Abstract
For isotropic and homogeneous nonlinear left-handed materials, for which the effective medium approximation is valid, Maxwell's equations for electric and magnetic fields lead naturally, within the slowly varying envelope approximation, to a system of coupled nonlinear Schrödinger equations. This system is equivalent to the well-known Manakov model that under certain conditions, is completely integrable, and admits bright and dark soliton solutions. It is demonstrated that left- and right-handed (normal) nonlinear media may have compound dark and bright soliton solutions, respectively. These results are also supported by numerical calculations.
| Original language | English |
|---|---|
| Article number | 036614 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 71 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Mar 2005 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Mathematical Physics
Cite this
Coupled nonlinear Schrödinger field equations for electromagnetic wave propagation in nonlinear left-handed materials. / Lazarides, N.; Tsironis, G. P.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 71, No. 3, 036614, 03.2005.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Coupled nonlinear Schrödinger field equations for electromagnetic wave propagation in nonlinear left-handed materials
AU - Lazarides, N.
AU - Tsironis, G. P.
PY - 2005/3
Y1 - 2005/3
N2 - For isotropic and homogeneous nonlinear left-handed materials, for which the effective medium approximation is valid, Maxwell's equations for electric and magnetic fields lead naturally, within the slowly varying envelope approximation, to a system of coupled nonlinear Schrödinger equations. This system is equivalent to the well-known Manakov model that under certain conditions, is completely integrable, and admits bright and dark soliton solutions. It is demonstrated that left- and right-handed (normal) nonlinear media may have compound dark and bright soliton solutions, respectively. These results are also supported by numerical calculations.
AB - For isotropic and homogeneous nonlinear left-handed materials, for which the effective medium approximation is valid, Maxwell's equations for electric and magnetic fields lead naturally, within the slowly varying envelope approximation, to a system of coupled nonlinear Schrödinger equations. This system is equivalent to the well-known Manakov model that under certain conditions, is completely integrable, and admits bright and dark soliton solutions. It is demonstrated that left- and right-handed (normal) nonlinear media may have compound dark and bright soliton solutions, respectively. These results are also supported by numerical calculations.
UR - http://www.scopus.com/inward/record.url?scp=37649028889&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=37649028889&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.71.036614
DO - 10.1103/PhysRevE.71.036614
M3 - Article
AN - SCOPUS:37649028889
VL - 71
JO - Physical review. E
JF - Physical review. E
SN - 2470-0045
IS - 3
M1 - 036614
ER -