Scaife B K P, Vij J K
Laboratory of Advanced Materials, Department of Electronic and Electrical Engineering, Trinity College, University of Dublin, Ireland.
J Chem Phys. 2005 May 1;122(17):174901. doi: 10.1063/1.1874833.
The theory of absorbance is developed for the entire electromagnetic spectrum of radiation in a semi-infinite anisotropic medium with a second rank dielectric tensor, the elements of which are complex and frequency dependent. The theory of the absorbance A(omega,theta) of an optically anisotropic liquid in an infrared (IR) test cell is then outlined and applied to IR transmission experiments. A formula for the dependence of A(omega,theta), on theta (theta being the angle between the electric vector and the principal optical axis) is derived from first principles. The formula, for radiation of angular frequency omega, viz, A(omega,theta)=-log(10)[10(-A(omega,0))cos(2)theta+10(-A(omega,pi2))sin(2)theta] is in agreement with that proposed by Jang, Park, Maclennan, Kim, and Clark [Ferroelectrics 180, 213 (1996) ] and confirms some of the work of Kocot, Wrzalik, and Vij [Liq. Cryst. 21, 147 (1996)]. The comments on this formula by Jang, Park, Kim, Glaser, and Clark [Phys. Rev. E 62, 5027 (2000)], and by Kocot et al. are discussed. The absorbance A(omega,0) and A(omega,pi2) have been expressed in terms of the optical properties of the material and the dimensions of the cell.
针对具有二阶介电张量的半无限各向异性介质中整个电磁辐射光谱，推导了吸光度理论，该张量元素为复数且与频率相关。随后概述了红外（IR）测试池中光学各向异性液体的吸光度A(ω,θ)理论，并将其应用于红外透射实验。从基本原理推导出A(ω,θ)随θ（θ为电矢量与主光轴之间的夹角）变化的公式。对于角频率为ω的辐射，该公式为A(ω,θ)= -log(10)[10^(-A(ω,0))cos²θ + 10^(-A(ω,π/2))sin²θ]，与Jang、Park、Maclennan、Kim和Clark [《铁电体》180, 213 (1996)] 提出的公式一致，并证实了Kocot、Wrzalik和Vij [《液晶》21, 147 (1996)] 的部分工作。讨论了Jang、Park、Kim、Glaser和Clark [《物理评论E》62, 5027 (2000)] 以及Kocot等人对该公式的评论。吸光度A(ω,0)和A(ω,π/2)已根据材料的光学性质和测试池尺寸表示出来。
