Title :
An Overview of Simple Localized Solutions of the Wave Equation
Author :
Kiselev, Aleksei P.
Author_Institution :
Dept. of St.Petersburg, Steklov Math. Inst., St.Petersburg
Abstract :
An overview of simple localized solutions of the wave equation is presented, focused on exact solutions. We consider Bateman-type solutions, which show a Gaussian localization, localized at infinity Moses-Prosser "acoustic and electromagnetic bullets" and their time-harmonic counterparts, "X-waves", etc. Paraxial beams, including Bessel-Gauss beams, are discussed in the framework of the parabolic-equation formalism. Methods of constructing both exact and paraxial approximate solutions are described
Keywords :
electromagnetic wave propagation; parabolic equations; wave equations; Bateman-type solutions; Bessel-Gauss beams; Gaussian localization; acoustic bullets; electromagnetic bullets; infinity Moses-Prosser; parabolic-equation; paraxial approximate solutions; paraxial beams; wave equation; Differential equations; Gaussian processes; H infinity control; Partial differential equations; Roentgenium; Structural beams;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2006 International Conference on
Conference_Location :
Kharkiv
Print_ISBN :
1-4244-0490-8
DOI :
10.1109/MMET.2006.1689702
