Title :
Solution of non-stationary electrodynamics boundary value problem by FDTD and Volterra integral equation methods
Author :
Fedotov, Fedor V. ; Nerukh, Alexander G. ; Benson, Trevor ; Sewell, Philip
Author_Institution :
Dept. Higher Math., Kharkov Nat. Univ. of Radioelectronics, Ukraine
fDate :
6/24/1905 12:00:00 AM
Abstract :
Comparison of the two different approaches, the FDTD and VIETD algorithms, for solution of the 1D bounded nonstationary electrodynamics problem is implemented. Accuracy and stability of these methods were investigated. Numerical results for the different medium parameters have been presented. The results obtained in this work show that VIETD algorithm is more stable when medium parameters change abruptly in time. An original software for the computer modelling of electromagnetic wave propagation in a time-varying medium for arbitrary initial fields and different laws of changing in medium parameters has been created. The software environment allows development of different calculation schemes for the 1D nonstationary electrodynamics problem.
Keywords :
boundary-value problems; electrodynamics; electromagnetic field theory; finite difference time-domain analysis; integral equations; transients; 1D bounded nonstationary electrodynamics problem; 1D nonstationary electrodynamics problem; FDTD; VIETD algorithms; Volterra integral equation methods; abruptly changing medium parameters; arbitrary initial fields; calculation schemes; computer modelling; electromagnetic wave propagation; medium parameters; nonstationary electrodynamics boundary value problem; stability; time-varying medium; Boundary value problems; Electrodynamics; Electromagnetic fields; Electromagnetic propagation; Finite difference methods; Integral equations; Mathematics; Optical pulses; Permittivity; Time domain analysis;
Conference_Titel :
Transparent Optical Networks, 2002. Proceedings of the 2002 4th International Conference on
Print_ISBN :
0-7803-7375-8
DOI :
10.1109/ICTON.2002.1009540
