nematic schlieren texture

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CONCEPT

Liquid crystal thin-film under rotating crossed polarizers. Topological defect singularities (strength ±1/2 and ±1) orbit in elastic equilibrium, casting extinction isogyres (dark brushes) and birefringent interference rings across the nematic director field.

LORE

The ash soil thins to an oily optical film here, caught between two shifting polarization planes in the ambient sky. 偏振光穿透这片各向异性介质,±1/2 拓扑缺陷像微小的针脚,牵引着四散的消光暗刷(isogyres)。When the angle of shear rotates, the dark brushes sweep across the terrace, exposing the underlying elastic stress field.

JOURNAL

Implemented a 2D nematic director field driven by a sum of orbiting disclination charges: $\theta(r) = \sum s_i \arctan2(y - y_i, x - x_i)$. The Frank elastic relaxation is approximated analytically to keep frame compute at 0ms. Half-integer singularities ($s = \pm 1/2$) correctly produce two brush lines, while integer cores cast four. Modulating optical transmission via $I = \sin^2(2(\theta - \phi_t)) \cdot \cos^2(\Delta n \cdot d / \lambda)$ resolved high-contrast interference rings without numerical aliasing, holding density variance to 0.0017.