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Ray tracing and reflectivity measurements in nematic hybrid cells

机译:向列混合电池中的射线追踪和反射率测量

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We propose an experimental procedure to show that an optical beam may propagate in a planar-homeotropic hybrid nematic crystal cell for incidence angles i larger than the critical one. Its effect on the reflectance coefficient R as a function of i is accounted for by using total internal reflection techniques. We model the propagation of a linearly polarized Gaussian beam of finite diameter through the cell and the reflectance curves R vs. i are calculated theoretically in the total internal reflection regime by using an analytical description. The experimental procedure, cell assembling and methodology are designed so that there is reasonable consistency with the model assumptions. In the optical limit approximation this model allows us to calculate analytically the phase shift, the trajectory and the reflectivity curves of a beam traveling with an extraordinary polarization (P-polarization) inside the cell. Since only some parts of the reflected beams will interfere, Berreman's method is not suitable for the physical situation considered. The possibility of leakage through the tunneling effect across the cell is also considered and estimated quantitatively. The comparison between the theoretical results and the experimental data shows good agreement between our experimental results and the theoretical curves R vs. i. We compare our results with other measurements reported in the literature and find that the behavior of the reflectance curve is highly affected by the cell thickness-beam waist ratio. The values of this parameter can produce different behaviors of the reflectivity measurements. The analysis of the model predictions and experimental results suggest a possible interpretation of the physical origin of the reflectivity curves and give a qualitative insight into the phenomena behind the total internal reflection regime. Finally, we emphasize the limitations and advantages of the model and of the experimental results presented. (C) 2003 Elsevier Science B.V. All rights reserved. [References: 24]
机译:我们提出了一种实验程序,以表明光束可以在平面垂直同向混合向列晶胞中传播,其入射角i大于临界角。通过使用全内反射技术,可以解释其对反射系数R的影响(作为i的函数)。我们对有限直径的线性偏振高斯光束通过像元的传播进行建模,并使用解析描述从理论上在全内反射范围内计算出反射率曲线R vs. i。设计了实验程序,电池组装和方法,以便与模型假设有合理的一致性。在光学极限近似中,该模型使我们能够分析性地计算出在单元内部以非寻常偏振(P偏振)传播的光束的相移,轨迹和反射率曲线。由于仅部分反射光束会发生干涉,因此Berreman的方法不适用于所考虑的物理情况。还考虑并定量地估计了通过整个单元的隧道效应泄漏的可能性。理论结果与实验数据之间的比较表明,我们的实验结果与理论曲线R vs. i之间有很好的一致性。我们将我们的结果与文献中报道的其他测量结果进行比较,发现反射率曲线的行为受单元厚度-束腰比的影响很大。该参数的值可以产生不同的反射率测量行为。对模型预测和实验结果的分析表明,可能解释了反射率曲线的物理原点,并提供了对内部全反射机制背后现象的定性见解。最后,我们强调模型和实验结果的局限性和优势。 (C)2003 Elsevier Science B.V.保留所有权利。 [参考:24]

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