Engineering competing nonlinearities

Bang, Ole; Clausen, Carl A. Balslev; Christiansen, Peter Leth; Torner, Lluís

doi:10.1364/ol.24.001413

Cited by 77 publications

(42 citation statements)

References 14 publications

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“…This ACN appears in linear and/or nonlinear periodic QPM gratings of arbitrary shape [7], it can be focusing or defocusing, depending on the sign of the phase mismatch [7], and its strength can be increased (e.g., dominating the Kerr nonlinearity) by modulation of the grating [8]. In continuous-wave operation the ACN induces an intensity-dependent phase mismatch, just as the inherent Kerr nonlinearity, with potential use in switching applications [9,10].…”

Section: Introductionmentioning

confidence: 99%

Complete modulational-instability gain spectrum of nonlinear quasi-phase-matching gratings

Corney

Bang

2004

J. Opt. Soc. Am. B

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Section: Introductionmentioning

confidence: 99%

Complete modulational-instability gain spectrum of nonlinear quasi-phase-matching gratings

Corney

Bang

2004

J. Opt. Soc. Am. B

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“…[6,7,14] for systems based on QPM gratings). This approximation implies that the amplitude of the SH field is much smaller than its FF counterpart, hence, applying the approximation to the SH equations in system (4), it is necessary to take the XPM term into account.…”

Section: B the Analytical Approximationmentioning

confidence: 99%

“…While the χ (2) interactions between the fundamental-frequency (FF) and SH fields are sufficient for the creation of solitons, the competition between the χ (2) nonlinearity and its cubic (χ (3) ) counterpart, either self-focusing or defocusing, may be an essential factor affecting the efficiency of the FF SH conversion. In addition to the material Kerr effect, it was predicted [6,7] and experimentally demonstrated [8,9] that χ (3) nonlinearity can be engineered by means of the quasi-phase-matching (QPM) technique, which makes it possible to control the modulational instability [14] and pulse compression [10] in the medium. The χ (3) nonlinearity may also be induced by semiconductor dopants implanted into the χ (2) material [11]- [13].…”

Section: Introductionmentioning

confidence: 99%

Symmetric and asymmetric solitons in dual-core couplers with competing quadratic and cubic nonlinearities

Gubeskys

Malomed²

2013

J. Opt. Soc. Am. B

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We consider the model of a dual-core spatial-domain coupler with χ (2) and χ (3) nonlinearities acting in two parallel cores. We construct families of symmetric and asymmetric solitons in the system with self-defocusing χ (3) terms, and test their stability. The transition from symmetric to asymmetric soliton branches, and back to the symmetric ones proceeds via a bifurcation loop. A pair of stable asymmetric branches emerge from the symmetric family via a supercritical bifurcation; eventually, the asymmetric branches merge back into the symmetric one through a reverse bifurcation. The existence of the loop is explained by means of an extended version of the cascading approximation for the χ (2) interaction, which takes into regard the XPM par of the χ (3) interaction. When the inter-core coupling is weak, the bifurcation loop features a concave shape, with the asymmetric branches losing their stability at the turning points. In addition to the two-color solitons, which are built of the fundamental-frequency (FF) and second-harmonic (SH) components, in the case of the self-focusing χ (3) nonlinearity we also consider single-color solitons, which contain only the SH component but may be subject to the instability against FF perturbations. Asymmetric single-color solitons are always unstable, whereas the symmetric ones are stable, provided that they do not coexist with two-color counterparts. Collisions between tilted solitons are studied too.

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“…8) Figure 12: Schematic of the non-uniform QPM structures: (a) phase-reversed QPM structure ), and (b) periodically-chirped QPM structure (Bang, Clausen, Christiansen, and Torner [1999]). …”

Section: Phase-reversed Qpm Structuresmentioning

confidence: 99%

Multistep parametric processes in nonlinear optics

2005

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We present a comprehensive overview of different types of parametric interactions in nonlinear optics which are associated with simultaneous phase-matching of several optical processes in quadratic nonlinear media, the so-called multistep parametric interactions. We discuss a number of possibilities of double and multiple phase-matching in engineered structures with the sign-varying second-order nonlinear susceptibility, including (i) uniform and non-uniform quasi-phase-matched (QPM) periodic optical superlattices, (ii) phase-reversed and periodically chirped QPM structures, and (iii) uniform QPM structures in non-collinear geometry, including recently fabricated two-dimensional nonlinear quadratic photonic crystals. We also summarize the most important experimental results on the multi-frequency generation due to multistep parametric processes, and overview the physics and basic properties of multi-color optical parametric solitons generated by these parametric interactions.

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Engineering competing nonlinearities

Cited by 77 publications

References 14 publications

Complete modulational-instability gain spectrum of nonlinear quasi-phase-matching gratings

Complete modulational-instability gain spectrum of nonlinear quasi-phase-matching gratings

Symmetric and asymmetric solitons in dual-core couplers with competing quadratic and cubic nonlinearities

Multistep parametric processes in nonlinear optics

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