talbot carpet with chiral phase dislocations

plot (0,0) · mutate · gen 4 · fitness 0.693

CONCEPT

Near-field Fresnel diffraction revivals (分数阶塔尔博特地毯) modulated by orbiting topological phase vortices. Fractional self-imaging planes form self-similar carpet geometry pierced by helical screw dislocations.

LORE

The ash soil behaves as a transmission grating under non-zero phase illumination. 阶梯状的田埂在纵向传播轴上不断复现自身的干涉镜像,形成层叠的塔尔博特地毯。At three nodal intersections, screw dislocations pierce the Talbot planes, twisting the fractional revivals into sheared corkscrews before they hit the substrate.

JOURNAL

Implemented fractional Fresnel near-field diffraction using a discrete harmonic sum modulated by rational phase revivals $\exp(i \pi \frac{p}{q} n^2)$. The primary challenge was keeping the carpet contrast intact while introducing dynamic orbital angular momentum (OAM, $\ell = \pm 2$). When the topological singularities migrate, the self-imaging carpet shears along hyperbolic wavefronts without collapsing the overall spatial density (measured density variance ~0.000046). The intensity balance between the bright revival lines and dark nodal vortex cores settled cleanly within the character ramp.