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Publication date: 1 December 1997

Pierre Hillion

Using the Jefimenko generalization of the Biot‐Savart law and the Laplace transform we analyse the electromagnetic radiation of a vertical dipole antenna fed with a pulsed…

209

Abstract

Using the Jefimenko generalization of the Biot‐Savart law and the Laplace transform we analyse the electromagnetic radiation of a vertical dipole antenna fed with a pulsed current. We get the magnetic field from the vector potential directly while the electric field is obtained through Maxwell’s equations. We write explicitly the expressions of the electromagnetic field for an exponentially decaying pulse and for a truncated harmonic pulse in vacuum and in a dispersive dielectric of the ionosphere type.

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COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol. 16 no. 4
Type: Research Article
ISSN: 0332-1649

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Article
Publication date: 1 June 1996

Pierre Hillion

Notes that Scalar digital plane waves are made of a finite or infinite sequence of discrete pulses which are solutions of a wave equation. Discusses the 1D and 2D wave equations…

198

Abstract

Notes that Scalar digital plane waves are made of a finite or infinite sequence of discrete pulses which are solutions of a wave equation. Discusses the 1D and 2D wave equations and shows how the 1D and 2D Laplace transforms may be used in connection with digital signals. Gives some examples of digital plane waves and, as an illustration, gives three different applications of this technique.

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COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol. 15 no. 2
Type: Research Article
ISSN: 0332-1649

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