Thermal Shock Tolerance of Ferroelectric Liquid Crystal Stabilized by Aligned Polymer Fibers

Abstract

The Fisher information matrix is employed in the gravitational-wave literature to quantify the statistical errors in estimating the parameters of gravitationalwave sources detectable by ground-based detectors. In particular, it is used to compute the lower bound on the variances of the parameters of the signals emitted by inspiralling compact binaries. However, the Fisher-matrix formalism is known to be valid in the strong-signal approximation only. Hence it is important to quantify the signal-to-noise ratio above which the Fisher information matrix is a reliable estimator, which can be done by performing numerical simulations. In this paper, we perform Monte Carlo simulations for the case of different source configurations of inspiralling compact binaries using 3.5 PN restricted post-Newtonian waveforms. We consider the initial LIGO design sensitivity curve. We found that for a (1.4, 10)M system, the Fisher information matrix predictions and those from Monte Carlo simulations are in very good agreement above a SNR of 20. We repeat the experiments for equal mass cases, namely a (1.4, 1.4)M and a (5, 5)M system. We found a systematic disagreement by a factor of 2 even at large SNRs (errors from the Fisher information matrix being higher). We have shown that by using templates with the symmetric mass ratio η > 0.25, the systematic disagreement vanishes in the regime of SNRs greater than 20.

Photorefractive Effect of Photoconductive-Polymer-Stabilized Ferroelectric Liquid Crystals

“…Transmittance through a pair of crossed polarizers sandwiching a FLC sample changes with the applied voltage and yields a hysteresis curve. When the FLC is completely bistable, the center of the optical hysteresis curve is 0 V. The deviation of the center of the hysteresis curve from 0 V means that the FLC exhibits a monostable state [14][15][16][17]. In the monostable state, the direction of spontaneous polarization is stabilized in one direction.…”

“…In the monostable state, the direction of spontaneous polarization is stabilized in one direction. The monostability of the direction of the spontaneous polarization is considered to be produced by the strong interaction between the FLC molecules and the mesogenic part of the polymer [16,17]. The electrooptical hysteresis of the mTPA-3=TNF=FLC mixture before and after UV irradiation was measured using the polarizing microscope (Fig.…”

“…The presence of a defect however leads to a smaller photorefractive effect [9]. It has been reported that a defect-free FLC material was obtained in a polymer-stabilized FLC (PS-FLCs) [16,17]. PS-FLC materials are prepared by photopolymerization of a mixture of FLC, LC monomer, and photoinitiator with the application of a monopolar electric field at a temperature, where the FLC material is in the SmC Ã phase.…”

Photorefractive effect in composites of ferroelectric liquid crystal and photoconductive polymer

“…Defect-free SS-FLC materials are desirable for a photorefractive material. It has been reported that a defect-free SS-state can be obtained using a polymerstabilized FLC [26,27]. The PS-FLC is formed through the photopolymerization of mesogenic acrylate monomer in an SS-state of a FLC in a 2 mm gap cell.…”

Self-Restoration by Smectic Layer Structures of Monostable Ferroelectric Liquid Crystal in Flexible Devices

“…We have already clarified that some tolerance to thermal shock is introduced into smectic layers of devices containing polymer fibers. 7) Other approaches to obtaining a gray-scale operation of FLCs that include mechanisms for a monostable FLC operation have been found using various methods. These include usage of special FLC mixtures 8) such as anti-FLC, control 9) of high-pretilt alignment layers and FLC cone angles, and dispersion of micropolymers.…”