Title :
General solution to dispersive wave equation and its application to propagation
Author :
Gray, John E. ; Addison, Stephen R.
Author_Institution :
Dept. of Syst. Res. & Technol., Naval Surface Warfare Center, Dahlgren, VA, USA
Abstract :
The treatment of propagation in a linear dispersive medium is a problem that is outlined in many electromagnetic texts which consider the continuous time case. These texts don´t deal with initial value problems, but instead refer to Stratton for a complete treatment of the problem. Stratton uses both the Fourier transform and the Laplace transform to solve the initial value problems. The usage of both methods can cause both mathematical and conceptual problems.
Keywords :
Fourier transforms; Laplace transforms; dispersion (wave); electromagnetic wave propagation; initial value problems; Fourier transform; Laplace transform; dispersive wave equation; electromagnetic wave propagation; initial value problems; linear dispersive medium; Boundary conditions; Dispersion; Fourier transforms; Integral equations; Laplace equations; Linear systems; Partial differential equations; Space technology; State-space methods; Transfer functions;
Conference_Titel :
System Theory, 2004. Proceedings of the Thirty-Sixth Southeastern Symposium on
Print_ISBN :
0-7803-8281-1
DOI :
10.1109/SSST.2004.1295707
