Introduction to Solitons in Photonic Lattices

Efremidis, Nikolaos K.; Fleischer, Jason W.; Bartal, Guy; Cohen, Oren; Buljan, Hrvoje; Christodoulides, Demetrios N.; Segev, Mordechai

doi:10.1007/978-3-642-02066-7_5

Cited by 3 publications

(2 citation statements)

References 127 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…and k x is the transverse wave vector of the eigenmode. The band gap structure for the waveguide arrays can be obtained by solving numerically the propagation constant q as a function of the transverse wave vector k x [10,39]. In order to calculate the band gap structure of the disordered waveguide arrays, we extract from the waveguide array an area containing N waveguides that is large enough to characterize the whole system without loss of generality when light propagates in it.…”

Section: Theoretical Analyses and Discussionmentioning

confidence: 99%

“…The topic was silent for more than one decade, and it gained renewed interest with the prediction of discrete spatial solitons in coupled nonlinear waveguide arrays [3]. Thereafter, much attention has been focused on the nonlinear light propagation in coupled waveguide arrays or photonic lattices [4][5][6][7][8][9][10][11][12], in which optical nonlinearity can be easily manifested due to the high optical nonlinearity and the low refractive index contrast of photonic lattices.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Anomalous refraction in disordered one-dimensional photonic lattices

Yin

Fang

et al. 2013

J. Opt. Soc. Am. B

View full text Add to dashboard Cite

We study the light refraction behavior at the entrance surface of the width-disordered one-dimensional waveguide array. As compared to the case in a uniform periodic waveguide array, anomalous refraction behavior is observed for the eigenmodes in the first band of the disordered waveguide array. The transverse propagation velocities of the eigenmodes in the first band are dramatically suppressed and the light is tightly confined around and propagates along the initially exciting waveguides. This may provide an effective method for beam coupling and collimation in the disordered photonic lattices.

show abstract

Section: Theoretical Analyses and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Anomalous refraction in disordered one-dimensional photonic lattices

Yin

Fang

et al. 2013

J. Opt. Soc. Am. B

View full text Add to dashboard Cite

show abstract

Quantum correlation of path-entangled two-photon states in waveguide arrays with defects

Dou

Han

et al. 2014

AIP Advances

View full text Add to dashboard Cite

We study the quantum correlation of path-entangled states of two photons in coupled one-dimensional waveguide arrays with lattice defects. Both off-diagonal and diagonal defects are considered, which show different effects on the quantum correlation of path-entangled two-photon states. Two-photon bunching or anti-bunching effects can be observed and controlled. The two photons are found to have a tendency to bunch at the side lobes with a repulsive off-diagonal defect, and the path-entanglement of the input two-photon state can be preserved during the propagation. We also found that defect modes may play an important role on the two-photon correlation of path-entangled states in the waveguide arrays. Due to the quantum interference effect, intriguing evolution dynamics of the two-photon correlation matrix elements with oscillation frequencies being either twice of or the same as that of a classical light wave, depending on the position of the correlation matrix element, is observed. Our results show that it is possible to manipulate the two-photon correlation properties of path-entangled states in waveguide arrays with lattice defects.

show abstract

New solitary solutions in FPU-β atom chain

Zhang

Liu

et al. 2016

Mod. Phys. Lett. B

View full text Add to dashboard Cite

Solitons in one-dimensional FPU-[Formula: see text] lattice chains were studied by the Jacobi elliptic function expansion method under the condition of quasi-continuum approximation. It is found that there exhibits a novel nonlinear elementary excitation, i.e. exact solitary solutions. On the basis of the above, the influence of the nonlinear intensity on the solitons was analyzed. It is found that the modulation amplitude of soliton is related closely to the nonlinear parameter also.

show abstract

Introduction to Solitons in Photonic Lattices

Cited by 3 publications

References 127 publications

Anomalous refraction in disordered one-dimensional photonic lattices

Anomalous refraction in disordered one-dimensional photonic lattices

Quantum correlation of path-entangled two-photon states in waveguide arrays with defects

New solitary solutions in FPU-β atom chain

Contact Info

Product

Resources

About