Multibeam Holographic Formation of the Polarization Photonic Structures in Polymer-dispersed Liquid Crystals

Holographic Formation of Non-uniform Diffraction Structures by Arbitrary Polarized Recording Beams in Liquid Crystal-photopolymer Compositions

“…Since the changes in the dielectric permittivity tensor of the PSLC (PDLC) sample, caused by the recording processes, are small relative to the unperturbed state [31,32,33,34], it is possible to present the resulting distribution of perturbed dielectric permittivity tensor in the form:for PSLC – trueε^(boldnormalr,t)=false(1−sans-serifρfalse)[εp⋅trueI^+true∑m=o,eΔsans-serifε^pm(boldnormalr,t)]+sans-serifρ[sans-serifε^lc+true∑m=o,eΔsans-serifε^lcm(boldnormalr,t)+Δsans-serifε^lcpolfalse(boldnormalr,tfalse)], for PDLC – trueε^(boldnormalr,t)=false(1−sans-serifρfalse)[ε…”

“…Changing the phase difference between them will change the polarization characteristics of the total light wave. To describe the polarization characteristics of the total optical field, similarly to [32,33,34], the Jones formalism should be applied:Jjmfalse(boldr,tfalse)=Ajmfalse(boldrfalse)⋅exp⌊−sans-serifα(boldnormalr,t)⋅(Nrjm⋅boldnormalr)⌋exp⌊i⋅φjmfalse(boldnormalrfalse)⌋⋅Mjm⋅Rjm⋅Djm, where Djm–Jones vectors of recording arbitrarily polarized waves in their own polarization bases; Rjm=[cosfalse(γjmfalse)−sinfalse(γjmfalse)sinfalse(γjmfalse)cosfalse(γjmfalse)], Mjm=<...>…”

“…In our previous works [32,33,34] we have shown that due to the influence of the photo-induced Freedericksz transition [35,36], it is possible to form the polarization diffraction gratings (PDGs) in LC-PPM by the polarization holography methods.…”