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Articles

Clifford Algebra and Electromagnetic Boundary Conditions At an Interface

Pages 11-24 | Published online: 03 Apr 2012

References

  • Gibbs , J. W. and Wilson , E. B. 1909 . Vector Analysis , 2. ed. , New York : Scribner . Dover reprint, New York, 1960
  • Heaviside , O. 1925 . Electromagnetic Theory , London : Ernest Benn .
  • Bolinder , E. F. 1982 . “ Unified microwave network theory based on Clifford algebra in Lorentz space ” . In 12th European Microwave Conference , 25 – 35 . Helsinki .
  • Jancewicz , B. 1988 . Multivectors and Clifford Algebra in Electrodynamics , Singapore : World Scientific .
  • Hillion , P. 1995 . Constitutive relations and Clifford algebra in electromagnetism . Adv. in Appl. Cliff. Alg. , 5 : 141 – 158 .
  • Lounesto , P. 1997 . Clifford Algebras and Spinors , Cambridge : Cambridge University Press .
  • Hestenes , D. 1971 . Vectors, spinors, and complex numbers in classical and quantum physics . Am. J. Phys. , 39 : 1013 – 1027 .
  • Vold , T. G. 1993 . An introduction to geometric algebra with an application to rigid body dynamics," and "An introduction to geometric calculus and its application to electrodynamics . Am. J. Phys. , 61 : 491 – 513 .
  • Hestenes , D. 1966 . Space-time Algebra , New York : Gordon & Breach .
  • Hestenes , D. and Sobczyk , G. 1984 . Clifford Algebra to Geometric Calculus , Dordrecht : Reidel .
  • Stratton , J. A. 1981 . Electromagnetic Theory , New York : McGraw-Hill .
  • Hall , D. G. 1995 . A few remarks on the matching conditions at interfaces in electromagnetic theory . Am. J. Phys. , 63 : 508 – 512 .
  • Baylis , W. E. and Jones , G. 1989 . The Pauli algebra approach to special relativity . J. Phys. A , 22 : 1 – 15 .
  • Meetz , K. and Engl , W. L. 1980 . Elektromagnetische Felder: mathematische und physikalische Grundlagen, Anwendungen in Physik und Technik , Berlin : Springer .
  • Benn , I. M. and Tucker , R. W. 1987 . An Introduction to Spinors and Geometry with Applications in Physics , Bristol : Adam Hilger .
  • Kong , J. A. 1986 . Electromagnetic Wave Theory , New York : Wiley-Interscience .
  • Skorupski , A. 1962 . Boundary Conditions for Electromagnetic Fields in the Case of Moving Media . Bull. Acad. Polon. Sci. Ser. sci. math., astr. et phys. , 9 : 391 – 395 .
  • Costen , R. C. and Adamson , D. 1965 . Three-Dimensional Derivation of the Electrodynamic Jump Conditions and Momentum-Energy Laws at a Moving Boundary . Proc. IEEE , 55 : 1181 – 1196 .
  • Warnick , K. F. , Selfridge , R. H. and Arnold , D. V. 1995 . Electromagnetic Boundary Conditions Using Differential Forms . IEE Proc. H , 142 : 326 – 332 .
  • Misner , C. W. , Thorne , K. S. and Wheeler , J. A. 1970 . Gravitation , San Francisco : Freeman .
  • Deschamps , G. A. 1981 . Electromagnetics and differential forms . Proc. IEEE , 69 : 676 – 696 .

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