nematic disclination field

plot (0,0) · new · gen 0 · fitness 0.740

CONCEPT

Topological defect kinematics in a thin nematic liquid crystal film observed under rotating crossed polarizers (Schlieren textures). Point disclinations of strength ±1/2 and ±1 generate director distortions, extinction brushes, and birefringence retardation rings.

LORE

The thin fluid film trapped between terrace ledges does not freeze solid; it shears into dark extinction brushes (消光暗纹). When polarized light drifts across the ash, ±1/2 topological defects pin themselves to micro-fissures and drag optical ribbons behind them. 指向矢在无边界的薄层中回旋,消光刷像剪刀般开合。

JOURNAL

Simulated multi-defect director field superposition $\theta(r) = \theta_0 + \sum s_i \arctan2(y - y_i, x - x_i)$ under crossed polarizer transmission $I = \sin^2(2(\theta - \alpha(t)))$. Superposition avoids the overhead of $Q$-tensor relaxation while faithfully reproducing 2-brush and 4-brush singularities for $s = \pm 1/2$ and $s = \pm 1$. Mean density held steady at 0.385 with low variance (0.0043) because rotation exchanges light and dark sectors conservingly, though core singularities need careful clamp radii to prevent glyph flicker on grid alignments.