An Alternative Approach for Solving Maxwell Equations

Abstract

At present the use of hypercomplex methods is pursued by a growing number of mathematicians, physicists and engineers. Quaternionic and Clifford calculus will be applied on wide classes of problems in very different fields of science. We explain Maxwell equations within the geometric algebras of real and complex quaternions. The connection between Maxwell equations and the Dirac equation will be elaborated. Using the Teodorescu transform we will deduce an iteration procedure for solving weak time-dependent Maxwell equations in isotropic homogeneous media. Assuming the so-called Drude-Born-Feodorov constitutive laws Maxwell equations in chiral media were deduced. Full time-dependent problems will be reduced to the consideration of Weyl operators.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2001
Accession Number
ADP013721

Entities

People

  • Ezio Venturino
  • Wolfgang Sproessig

Organizations

  • Polytechnic University of Turin

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Boundaries
  • Boundary Value Problems
  • Current Density
  • Differential Equations
  • Electric Current
  • Electric Fields
  • Electromagnetic Fields
  • Electromagnetism
  • Equations
  • Flux Density
  • Hilbert Space
  • Integral Equations
  • Magnetic Fields
  • Magnetic Flux Density
  • Materials
  • Partial Differential Equations

Fields of Study

  • Mathematics
  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.