%0 Journal Article %T Mathematical Transform of Traveling-Wave Equations and Phase Aspects of Quantum Interaction %A Ezzat G. Bakhoum %A Cristian Toma %J Mathematical Problems in Engineering %D 2010 %I Hindawi Publishing Corporation %R 10.1155/2010/695208 %X 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. %U http://www.hindawi.com/journals/mpe/2010/695208/