2D Liquid Crystal — Director Field Switching

Nematic director field · Fréedericksz threshold reorientation · crossed-polarizer LCD transmittance

avg tilt θ = 0.0° transmittance T = 0.0% V / Vth = 0.00× state = OFF (bright)
▬ planar (V < Vth) ▬ homeotropic (V > Vth)

Above Vth, the electric torque overcomes the elastic (Frank) restoring torque and molecules tilt from planar toward homeotropic (field-aligned), reducing the birefringent phase shift and dimming transmitted light between crossed polarizers.