Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 695208, 15 pages
Research Article

Mathematical Transform of Traveling-Wave Equations and Phase Aspects of Quantum Interaction

1Department of Electrical and Computer Engineering, University of West Florida, 11000 University Parkway, Pensacola, FL 32514, USA
2Faculty of Applied Sciences, Politechnica University, Hagi-Ghita 81, 060032 Bucharest, Romania

Received 28 July 2009; Accepted 30 August 2009

Academic Editor: Carlo Cattani

Copyright © 2010 Ezzat G. Bakhoum and Cristian Toma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The traveling wave equation is an essential tool in the study of vibrations and oscillating systems. This paper introduces an important extension to the Fourier/Laplace transform that is needed for the analysis of signals that are represented by traveling wave equations. Another objective of the paper is to present a mathematical technique for the simulation of the behavior of large systems of optical oscillators.