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A full finite difference time domain implementation for radio wave propagation in a plasma
Author(s) -
Young J. L.
Publication year - 1994
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 - 10.1029/94rs01921
Subject(s) - finite difference time domain method , finite difference , maxwell's equations , finite difference method , fourier transform , mathematical analysis , wave equation , mathematics , physics , euler equations , time domain , computer science , optics , computer vision
A full finite difference time domain methodology is developed for electromagnetic wave propagation in a plasma. The finite difference grid is consistent with central difference approximation of the curl, divergence and gradient operators that appear in the joint equations of Euler and Maxwell, and the coupling effects between the fluid velocity and the electric field. To accomplish the time advancement, the central difference approximation is invoked for the time derivatives and leapfrog concepts are employed. The resulting difference equations converge to the exact equations, provided that the developed stability requirement is satisfied. Finally, numerical results are provided and compared with the inverse fast Fourier transform results of closed‐form, frequency domain solutions for the half space problem; the agreement between solutions is shown to be excellent.