Generalized Director Approach for Liquid-Crystal-Based Reconfigurable RF Devices

TL;DR

This paper introduces a computationally efficient integral-equation model for liquid crystal director tilting in reconfigurable RF devices, improving accuracy over previous methods by accounting for all elastic constants.

Contribution

It generalizes the director modeling approach to include all elastic constants, enhancing precision while maintaining simplicity.

Findings

Good agreement with numerical methods

Reduced error with lower voltage or dielectric anisotropy

More physically insightful modeling

Abstract

This letter presents a closed-form integral-equation formulation that models the director tilting in nematic liquid crystals. The proposed formulation is computationally efficient compared to numerical methods and provides a physical insight on the matter. Our previous work is generalized from the one-constant approach to all the possible cases that cover the elastic constants. These constants determine in great extent the electrical properties of the liquid crystal, and subsequently, the response of the reconfigurable devices that take use of it. Therefore, a more precise but still simple modeling of their influence is pursued here. Simulations show good agreement with numerical implementations. In comparison, the error in the estimation is considerably reduced when using the integral-equation formulation, specially as the polarization voltage or the dielectric anisotropy decreases.