On a quaternionic reformulation of Maxwell's equations for chiral media and its applications

DOI10.4171/ZAA/1163zbMath1060.30063OpenAlexW2005844655MaRDI QIDQ1431142

Héctor Oviedo, Vladislav V. Kravchenko

Publication date: 27 May 2004

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1163

zbMATH Keywords

Maxwell's equationschiral mediaquaternionic analysis

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Electromagnetic theory (general) (78A25)

Related Items (5)

Towards a physics on fractals: differential vector calculus in three-dimensional continuum with fractal metric ⋮ Electromagnetic fields in dispersive chiral media generated by modulated nonuniformly moving sources ⋮ Representations of the Beltrami fields in an isotropic chiral medium with the Drude-Born-Fedorov constitutive relations ⋮ Multifluid plasma equations in terms of hyperbolic octonions ⋮ On Beltrami fields with nonconstant proportionality factor on the plane

Cites Work

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• Propagation along the direction of inhomogeneity in an inhomogeneous chiral medium
• On force-free magnetic fields and Beltrami flows
• Quaternionic reformulation of Maxwell equations for inhomogeneous media and new solutions
• Quaternionic fundamental solutions for electromagnetic scattering problems and application
• Electromagnetic Scattering by a Homogeneous Chiral Obstacle: Boundary Integral Equations and Low-Chirality Approximations
• An analogue of the Sommerfeld radiation condition for the Dirac operator

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