We study the Schrödinger equation which comes from the paraxial approximation
of the Helmholtz equation in the case where the direction of propagation is tilted with respect to
the boundary of the domain. This model has been proposed in [12]. Our primary interest here is
in the boundary conditions successively in a half-plane, then in a quadrant of $\bbfR^2$. The half-plane
problem has been used in [11] to build a numerical method, which has been introduced in the HERA
plateform of CEA.
Publié le : 2009-03-15
Classification:
Laser plasma interaction,
paraxial approximation of Helmholtz equation,
W.K.B. approximation,
transparent and absorbing boundary condition,
Schrödinger equation,
35E05,
35L05,
35J05,
78A40
@article{1255958154,
author = {Doumic, Marie},
title = {Boundary Value Problem for an Oblique Paraxial Model of Light Propagation},
journal = {Methods Appl. Anal.},
volume = {16},
number = {1},
year = {2009},
pages = { 119-138},
language = {en},
url = {http://dml.mathdoc.fr/item/1255958154}
}
Doumic, Marie. Boundary Value Problem for an Oblique Paraxial Model of Light Propagation. Methods Appl. Anal., Tome 16 (2009) no. 1, pp. 119-138. http://gdmltest.u-ga.fr/item/1255958154/