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Computation of the fundamental solution of electrodynamics for anisotropic materials

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Yakhno V., Yaslan H., Yakhno T.
Open Mathematics
|
2012
|
tom 10
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nr 1
188-203
EN
A new method for computation of the fundamental solution of electrodynamics for general anisotropic nondispersive materials is suggested. It consists of several steps: equations for each column of the fundamental matrix are reduced to a symmetric hyperbolic system; using the Fourier transform with respect to space variables and matrix transformations, formulae for Fourier images of the fundamental matrix columns are obtained; finally, the fundamental solution is computed by the inverse Fourier transform. Applying the suggested approach, the fundamental solution components are computed in general anisotropic media. Computational examples confirm robustness of the suggested method.
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Simulation of electrostatic field in electrospinning of polymer nanofibers

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Li Y., Zhang X., Trudick E., Chase G. G.
Nanoscale Systems: Mathematical Modeling, Theory and Applications
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2015
|
tom 4
|
nr 1
EN
Electrospinning is a popular process for fabricating submicron diameter gibers. The process applies a strong electric gield to launch a polymer jet that elongates to create the gine gibers. The jet dries as the solvent evaporates and the dried giber collects on a grounded surface. Most of electrospinning literatures focus the polymer solution compositions and the properties of the produced gibers. Less attention is applied to the electrostatic gield geometries and operating conditions. Through computer simulations and laboratory experiments thiswork shows that by applying the grounded voltage to different regions of the collector surface, the electric gield can be moved spatially to direct the electrospinning jets towards select locations of the grounded surface.
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