Application of bicomplex (quaternion) algebra to fundamental electromagnetics: a lower order alternative to the Helmholtz equation
From MaRDI portal
Publication:5349825
DOI10.1109/TAP.2003.810231zbMath1368.78006OpenAlexW2156775302MaRDI QIDQ5349825
Prodromos E. Atlamazoglou, Hristos T. Anastassiu, Dimitra I. Kaklamani
Publication date: 25 August 2017
Published in: IEEE Transactions on Antennas and Propagation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1109/tap.2003.810231
Functions of hypercomplex variables and generalized variables (30G35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electromagnetic theory (general) (78A25)
Related Items (10)
Biquaternionic reformulation of a fractional monochromatic Maxwell system ⋮ Conjugate complex harmonic functions ⋮ Bicomplex hypergeometric function and its properties ⋮ Gravitational mass and energy gradient in the ultra-strong magnetic fields ⋮ Field equations in the complex quaternion spaces ⋮ Bicomplex Fibonacci quaternions ⋮ Quaternion diffusion for color image filtering ⋮ Color confinement and spatial dimensions in the complex-sedenion space ⋮ A Comparison of Norms: Bicomplex Root and Ratio Tests and an Extension Theorem ⋮ 2D quaternionic time-harmonic Maxwell system in elliptic coordinates
This page was built for publication: Application of bicomplex (quaternion) algebra to fundamental electromagnetics: a lower order alternative to the Helmholtz equation