DIRECTOR FIELD OF DISCLINATION LINE IN UNIAXIAL NEMATIC LIQUID CRYSTAL IN THE PRESENCE OF MAGNETIC FIELD

Abstract

Using the Oseen–Zöcher–Frank theory, in the steady state, I study the distortion energy of a disclination line in nematic liquid crystal in the presence of an external magnetic field. The director field around a disclination line is exactly calculated by minimizing the total free energy. The behavior of total free energy as a function of magnetic field for two kinds of nematic material (positive and negative magnetic anisotropy) are discussed. In the short distance limit, the total free energy per unit length is calculated. In this case, the magnetic dependence of total free energy is discussed.