Conoscopic Image Simulation for Nematic Liquid Crystal with Uniformly Tilted Alignment Using Jones Matrix Method

In this study, a computational model for generating conoscopic images of uniformly tilted nematic liquid crystals (LCs) is developed using the Jones matrix method. Conoscopic images, which reflect the optical properties of LCs, are crucial for evaluating their characteristics, especially tilt and orientation angles, which serve as key parameters for understanding LC behavior. The model simulates the conoscopic images formed by a nematic LC sandwiched between two orthogonally oriented polarizers, considering the orientation azimuth angle (<tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\theta$</tex>), tilt angle (<tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\varphi$</tex>), and the azimuth and zenith angles <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$(\alpha, \beta)$</tex> of the incident light. The light intensity at a specific point on the conoscopic image is expressed by a mathematical formula derived from the optical properties of the system. This program module effectively reproduces the conoscopic images and demonstrates its potential for assessing the optical characteristics of nematic LCs.