The Distributions of the Electric Potential and Fields in the Polymer‐Stabilized Blue Phase Liquid Crystals Between Two Parallel Electrodes

ABSTRACT We derive analytic distributions of the electric potential and fields in one micro‐lens made of polymer‐stabilized blue phase liquid crystal (PS‐BPLC) between two electrodes with a circular opening on the upper electrode. PS‐BPLC shows the Kerr effect at sufficiently large electric fields. We adopt the extended convergence model to describe the induced birefringence in PS‐BPLC and suppose the local optical axis direction of each unit along the electric field vector. Finally, considering the mixed boundary problem and the zero‐voltage fixed at the lower electrode, the induced electric potential and fields are obtained. This study would benefit academic research and the liquid‐crystal industry. This work is also in line with the Sustainable Development Goal SDG9.