Back to Search
Start Over
Ultrashort pulses and short-pulse equations in 2+1 dimensions.
- Source :
-
Physical Review A: Atomic, Molecular & Optical Physics . Aug2012, Vol. 86 Issue 2-B, p1-7. 7p. - Publication Year :
- 2012
-
Abstract
- In this paper, we derive and study two versions of the short pulse equation (SPE) in (2 + 1) dimensions. Using Maxwell's equations as a starting point, and suitable Kramers-Kronig formulas for the permittivity and permeability of the medium, which are relevant, e.g., to left-handed metamaterials and dielectric slab wave guides, we employ a multiple scales technique to obtain the relevant models. General properties of the resulting (2+1l)-dimensional SPEs, including fundamental conservation laws, as well as the Lagrangian and Hamiltonian structure and numerical simulations for one- and two-dimensional initial data, are presented. Ultrashort one-dimensional breathers appear to be fairly robust, while rather general two-dimensional localized initial conditions are transformed into quasi-one-dimensional dispersing wave forms. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10502947
- Volume :
- 86
- Issue :
- 2-B
- Database :
- Academic Search Index
- Journal :
- Physical Review A: Atomic, Molecular & Optical Physics
- Publication Type :
- Periodical
- Accession number :
- 80446580
- Full Text :
- https://doi.org/10.1103/PhysRevA.86.023841