Vol.3, No 15, 2003 pp.1103-1111
UDC 621
Invited Paper

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LINE SOURCE ABOVE NON-LINEAR INFINITE PLATE
Dragutin M. Veličković
Faculty of Electronic Engineering, University of Niš
Beogradska 14, 18000 Niš, Serbia and Montenegro,
Fax: +381 18 524 931, Phone: +381 18 529 429, E-mail: dragan@elfak.ni.ac.yu

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Abstract.  Very large steady uniform line charge is placed in two-layer medium, in the upper air layer, on the known height from the separating surface. The lower layer is isotropic, but non-linear, having known constitutive relation. Using Maxwell's equations electric potential and electric field are determined as solution of Poisson's equations in both layers, including existing boundary conditions that the potential and normal electric induction components are unchanged on the separating surface. Afterwards integral transform method is used. The working line and working point of non-linear layer are determined numerically and graphically, using one new and simple approximation of the non-linear medium characteristics.

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LINIJSKI IZVOR IZNAD NEOGRANIČENE
NELINEARNE PLOČE Stalno linijsko podužno naelektrisanje nalazi se u vazduhu iznad neograničene ploče načinjene od izotropnog, ali nelinearnog materijala, za koji su konstitutivni izrazi poznati. Koristeći metod integralnih transformacija rešene su Maksvelove jednačine uz postojeće granične uslove i određen potencijal i električno polje u oba sloja. Zatim je obrazovana jednačina radne prave i određena radna tačka nelinearne sredine. Pri tome je za aproksimaciju polarizacionih karakteristika nelinearne sredine predložen jedan novi jednostavan izraz.