Work

Research on the dynamic modeling method of beam control for liquid crystal optical phased array based on the fractional-order generalized Kelvin model

Year: 2025

Type: article

Abstract: Liquid crystal optical phased array (LCOPA) serves as a core component for non-mechanical beam steering. Their beam response is affected by the viscoelasticity of liquid crystals, exhibiting dynamic hysteresis and nonlinear characteristics, making traditional integer-order models inadequate for describing the beam steering dynamics. This paper proposes a dynamic modeling method based on a fractional-order generalized Kelvin viscoelastic model. By utilizing the memory characteristics of fractional-order derivatives and the multiscale properties of the generalized Kelvin model, a fractional-order constitutive equation for LCOPA elements and a dynamic model relating phase modulation to deflection angles are established, with parameter identification performed using the nonlinear least squares method. Experimental results show that the model outperforms integer-order models in fitting accuracy, better characterizes hysteresis and nonlinearities, and has good generalization capability, providing a foundation for precise LCOPA control and the design of high-performance non-mechanical beam steering systems.

Source: Optics Express

DOI: 10.1364/oe.572247

Authors: Jinyang Yu, Chunyang Wang, Xuelian Liu, Lin Wang, Xinjie Ma

Institutions: Changchun University of Science and Technology, Xi'an Technological University

Language: English

Topic: Liquid Crystal Research Advancements

Subfield: Electronic, Optical and Magnetic Materials

Field: Materials Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,270

Funder: Xi'an Science and Technology Association