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Application of the Lienard‐Wiechert solution to a lightning return stroke model
Author(s) -
Meneghini Robert
Publication year - 1984
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs019i006p01485
Subject(s) - waveform , physics , mathematical analysis , curvature , convolution (computer science) , mathematics , acoustics , geometry , computer science , voltage , quantum mechanics , machine learning , artificial neural network
The electric and magnetic fields associated with a lossless transmission line model of the return stroke are expressed as a convolution of the current waveform shape and the fields generated by a moving charge of amplitude one (i.e., the Lienard‐Wiechert solution for a unit charge). The representation can be used to compute the fields produced by a current waveform of non‐uniform velocity that propagates along a filament of arbitrary, but finite, curvature. To study numerically the effects of linear charge acceleration and channel curvature, two simple channel models are used: the linear and the hyperbolic.