Observation of spatial optical solitons in a nonlinear glass waveguide

Aitchison, J. S.; Weiner, Andrew M.; Silberberg, Yaron; Oliver, Melody; Jackel, J.; Leaird, Daniel E.; Vogel, E.M.; Smith, P. W.

doi:10.1364/ol.15.000471

Cited by 455 publications

(154 citation statements)

References 10 publications

Supporting

Mentioning

151

Contrasting

Order By: Relevance

“…The limiting values at m = 0, 1 are also particularly simple: Taking expression (4) and using identity (6), the left side of the KP equation (1) becomes…”

Section: The Kadomtsev-petviashvili (Kp) Equationmentioning

confidence: 99%

Periodic solutions of nonlinear equations obtained by linear superposition

Cooper

Khare

Sukhatme

2002

J. Phys. A: Math. Gen.

View full text Add to dashboard Cite

We show that a type of linear superposition principle works for several nonlinear differential equations. Using this approach, we find periodic solutions of the Kadomtsev-Petviashvili (KP) equation, the nonlinear Schrödinger (NLS) equation, the λφ 4 model, the sine-Gordon equation and the Boussinesq equation by making appropriate linear superpositions of known periodic solutions. This unusual procedure for generating solutions is successful as a consequence of some powerful, recently discovered, cyclic identities satisfied by the Jacobi elliptic functions.

show abstract

“…The limiting values at m = 0, 1 are also particularly simple: Taking expression (4) and using identity (6), the left side of the KP equation (1) becomes…”

Section: The Kadomtsev-petviashvili (Kp) Equationmentioning

confidence: 99%

Periodic solutions of nonlinear equations obtained by linear superposition

Cooper

Khare

Sukhatme

2002

J. Phys. A: Math. Gen.

View full text Add to dashboard Cite

show abstract

“…Such observations thus far include collisions of Kerr-type solitons in liquid CS 2 (Ref. 13) and in glass waveguides 14 and of two-dimensional (2D) solitons in a saturable nonlinear medium. 15 Recently, the first observation of collisions between mutually incoherent 2D photorefractive solitons was reported.…”

mentioning

confidence: 99%

Coherent collisions of photorefractive solitons

et al. 1997

View full text Add to dashboard Cite

We present an experimental study of coherent collisions between one-dimensional bright photorefractive screening solitons in a bulk strontium barium niobate crystal. © 1997 Optical Society of America Photorefractive spatial solitons 1 -7 have become a subject of increased interest in the past few years. Several generic types of photorefractive self-trapping effects have been predicted and observed: quasisteady-state, 1 photovoltaic, 2 and screening solitons, Recently, the first observation of collisions between mutually incoherent 2D photorefractive solitons was reported. 16Here we report observations of coherent collisions between photorefractive solitons. The solitons exert repulsion or attraction forces upon each other, depending on the initial relative phase. For inphase collision, we find that the solitons fuse to a joint solution of the same or a broader width, which can be predicted from the soliton existence curve.Collisions between photorefractive solitons possess several unique features. First, when two optical beams intersect in a photorefractive medium, their interference gives rise to refractive-index gratings that couple the beams to each other by energy exchange and phase coupling. The strength of a two-beam-coupling interaction depends on the period the interference grating and, for periods much larger than the Debye length ͑L D ͒, the resultant space-charge field can be approximated as ͑k B T ͞q͒᭞I ͑͞I 1 I b 1 I d ͒, where I , I b , and I d are the intensities of the interfering beams, a uniform background illumination, and the dark irradiance, respectively, k B is Boltzman's constant, T is the temperature, and q is the electron charge. Second, the response time of photorefractive materials is inversely proportional to I 1 I b 1 I d . One can take advantage of the finite response time and observe collisions of solitons that are mutually incoherent, i.e., their relative phase (therefore their interference) varies randomly in time much faster than the medium can respond, hence the two-beam-coupling interaction is totally eliminated (now ᭞I ᭞I 1 1 ᭞I 2 , leading to self-bending 16 of both solitons). Incoherent collisions between photorefractive solitons 17 were found to be subject to the optical guiding properties of the waveguides induced by each of the solitons, which in turn are controlled by the soliton existence curve. 18Here we study coherent collisions between photorefractive solitons. Coherent collisions will be subject to (a) the waveguiding properties of the soliton-induced intersecting waveguides,19 which apply to all interacting solitons; (b) coherent attraction -repulsion forces, which apply to coherent soliton interactions only, and (c) two-beam-coupling processes, which apply to photorefractive spatial solitons only. For simplicity, we minimize (c) and study coherent collisions of photorefractive solitons with as little two-beam coupling as possible. Since for coherent collisions the interacting beams must be phase coherent to each other at all times, one cannot eliminate two-beam ...

show abstract

“…1(c), 1(g). The side-view pictures clearly show solitonlike self-guiding [15,16,24] exclusively induced by the presence of live cells. It should be pointed out that Fig.…”

mentioning

confidence: 94%

Nonlinear self-action of light through biological suspensions

Chen

2017

Proceedings of the 7th International Multidisciplinary Conference on Optofluidics 2017

View full text Add to dashboard Cite

Observation of spatial optical solitons in a nonlinear glass waveguide

Cited by 455 publications

References 10 publications

Periodic solutions of nonlinear equations obtained by linear superposition

Periodic solutions of nonlinear equations obtained by linear superposition

Coherent collisions of photorefractive solitons

Nonlinear self-action of light through biological suspensions

Contact Info

Product

Resources

About