Abstract
In our paper we apply the elastic continuum theory in order to describe the working of a polarization grating device based on the ferronematic liquid crystal and driven by magnetical field. Solving the Euler–Lagrange equations we obtain analytical expressions for the critical thickness and threshold magnetic field in strong and weak anchoring conditions. We discuss the influence of the ferroparticle presence and properties on the behavior of a device based on the ferronematic liquid crystal polarization gratings. We study also the dynamic behavior of this kind of device and we find the expression for switching on and off times. Our study may be useful in designing magneto-optical devices which include nanoparticles or microprocessed surfaces.
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