Name
Abstract | ||
|---|---|---|
We study the Schrodinger 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. In a first part, a mathematical analysis is made which leads to an analytical formula of the solution in the simple case where the refraction index and the absorption coefficients are constant. Afterwards, we propose a numerical method for solving the initial problem which uses the previous analytical expression. Numerical results are presented. We also sketch an extension to a time dependent model which is relevant for laser-plasma interaction. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.jcp.2008.10.009 | J. Comput. Physics |
Keywords | Field | DocType |
initial problem,tilted frame,space marching method,schrödinger equation,previous analytical expression,paraxial model,laser beam propagation,schrodinger equation,analytical formula,numerical method,tilted frame propagation,laser–plasma interaction,helmholtz equation,numerical result,laser-plasma interaction,paraxial approximation,simple case,absorption coefficient,mathematical physics,mathematical analysis,refractive index | Paraxial approximation,Mathematical analysis,Schrödinger equation,Fast Fourier transform,Helmholtz equation,Numerical analysis,Mathematics,Laser beams,Refractive index,Sketch | Journal |
Volume | Issue | ISSN |
228 | 3 | Journal of Computational Physics |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Marie Doumic | 1 | 1 | 2.06 |
| Frédéric Duboc | 2 | 0 | 0.34 |
| FrançOis Golse | 3 | 0 | 1.35 |
| R. Sentis | 4 | 10 | 3.47 |