Optical solitons in media with focusing and defocusing saturable nonlinearity and a parity-time-symmetric external potential
arXiv:1804.03314 · doi:10.1098/rsta.2017.0378
Abstract
We report results for solitons in models of waveguides with focusing or defocusing saturable nonlinearity and a parity-time(PT )-symmetric complex-valued external potential of the Scarf-II type. The model applies to the nonlinear wave propagation in graded-index optical waveguides with balanced gain and loss. We find both fundamental and multipole solitons for both focusing and defocusing signs of the saturable nonlinearity in such PT -symmetric waveguides. The dependence of the propagation constant on the soliton's power is presented for different strengths of the nonlinearity saturation, S. The stability of fundamental, dipole, tripole, and quadrupole solitons is investigated by means of the linear-stability analysis and direct numerical simulations of the corresponding (1+1)-dimensional nonlinear Schrodinger-type equation. The results show that the instability of the stationary solutions can be mitigated or completely suppressed, increasing the value of S.
arXiv comment9 pages, 6 figures, Phil. Trans. Roy. Soc. A, in press ( a theme issue on "Dissipative Structures in Matter out of Equilibrium: From Chemistry, Photonics and Biology", ed. by M. Tlidi, M. Clerc, and K. Panaiotov)
References in corpus (23)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Complex Extension of Quantum Mechanics
- PT-Symmetric Quantum Mechanics
- Nonlinear waves in -symmetric systems
- Visualization of Branch Points in PT-Symmetric Waveguides
- Physical realization of -symmetric potential scattering in a planar slab waveguide
- Nonlinear switching and solitons in PT-symmetric photonic systems
- Stability analysis for solitons in PT-symmetric optical lattices
- Solitons in PT-symmetric nonlinear lattices
- Stability of solitons in PT-symmetric couplers
- Solitons in combined linear and nonlinear lattice potentials
- Gain-Driven Discrete Breathers in PT-Symmetric Nonlinear Metamaterials
- Dark solitons and vortices in PT-symmetric nonlinear media: from spontaneous symmetry breaking to nonlinear PT phase transitions
- Nonlinear modes in finite-dimensional PT-symmetric systems
- PT-Symmetric Plasmonic Metamaterials
- Nonlinear modes in the harmonic PT-symmetric potential
- Bragg solitons in nonlinear PT-symmetric periodic potentials
- Solitons supported by complex PT symmetric Gaussian potentials
- Stimulation of the fluctuation superconductivity by the PT-symmetry
- Nonlinear localized modes in PT-symmetric Rosen-Morse potential well
- Soliton trains in photonic lattices
- Bose-Einstein condensation: Twenty years after
- PT-symmetry in optics beyond the paraxial approximation