Title :
Enhanced grid scheme for one-dimensional integro-differential Volterra equation in the time domain
Author :
Scherbatko, Igor V. ; Nerukh, Alexander G. ; Iezekiel, Stavros
Author_Institution :
Dept. of Mech. & Aerosp. Eng., Arizona State Univ., Tempe, AZ, USA
fDate :
4/1/2002 12:00:00 AM
Abstract :
An enhanced numerical method for solving a one-dimensional (1-D) integro-differential Volterra equation for time- and spatially varying dispersive dielectric media is proposed. The scheme is based on spatial-time discretization (marching scheme) with an enhanced Courant stability condition. The algorithm performs refinement of the results by a prediction-correction scheme and imposes restrictions on neither the signal shape and duration nor on the temporal behavior of the medium and is therefore generic. Results show good correlation with existing theoretical solutions and considerable improvement in precision over previous techniques. The influence of electromagnetic transients in the lossless dielectric layer on reflection and transmission coefficients is investigated
Keywords :
Volterra equations; dielectric bodies; dispersive media; electromagnetic wave polarisation; electromagnetic wave reflection; electromagnetic wave transmission; integro-differential equations; random media; time-domain analysis; 1D integro-differential Volterra equation; Courant stability condition; EM wave propagation; correlation; electromagnetic propagation; electromagnetic transients; enhanced grid scheme; enhanced numerical method; lossless dielectric layer; marching scheme; one-dimensional integro-differential Volterra equation; prediction-correction scheme; random media; reflection coefficients; spatial-time discretization; spatially varying dispersive dielectric media; time-varying dispersive dielectric media; transmission coefficients; Application software; Dielectric losses; Dispersion; Electromagnetic propagation; Electromagnetic transients; Finite difference methods; Integrodifferential equations; Signal processing algorithms; Stability; Time domain analysis;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2002.1003385
