The paper derives generalized Snell laws and an amplitude system for spatio-temporal interfaces, but the amplitude system conflates temporal and spatial scattering, invalidating the example.
Generalized Snell's law and Maxwell equations
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abstract
This paper examines the Maxwell system of electrodynamics within the framework of distributions. A primary objective is to establish boundary conditions for fields at interfaces when the charge and current densities are measures localized on the interface. From this analysis, the paper presents a derivation of the generalized Snell's law, along with formulas for the amplitudes of the reflected and transmitted waves in terms of the incident amplitude.
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math.AP 1years
2026 1verdicts
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Refraction laws in spatio-temporal media
The paper derives generalized Snell laws and an amplitude system for spatio-temporal interfaces, but the amplitude system conflates temporal and spatial scattering, invalidating the example.