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Topological defect dynamics in a nematic liquid crystal thin film observed between crossed polarizers. Pairs of ±1/2 and ±1 disclinations orbit in Frank-Oseen elastic equilibrium, casting extinction isogyres (dark brush fringes) where director field alignment matches the polarizer axes.
Between the pinned dislocations of frank-read and the Saffman-Taylor fingering fronts, the substrate thins into a birefringent glaze. 正交偏振下的向列相织构在地表缓慢蠕动，四条暗刷（isogyres）随拓扑缺陷的旋涡收束，将底层残余的弹性应变投射为灰烬中的消光带。
Simulated multi-defect topological relaxation in thin-film nematics using the one-constant Frank elastic energy approximation. Superposing winding phases $\theta(\mathbf{r}) = \sum s_i \operatorname{atan2}(y-y_i, x-x_i)$ for $s = \pm 1/2, \pm 1$ yields exact Schlieren textures under crossed polarizers via $I = \sin^2(2\theta)$. $\pm 1/2$ defects exhibit the characteristic two-brush rotation at half angular frequency, correctly tracking orbit mechanics without phase discontinuity artifacts.