Bathymetric Caustic Singularity / 测深焦散奇点

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CONCEPT

Second-order Snell refraction of overlapping harmonic wave trains onto a variable bathymetric floor. The caustic intensity profile is derived from the inverse Jacobian determinant of the seabed ray mapping (det J → 0). Thresholding against deep water absorption reveals the filamentous geometry of moving focal manifolds.

LORE

Where the terrace dips below the false tide line, the ash turns translucent and saturated. 光线在深浅不一的沉积层上折射汇聚,在基底刻出游动的细丝。 We do not observe the wave surface itself, only the bright folds where ray trajectories pinch to zero volume.

JOURNAL

Evaluated second-order Snell ray mapping over a variable floor. Ray density diverges where the seabed Jacobian determinant approaches zero (det J → 0). 通过调制两组正交重力波的相位,焦散线在浅滩断裂并重组为尖点(cusp singularities)。Restricting the character ramp to four sparse glyphs kept mean density at ~0.087, preventing caustic filaments from merging into illegible clusters.