A note on dimension reduction and finite energy localized wave solutions to the 3-D klein-gordon and scalar wave equations. Part II. X wave-type

Progress in Electromagnetics Research

Volumn 27, Issue , 2000, Pages 357-365

  Besieris, I M ^a   Shaarawi, A M ^b   Ligthart, L P ^c  

^a Virginia Polytechnic Institute and State University   (United States)

^b CAIRO UNIVERSITY   (Egypt)

^c DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009939061     PISSN: 10704698     EISSN: 15598985     Source Type: Journal    
DOI: 10.2528/PIER99112301     Document Type: Article

References (7)

1. Besieris, I. M., A. M. Shaarawi, and L. P. Ligthart, "A note on dimension reduction and finite energy localized wave solutions to Klein-Gordon and scalar wave equations. Part I. FWM-type," J. Electromag. Waves Appl., Vol. 14, 595-612, 2000.
2. Besieris, I. M., M. Abdel-Rahman, A. M. Shaarawi, and A. Chatzipetros, "Two fundamental representations of exact solutions to the scalar wave equation," Progress in Electromag. Research, PIER 19, 1-48, 1998.
3. Prudnikov, A. P., Yu. A. Brychov, and O. I. Marichev, Integrals and Series, Vol. 4: Direct Laplace Transforms, 269, Gordon and Breach Science Publishers, New York, NY, 1952.
4. Lu, J. Y. and J. F. Greenleaf, "Nondiffracting X waves-exact solutions to free space scalar wave equations and their aperture realizations," IEEE Trans. Ultrason. Ferroelec. Freq. Contr., 39, 19-31, 1992.
5. Ziolkowski, R. W., I. M. Besieris, and A. M. Shaarawi, "Aperture realizations of exact solutions to homogeneous wave equations," J. Opt. Soc. Am. A, 10, 76-87, 1993.
6. Brittingham, J. N., "Focus wave modes in homogeneous Maxwell equations: transverse electric mode," J. Appl. Phys., 54, 1179-1189, 1983.
7. Ziolkowski, R. W., "Exact solutions to the wave equation with complex source locations," J. Math. Phys., 26, 861-863, 1985.