion chromatism of the refractive microprisms by the diffraction gratings.