Quaternionic time-harmonic Maxwell operator

DOI10.1088/0305-4470/28/17/030zbMath0869.35099OpenAlexW2087515843MaRDI QIDQ3127713

Vladislav V. Kravchenko, Michael V. Shapiro

Publication date: 10 April 1997

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/28/17/030

zbMATH Keywords

Maxwell's equationshyperholomorphic functionsCauchy-type integral

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Functions of hypercomplex variables and generalized variables (30G35) Electromagnetic theory (general) (78A25)

Related Items (12)

Towards a physics on fractals: differential vector calculus in three-dimensional continuum with fractal metric ⋮ On the Hilbert operator and the Hilbert formulas on the unit sphere for the time-harmonic Maxwell equations ⋮ On Dirichlet type problems of polynomial Dirac equations with boundary conditions ⋮ On a connection between the Maxwell system, the extended Maxwell system, the Dirac operator and gravito-electromagnetism ⋮ Cauchy representation formulas for Maxwell equations in 3-dimensional domains with fractal boundaries ⋮ A new approach for describing electromagnetic wave propagation in inhomogeneous media ⋮ Boundary value problems for Dirac operators and Maxwell's equations in fractal domains ⋮ Multi‐periodic eigensolutions to the Dirac operator and applications to the generalized Helmholtz equation on flat cylinders and on the n‐torus ⋮ The Riemann boundary value problem related to the time-harmonic Maxwell equations ⋮ Explicit representations of the regular solutions to the time‐harmonic Maxwell equations combined with the radial symmetric Euler operator ⋮ Some properties of the Cauchy-type integral for the time harmonic Maxwell equations ⋮ 2D quaternionic time-harmonic Maxwell system in elliptic coordinates

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