Spatiotemporal coupling in dispersive nonlinear planar waveguides

Ryan, Andrew T.; Agrawal, Govind P.

doi:10.1364/josab.12.002382

Cited by 13 publications

(5 citation statements)

References 16 publications

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“…From Fig. 2, we see that the calculated solution exhibits a periodic expansion and contraction that is characteristic of higher-order solitons [9].…”

Section: Gvade Fdtd Simulation Of Temporal and Spatial Solitonsmentioning

confidence: 86%

General vector auxiliary differential equation finite-difference time-domain method for nonlinear optics

Greene¹,

Taflove²

2006

Opt. Express

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The auxiliary differential equation finite-difference time-domain method for modeling electromagnetic wave propagation in dispersive nonlinear materials is applied to problems where the electric field is not constrained to a single vector component. A full-vector Maxwell's equations solution incorporating multiple-pole linear Lorentz, nonlinear Kerr, and nonlinear Raman polarizations is presented. The application is illustrated by modeling a spatial soliton having two orthogonal electric field components. To the best of our knowledge, the numerical technique presented here is the first to model electromagnetic wave propagation with two or three orthogonal vector components in dispersive nonlinear materials. This technique offers the possibility of modeling sub-wavelength interactions of vector spatial solitons.

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“…From Fig. 2, we see that the calculated solution exhibits a periodic expansion and contraction that is characteristic of higher-order solitons [9].…”

Section: Gvade Fdtd Simulation Of Temporal and Spatial Solitonsmentioning

confidence: 86%

General vector auxiliary differential equation finite-difference time-domain method for nonlinear optics

Greene¹,

Taflove²

2006

Opt. Express

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“…collapse is expected, as was recently reported. 34 Indeed, the spatiotemporal rays see not a parabolic potential but a saddle-shaped one, 35 as can be found from the governing equations that model our experiments:…”

Section: Spatiotemporal Nonlinear Propagationmentioning

confidence: 81%

Cascaded second-order effects in N-(4-nitrophenyl)-L-prolinol, in a molecular single crystal

et al. 1997

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An investigation of cascaded second-order optical effects resulting in effective third-order interactions, temporal and spatial self-action, are presented for N-(4-nitrophenyl)-L-prolinol (NPP) a molecular single crystal with one of the largest phase-matchable second-order nonlinear coefficients known in the visible and near-infrared portions of the spectrum. We emphasize the effects of temporal and spatial walk-off in the nonlinear-optical propagation in NPP and discuss their consequences for cascaded second-order nonlinear applications. Walkoff effects play a detrimental role in cascaded all-optical switching. Whereas in standard second-harmonic generation walk-off reduces the efficiency but does not prevent the generation, in the case of cascading backconversation is required and more-deleterious effects occur: a portion of the field is lost in that the overlap between fundamental and second-harmonic wavelengths is reduced.

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“…In systems with no transverse confinement, the spatial envelope of an optical pulse is free to evolve in addition to its temporal envelope. This increased dimensionality opens up rich new physics and applications because of the nonlinear coupling of the spatial and temporal degrees of freedom 4,5 . Spatiotemporal solitons and spectral broadening have been studied in χ (2) media 6 and in arrays of coupled waveguides 7 .…”

Section: Introductionmentioning

confidence: 99%

Spatiotemporal continuum generation in polariton waveguides

et al. 2019

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We demonstrate the generation of a spatiotemporal optical continuum in a highly nonlinear exciton–polariton waveguide using extremely low excitation powers (2-ps, 100-W peak power pulses) and a submillimeter device suitable for integrated optics applications. We observe contributions from several mechanisms over a range of powers and demonstrate that the strong light–matter coupling significantly modifies the physics involved in all of them. The experimental data are well understood in combination with theoretical modeling. The results are applicable to a wide range of systems with linear coupling between nonlinear oscillators and particularly to emerging polariton devices that incorporate materials, such as gallium nitride and transition metal dichalcogenide monolayers that exhibit large light–matter coupling at room temperature. These open the door to low-power experimental studies of spatiotemporal nonlinear optics in submillimeter waveguide devices.

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Spatiotemporal coupling in dispersive nonlinear planar waveguides

Cited by 13 publications

References 16 publications

General vector auxiliary differential equation finite-difference time-domain method for nonlinear optics

General vector auxiliary differential equation finite-difference time-domain method for nonlinear optics

Cascaded second-order effects in N-(4-nitrophenyl)-L-prolinol, in a molecular single crystal

Spatiotemporal continuum generation in polariton waveguides

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