Formation of optical vortices by light beams diffraction on holographically formed diffractive optical elements (DOE) in polymer-dispersed liquid crystals (PDLC) is theoretically described. The feature of investigated DOEs is in their special structure designed to convert the incident light fields into Bessel-like. Numerical simulations for the external electric field’s interaction on these DOEs are obtained. Its influence on the light beams conversion efficiency is studied. The possibility to create electrically controllable transformation elements in PDLCs is theoretically justified.
In this work the numerical simulations of the holographic formation of diffractive optical elements for the light beams conversion into Bessel-like ones in polymer-dispersed liquid crystals (PDLCs) are performed. Theoretical model for simulations is based on the solution of the kinetic equations of photopolymerization-diffusion processes of holograms recording in PDLCs by light beams with inhomogeneous amplitude and phase spatial distributions. Kinetics of spatial harmonics of refraction index changings are investigated and it is shown that during the recording process the spatial profile of diffractive optical element is changing from sinusoidal to inharmonic one. This process is also depends on the ratio of the diffusion and photopolymerization processes rates.
In this work a theoretical model of the holographic formation of the polarization diffractive optical elements for the
transformation of Gaussian light beams into Bessel-like ones in polymer-dispersed liquid crystals (PDLC) is developed.
The model is based on solving the equations of photo-induced Fredericks transition processes for polarization diffractive
elements formation by orthogonally polarized light beams with inhomogeneous amplitude and phase profiles. The results
of numerical simulation of the material’s dielectric tensor changing due to the structure’s formation process are presented
for various recording beams’ polarization states. Based on the results of numerical simulation, the ability to form the
diffractive optical elements for light beams transformation by the polarization holography methods is shown.
In this work we developed the analytical model of highly effective diffraction on holographic diffraction structures in polymer-stabilized liquid crystals (PSLC) under the impact of arbitrarily inhomogeneous external electric field. The exact self-consistent analytical solutions are obtained by solving the system of coupled–wave equations describing the diffraction process by Riemann’s method. They takes into account the electrically-induced phase mismatch changing’s inhomogeneity caused by the strong adhesion between liquid crystal molecules and bounding surfaces. According to the obtained relations, numerical simulation of the diffraction characteristics under the influence of external fields with different form of spatial inhomogeneity was made. The simulation results show qualitative compliance with the earlier obtained results.
In this work is we have developed the analytical models of holographic formation of polarization grating in polymerdispersed liquid crystals (PSLCs) by non-uniform recording field and its subsequent readout by uniform plane optical wave. The formation model is based on Jones formalism for recording field description and on equations of photoinduced Fredericks transition for description of dielectric tensor perturbations. The model of gratings readout is based on the system of coupled-wave equations solutions in the fixed-field approximation. Photo-induced absorption coefficient changing and the strong surface adhesion effects are taken into account. According to the obtained relations, numerical simulation of the spatial changing of the dielectric tensor was made for some forms of amplitude and phase non-uniformity of recording beams. For each complex of formation conditions the diffraction characteristics are also investigated numerically. The influence of recording field non-uniformity on grating’s diffraction characteristics is shown.
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