Title :
Asymptotics of the Green functions for Helmholtz operators in almost stratified medias
Author :
Perez, Ricardo Magos ; Rabinovich, Vladimir
Author_Institution :
Inst. Politecnico Nacional, Mexico City
fDate :
May 28 2005-June 1 2005
Abstract :
Wo consider the Helmholtz equation describing the propagation of acoustic and electromagnetic waves in a nonhomogeneous media slowly varying in the horizontal direction. The contribution in the asymptotics of discrete and continuous spectrums of the transversal Sturm-Liouville´s problem is studied. A uniform asymptotics of the Green function in neighborhoods of thresholds has been obtained
Keywords :
Green´s function methods; Helmholtz equations; acoustic wave propagation; electromagnetic wave propagation; inhomogeneous media; Green functions; Helmholtz operators; acoustic propagation; electromagnetic waves propagation; nonhomogeneous media; stratified media; transversal Sturm-Liouville problems; Acoustic propagation; Acoustic waves; Electromagnetic propagation; Electromagnetic scattering; Electromagnetic waveguides; Equations; Green function; Hydrogen; Nonhomogeneous media; Optical waveguides;
Conference_Titel :
Days on Diffraction, 2005. DD 2005. Proceedings of the International Conference
Conference_Location :
St.Petersburg
Print_ISBN :
5-9651-0140-6
DOI :
10.1109/DD.2005.204895
