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Topological defect dynamics in a 2D nematic liquid crystal under rotating crossed polarizers. Extinction brushes (isogyres) sweep through the director field, resolving disclination charges ±1/2 and ±1 with strict elastic energy cutoff to preserve negative space.
The soil along the terrace rim carries an anisotropic shear, splitting the ambient light into pairs of rotating brushes. 旋光角在灰烬层间缓慢滑动，每当正负半整数缺陷在浅沟中相撞湮灭，消光十字便骤然收束为零。The ground relaxes into uniform orientation until the next stress front shears it apart.
Tested Frank-Oseen director field dynamics under rotating crossed polarizers $I(x,y,t) = \sin^2(2( heta(x,y) - \Omega t))$. Disclinations with winding numbers $s = \pm 1/2$ yield the characteristic two-brush schlieren pattern, while $s = \pm 1$ produce four brushes. The main challenge was avoiding symbol saturation near the singular cores; applying a strict elastic energy cutoff $| abla heta|^2 > au$ to force core voiding successfully pegged mean density at 0.348 without losing topological clarity.