dorsal/arxiv
View SchemaPerturbative analysis of generally nonlocal spatial optical solitons
| Authors | Shigen Ouyang, Qi Guo, Wei Hu |
|---|---|
| Categories | |
| ArXiv ID | physics/0609163 |
| URL | https://arxiv.org/abs/physics/0609163 |
| DOI | 10.1103/PhysRevE.74.036622 |
| Journal | Phys. Rev. A74, 036622(2006) |
Abstract
In analogy to a perturbed harmonic oscillator, we calculate the fundamental and some other higher order soliton solutions of the nonlocal nonlinear Schroedinger equation (NNLSE) in the second approximation in the generally nonlocal case. Comparing with numerical simulations we show that soliton solutions in the 2nd approximation can describe the generally nonlocal soliton states of the NNLSE more exactly than that in the zeroth approximation. We show that for the nonlocal case of an exponential-decay type nonlocal response the Gaussian-function-like soliton solutions can't describe the nonlocal soliton states exactly even in the strongly nonlocal case. The properties of such nonlocal solitons are investigated. In the strongly nonlocal limit, the soliton's power and phase constant are both in inverse proportion to the 4th power of its beam width for the nonlocal case of a Gaussian function type nonlocal response, and are both in inverse proportion to the 3th power of its beam width for the nonlocal case of an exponential-decay type nonlocal response.
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"abstract": "In analogy to a perturbed harmonic oscillator, we calculate the fundamental\nand some other higher order soliton solutions of the nonlocal nonlinear\nSchroedinger equation (NNLSE) in the second approximation in the generally\nnonlocal case. Comparing with numerical simulations we show that soliton\nsolutions in the 2nd approximation can describe the generally nonlocal soliton\nstates of the NNLSE more exactly than that in the zeroth approximation. We show\nthat for the nonlocal case of an exponential-decay type nonlocal response the\nGaussian-function-like soliton solutions can\u0027t describe the nonlocal soliton\nstates exactly even in the strongly nonlocal case. The properties of such\nnonlocal solitons are investigated. In the strongly nonlocal limit, the\nsoliton\u0027s power and phase constant are both in inverse proportion to the 4th\npower of its beam width for the nonlocal case of a Gaussian function type\nnonlocal response, and are both in inverse proportion to the 3th power of its\nbeam width for the nonlocal case of an exponential-decay type nonlocal\nresponse.",
"arxiv_id": "physics/0609163",
"authors": [
"Shigen Ouyang",
"Qi Guo",
"Wei Hu"
],
"categories": [
"physics.optics"
],
"doi": "10.1103/PhysRevE.74.036622",
"journal_ref": "Phys. Rev. A74, 036622(2006)",
"title": "Perturbative analysis of generally nonlocal spatial optical solitons",
"url": "https://arxiv.org/abs/physics/0609163"
},
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