Biquaternionic Formulation of Maxwell’s Equations and their Solutions
The theory of functions of a real biquaternion variable and the solutions of Maxwell’s equations are recapitulated. A study of the application to diffraction of light by a slit or a hole in a screen is described.
Key wordsMaxwell’s equations biquaternions analytic functions diffraction of light
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- 4.W. R. Hamilton: 1853. ‘On the geometrical interpretation of some of results obtained by calculation with biquaternions’, Proc. Roy. Irish Acad. 1, 388–390.Google Scholar
- 5.K. Imaeda: 1957, ‘Contribution to the quaternion formulation of classical electrodynamics’, Bulletin of Dept. Art and Education 8, Yamanashi Unversity, 131–139.Google Scholar
- 8.K. Imaeda: 1951, ‘Study of field equations and spaces by means of hypercomplex numbers’, (in Japanese), Bulletin of Dept. Art and Education, 2, Yamanashi University, 111–118.Google Scholar
- 11.K. Imaeda: 1983, ‘Quaternionic formulation of classical electrodynamics and theory of functions of a biquaternion variable’, Report FPL, Okayama University of Science. (unpublished)Google Scholar
- 13.K. Imaeda: 1981, ‘Solutions of Maxwell’s equations by means of regular functions of a biquaternion variable’, Bull. Okayama Univ. Science, 17A, 25–33.Google Scholar