Abstract
It is shown that slow Bragg soliton solutions are possible in nonlinear complex parity-time (PT) symmetric periodic structures. Analysis indicates that the PT-symmetric component of the periodic optical refractive index can modify the grating band structure and hence the effective coupling between the forward and backward waves. Starting from a classical modified massive Thirring model, solitary wave solutions are obtained in closed form. The basic properties of these slow solitary waves and their dependence on their respective PT-symmetric gain-loss profile are then explored via numerical simulations.
| Original language | English |
|---|---|
| Article number | 033801 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 86 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Sep 4 2012 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
Cite this
Bragg solitons in nonlinear PT-symmetric periodic potentials. / Miri, Mohammad Ali; Aceves, Alejandro B.; Kottos, Tsampikos; Kovanis, Vassilios; Christodoulides, Demetrios N.
In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 86, No. 3, 033801, 04.09.2012.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Bragg solitons in nonlinear PT-symmetric periodic potentials
AU - Miri, Mohammad Ali
AU - Aceves, Alejandro B.
AU - Kottos, Tsampikos
AU - Kovanis, Vassilios
AU - Christodoulides, Demetrios N.
PY - 2012/9/4
Y1 - 2012/9/4
N2 - It is shown that slow Bragg soliton solutions are possible in nonlinear complex parity-time (PT) symmetric periodic structures. Analysis indicates that the PT-symmetric component of the periodic optical refractive index can modify the grating band structure and hence the effective coupling between the forward and backward waves. Starting from a classical modified massive Thirring model, solitary wave solutions are obtained in closed form. The basic properties of these slow solitary waves and their dependence on their respective PT-symmetric gain-loss profile are then explored via numerical simulations.
AB - It is shown that slow Bragg soliton solutions are possible in nonlinear complex parity-time (PT) symmetric periodic structures. Analysis indicates that the PT-symmetric component of the periodic optical refractive index can modify the grating band structure and hence the effective coupling between the forward and backward waves. Starting from a classical modified massive Thirring model, solitary wave solutions are obtained in closed form. The basic properties of these slow solitary waves and their dependence on their respective PT-symmetric gain-loss profile are then explored via numerical simulations.
UR - http://www.scopus.com/inward/record.url?scp=84865785054&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84865785054&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.86.033801
DO - 10.1103/PhysRevA.86.033801
M3 - Article
VL - 86
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 3
M1 - 033801
ER -