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math.AP2026
A mathematical description of the spin Hall effect of light in inhomogeneous media
Sam C. Collingbourne, Marius A. Oancea, Jan Sbierski
We study Gaussian wave packet solutions for Maxwell's equations in an isotropic, inhomogeneous medium and derive a system of ordinary differential equations that captures the leadi…
math.AP2025
A quasilinear wave with a supersonic shock in a weak solution interrupting the classical development
Leonardo Abbrescia, Pieter Blue, Jan Sbierski +1
We study the Cauchy problem for classical and weak shock-forming solutions to a model quasilinear wave equation in dimensions arising from a convenient choice of …