Using Diffraction Method to Analyze Three-Dimensional Photonic Liquid Crystals

Yen-Hsun Chen^1*, Po-Chang Chen¹, Duan-Yi Guo¹, Ting-Mao Feng¹, Hung-Chang Jau¹, Tsung-Hsien Lin¹

¹Department of Photonic, National Sun Yat-sen University, Kaohsiung, Taiwan

* Presenter:Yen-Hsun Chen, email:davidchen991119@gmail.com

Three-dimensional liquid crystalline photonic crystal (3D LCPC) has been extensively studied in recent years. Here, we propose a method to simulate its diffraction patterns in this work. We calculate the Bragg reflection spectrum of 3D LCPC by coupled- mode theory (CMT), and further obtain theoretical diffraction images based on the angle-dependent Bragg reflection. The simulated diffraction patterns are very close to the experimental results. Additionally, we can analyze their dispersion relation and their diffraction images for 3D LCPCs with different lattice symmetries by wavelength-scanning.

Keywords: blue phase liquid crystal, diffraction pattern, lattice analyzing