Observation of Temporal Vector Soliton Propagation and Collision in Birefringent Fiber

Rand, Darren; Glesk, Ivan; Brès, Camille‐Sophie; Nolan, Daniel A.; Chen, Xin; Koh, Joohyun; Fleischer, Jason W.; Steiglitz, K.; Prucnal, Paul R.

doi:10.1103/physrevlett.98.053902

Cited by 98 publications

(48 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It should be noted that the asymptotic states S (1) n and S (4) n are independent of whether k >k or k <k, while the asymptotic states S (2) n and S (3) n can be exchanged to each other if k is in exchange withk.…”

Section: Three-soliton Collisionsmentioning

confidence: 99%

“…Bright VNLS solitons can exhibit the amplitude-preserving collisions with no energy exchange among all the components and amplitude-changing collisions along with energy exchange among the components, depending on the pre-collision soliton parameters [12 -15]. Recently, amplitude-changing collisions have been observed for c 2012 Verlag der Zeitschrift für Naturforschung, Tübingen · http://znaturforsch.com the spatial Manakov-like solitons in the Kerr and Kerrlike media [16] and temporal ones in the linearly birefringent optical fibers [4]. Such collisions have the potential applications in implementing the all-optical digital computation by virtue of some virtual logic gates [16,17].…”

Section: Introductionmentioning

confidence: 99%

“…, ψ m+1 ) T (T represents the transpose of a vector) is the vector eigenfunction, λ is the spectral parameter, E m is the m × m identity matrix, and the dagger denotes the Hermitian conjugate (i.e., transpose and conjugate). One can check that the compatibility condition Ψ TZ = Ψ ZT is exactly equivalent to (4). Since the Lax pair of (4) has been obtained, we would like to adopt the DT method [33] to find the determinant representation of soliton solutions.…”

Section: Nth Iterated Dtmentioning

confidence: 99%

“…Manakov [2] has firstly suggested VSs comprised of two orthogonally polarized components in a nonlinear Kerr medium under the assumption that the self-phase modulation is identical to the crossphase modulation. VSs have been experimentally observed in planar wave guides [3], birefringent optical fibers [4], photorefractive materials [5], and fiber laser resonators [6]. It has been shown that the VSs can be coupled in different combinations of the bright and dark solitons [7,8].…”

Section: Introductionmentioning

confidence: 99%

“…n and S (4) n always appear in pairs to be the asymptotic states of the nth colliding soliton as Z → ∓∞, so do S (2) n and S (3) n . Thus, the explicit formulae of the phase shifts for the nth colliding soliton, which changes from the state '2' to '3' and from '1' to '4', are respectively given by…”

mentioning

confidence: 99%

See 4 more Smart Citations

Bright N-Soliton Solutions to the Vector Hirota Equation from Nonlinear Optics with Symbolic Computation

Tian

2012

Zeitschrift Für Naturforschung A

View full text Add to dashboard Cite

Under investigation in this paper is the vector Hirota (VH) equation which governs the simultaneous propagation of multiple interacting femtosecond pulses in a certain type of coupled optical waveguides. By the Nth iterated Darboux transformation starting from the zero potential, the VH equation is found to admit the bright N-soliton solutions in terms of the multi-component Wronskian. Asymptotic formulae of the bright N-soliton solutions are derived for any given set of spectral parameters, which allows us to directly analyze the collision dynamics of VH solitons. Via symbolic computation, some collision properties possessed by the two-and three-soliton solutions are revealed from four aspects: the asymptotic patterns of the colliding solitons, parametric conditions for the amplitude-preserving collisions, phase shifts induced by the vector-soliton collisions, and soliton state changes described by the generalized linear fractional transformations.

show abstract

Section: Three-soliton Collisionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Nth Iterated Dtmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

Bright N-Soliton Solutions to the Vector Hirota Equation from Nonlinear Optics with Symbolic Computation

Tian

2012

Zeitschrift Für Naturforschung A

View full text Add to dashboard Cite

show abstract

Real‐Time Investigation of Ultrafast Dynamics through Time‐Stretched Dispersive Fourier Transform in Mode‐Locked Fiber Lasers

Lau

Cui

Liu

et al. 2023

Laser & Photonics Reviews

View full text Add to dashboard Cite

Real‐time investigation in mode‐locked fiber lasers (MLFLs) is important to understand the ultrafast dynamics before, during, and after the formation of stable laser pulses. However, the experimental measurement of these dynamics is restricted by the resolution of conventional oscilloscopes. The development of a time‐stretched dispersive Fourier transform (TS‐DFT) technique provides the shot‐to‐shot measurement of mapping the spectral information of an ultrashort optical pulse into time‐stretched waveform in the MLFL. Here, the recent progress and development of various fascinating dynamics in the MLFL, including the study of birth, evolution, and extinction process in MLFL, different types of MLFL, and complex motion dynamics in MLFL, have been reviewed. The issues and challenges encountered in this research area are discussed and several recommendations are suggested to overcome these problems. The integration of the TS‐DFT technique is expected to provide deeper insight into the real‐time investigation of various dynamics in the MLFL by displaying fascinating phenomenon and revealing unexplored trajectories.

show abstract

Emergent Phenomena of Vector Solitons Induced by the Linear Coupling

Gao

et al. 2023

Laser & Photonics Reviews

View full text Add to dashboard Cite

Coupling between modes is crucial for generating coherent structures and spatiotemporal chaos in optical systems. In an ultrafast fiber laser with birefringence, the stable pulse is viewed as a vector soliton (VS) with two orthogonal modes nonlinearly coupled through the Kerr effect and gain/loss. However, the dynamics of a VS in the presence of linear coupling is unperceived despite linear coupling playing a significant role in various optical systems. Here, it is shown that a local linear coupling between polarization modes in lasers facilitates brand‐new nonlinear states, including stationary, breathing, and chaotic VSs. The observed solitary states can be regarded as emergent phenomena when two particles (polarization modes) in a system have a simple interaction (linear coupling), which are ubiquitous in biology, chemistry, and complex systems. It is found that linear coupling is essential for sustaining the internal balance between two modes within the VS. Chaotic dynamics of VS emerge under weak linear coupling, while the two modes lose trapping due to the birefringence in the absence of linear coupling. This work can offer new insight into the two‐mode nonlinear system and inspire research interests in the intelligent manipulation of ultrashort pulse lasers.

show abstract

Observation of Temporal Vector Soliton Propagation and Collision in Birefringent Fiber

Cited by 98 publications

References 29 publications

Bright N-Soliton Solutions to the Vector Hirota Equation from Nonlinear Optics with Symbolic Computation

Bright N-Soliton Solutions to the Vector Hirota Equation from Nonlinear Optics with Symbolic Computation

Real‐Time Investigation of Ultrafast Dynamics through Time‐Stretched Dispersive Fourier Transform in Mode‐Locked Fiber Lasers

Emergent Phenomena of Vector Solitons Induced by the Linear Coupling

Contact Info

Product

Resources

About