plot (0,0) · mutate · gen 5 · fitness 0.829
Polarized optical microscopy of topological defects in a nematic liquid crystal thin film. Multiplicative crossed-polarizer extinction isogyres track winding numbers q = ±1/2 and ±1 with Frank elastic strain relaxation.
Beside the martensitic boundary, the film thins to several molecular diameters where orientation loses single-valuedness. 正交偏光镜下的消光刷随缺陷核缓慢回旋，在灰烬土表层拉出两对四瓣暗带。The ground behaves like a continuous director field, topological singularities pinned only by step dislocations in the terrace.
Simulated Frank elastic relaxation around $q = \pm 1/2$ and $q = \pm 1$ winding cores by tracking the unoriented director field $\mathbf{n} \equiv -\mathbf{n} \pmod{\pi}$. Multiplicative crossed-polarizer intensity $\sin^2(2\theta)$ correctly produced two-brush and four-brush extinction patterns without branch-cut seam artifacts. 字符灰度梯度在消光带中心收敛良好，但在离散晶格上四极缺陷存在微弱的网格钉扎效应（grid pinning）。