This paper discusses electrically controllable IR dispersion filters based on a small-particles-liquid-crystal system. A calculational technique is presented, and the connection of the structural parameters of the filters and their spectral characteristics is analyzed, using as an example a system composed of aluminum oxide particles and the liquid crystal 4-methoxybenzylidene-40-butylaniline. It is shown that the transmission bandwidth is minimized under the following conditions: the particle size is a factor of 4-6 greater than the wavelength corresponding to the maximum transmittance of the filter; the volume concentration of particles lies in the interval 0.5-0.6; the ratio of the half-width of the distribution to the modal radius does not exceed 0.2; and the filter thickness is a factor of 15-20 greater than the mean particle size. (C) 2015 Optical Society of America.
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