Adiabatic approximation of the green function of the Helmholtz operator in almost stratified medias

R. M. Perez; V. Rabinovich; I. M. Sanchez

doi:10.1134/S1061920807020094

Adiabatic approximation of the green function of the Helmholtz operator in almost stratified medias

R. M. Perez, V. Rabinovich, I. M. Sanchez

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

4 Citas (Scopus)

Resumen

The Helmholtz equation describing the propagation of acoustic and electromagnetic waves in a nonhomogeneous media slowly varying in the horizontal direction is considered. The contribution of the discrete and continuous spectra of the transversal Sturm-Liouville problem to the asymptotics is studied. A uniform asymptotics for the Green function in neighborhoods of thresholds is obtained.

Idioma original	Inglés
Páginas (desde-hasta)	201-212
Número de páginas	12
Publicación	Russian Journal of Mathematical Physics
Volumen	14
N.º	2
DOI	https://doi.org/10.1134/S1061920807020094
Estado	Publicada - jun. 2007

Acceder al documento

10.1134/S1061920807020094

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{964d748e9bf5481da96ef8f9236589ab,

title = "Adiabatic approximation of the green function of the Helmholtz operator in almost stratified medias",

abstract = "The Helmholtz equation describing the propagation of acoustic and electromagnetic waves in a nonhomogeneous media slowly varying in the horizontal direction is considered. The contribution of the discrete and continuous spectra of the transversal Sturm-Liouville problem to the asymptotics is studied. A uniform asymptotics for the Green function in neighborhoods of thresholds is obtained.",

author = "Perez, {R. M.} and V. Rabinovich and Sanchez, {I. M.}",

note = "Funding Information: The work was supported by CONACYT project # 43432. The authors are grateful to Professor V. Kucherenko for useful discussions and valuable remarks.",

year = "2007",

month = jun,

doi = "10.1134/S1061920807020094",

language = "Ingl{\'e}s",

volume = "14",

pages = "201--212",

journal = "Russian Journal of Mathematical Physics",

issn = "1061-9208",

number = "2",

}

TY - JOUR

T1 - Adiabatic approximation of the green function of the Helmholtz operator in almost stratified medias

AU - Perez, R. M.

AU - Rabinovich, V.

AU - Sanchez, I. M.

N1 - Funding Information: The work was supported by CONACYT project # 43432. The authors are grateful to Professor V. Kucherenko for useful discussions and valuable remarks.

PY - 2007/6

Y1 - 2007/6

N2 - The Helmholtz equation describing the propagation of acoustic and electromagnetic waves in a nonhomogeneous media slowly varying in the horizontal direction is considered. The contribution of the discrete and continuous spectra of the transversal Sturm-Liouville problem to the asymptotics is studied. A uniform asymptotics for the Green function in neighborhoods of thresholds is obtained.

AB - The Helmholtz equation describing the propagation of acoustic and electromagnetic waves in a nonhomogeneous media slowly varying in the horizontal direction is considered. The contribution of the discrete and continuous spectra of the transversal Sturm-Liouville problem to the asymptotics is studied. A uniform asymptotics for the Green function in neighborhoods of thresholds is obtained.

UR - http://www.scopus.com/inward/record.url?scp=34250848337&partnerID=8YFLogxK

U2 - 10.1134/S1061920807020094

DO - 10.1134/S1061920807020094

M3 - Artículo

SN - 1061-9208

VL - 14

SP - 201

EP - 212

JO - Russian Journal of Mathematical Physics

JF - Russian Journal of Mathematical Physics

IS - 2

ER -

Adiabatic approximation of the green function of the Helmholtz operator in almost stratified medias

Resumen

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto