Higher-order effects and ultrashort solitons in left-handed metamaterials

Tsitsas, Nikolaos L.; Rompotis, N.; Kourakis, Ioannis; Kevrekidis, P. G.; Frantzeskakis, D. J.

doi:10.1103/physreve.79.037601

Cited by 76 publications

(51 citation statements)

References 25 publications

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“…In addition, both linear and nonlinear electromagnetic properties of MMs are engineerable, thus the manipulation of electromagnetic or light waves in MMs will be more desirable. Since 2005, some dynamical models for describing ultrashort pulse propagation in MMs with a cubic nonlinear polarization and/or a nonlinear magnetization have been established [18][19][20][21][22], several intriguing and counterintuitive nonlinear phenomena associated with pulse propagation and modulation instability have been disclosed [18][19][20][21][22][23][24][25], and various soliton phenomena and physics have been demonstrated [18][19][20][21][22][26][27][28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Spatiotemporal electromagnetic soliton and spatial ring formation in nonlinear metamaterials

et al. 2010

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We present a systematic investigation of ultrashort electromagnetic pulse propagation in metamaterials (MMs) with simultaneous cubic electric and magnetic nonlinearity. We predict that spatiotemporal electromagnetic solitons may exist in the positive-index region of a MM with focusing nonlinearity and anomalous group velocity dispersion (GVD), as well as in the negative-index region of the MM with defocusing nonlinearity and normal GVD. The experimental circumstances for generating and manipulating spatiotemporal electromagnetic solitons can be created by elaborating appropriate MMs. In addition, we find that, in the negative-index region of a MM, a spatial ring may be formed as the electromagnetic pulse propagates for focusing nonlinearity and anomalous GVD; while the phenomenon of temporal splitting of the electromagnetic pulse may appear for the same case except for the defocusing nonlinearity. Finally, we demonstrate that the nonlinear magnetization makes the sign of effective electric nonlinear effect switchable due to the combined action of electric and magnetic nonlinearity, exerting a significant influence on the propagation of electromagnetic pulses.

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Section: Introductionmentioning

confidence: 99%

Spatiotemporal electromagnetic soliton and spatial ring formation in nonlinear metamaterials

et al. 2010

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“…Accordingly, the wide study of self-focusing phenomena in Kerr nonlinear NIM has recently become a new and exciting field of research that has been the subject of intense investigations [25][26][27][28][29][30][31]. Several intriguing and counterintuitive nonlinear phenomena associated with optical collapse, optical solitons as well as modulation instability (MI) have been substantially disclosed [24][25][26][27][28][29][30][31][32][33][34][35] due to the anomalous electromagnetic properties of such materials. In particular, for MMs described by the Drude dispersive model, diffraction may be positive or negative, depending on the sign of refractive index seen by the propagating pulse in MMs [26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 98%

“…Very recently, advances in the fabrication of MMs, ranging from microwave to optical frequency and from linear to nonlinear effect, have further stimulated a great deal of research including the revaluation and characterization of the classical nonlinear optical processes [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. Accordingly, the wide study of self-focusing phenomena in Kerr nonlinear NIM has recently become a new and exciting field of research that has been the subject of intense investigations [25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 98%

Collapse of optical wave arrested by cross-phase modulation in nonlinear metamaterials

Zhang

Liu

Xiang

et al. 2015

Journal of Modern Optics

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In this article, we put forward a novel strategy to realize the management of wave collapse through designing probe-pump configuration where probe wave is assumed to propagate in the positive-index region of metamaterials (MMs), while pump wave is assumed to propagate in the negative-index region. We disclose that cross-phase modulation (XPM) in MMs as a new physical mechanism that can be used to arrest the collapse of probe wave in the positive-index region by copropagating it together with pump wave in the negative-index region. Further, we observe that pump wave will evolve into a ring while probe wave will develop a side lob in the wings during the course of coupled waves propagation, different from the corresponding counterpart in the ordinary positive-index materials (OMs) where they simultaneously exhibit the catastrophic self-focusing behavior. Meanwhile, we also discuss how to control the collapse of probe wave by adjusting intensity-detuned pump wave. Our analysis is performed by directly numerically solving the coupled nonlinear Schrödinger equations, as well as using the variational approximation, both showing consistent results. The finding demonstrates XPM as a specific physical mechanism in MMs can provide us unique opportunities unattainable in OMs to manipulate self-focusing of high-power laser.

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“…For example, the electromagnetic pulse propagation equation in MMs with a Kerr polarization and/or a Kerr magnetization has been reestablished [27]- [33]. In addition, several intriguing and counterintuitive nonlinear phenomena including the nonlinear interaction of ultrashort pulse with MMs [32], [33], modulation instability [34], [38], [39], and optical solitons [32], [36] have substantially been unfolded. More interestingly, for MMs described by the Drude dispersive model, our pioneer work have demonstrated that diffraction may be positive or negative, depending on the sign of refractive index seen by the propagating pulse in MMs [33], [36]- [38].…”

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confidence: 97%

Induced Focusing of Optical Wave From Cross-Phase Modulation in Nonlinear Metamaterials

Zhang

Xiang

Zhang

et al. 2014

IEEE J. Quantum Electron.

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In this paper, we investigate the novel behavior of induced focusing in nonlinear metamaterials (MMs) through designing probe-pump configuration, where the coupled waves may simultaneously experience negative refractive index or positive refractive index, or one experiences positive refractive index and another experiences negative refractive index both analytically and numerically. It is shown that cross-phase modulation (XPM) in MM not only brings some new features to the behavior of induced focusing, but also makes it possible in the ordinary positive-index materials (OMs), where it is otherwise impossible. First, we reveal that weak probe beam can be focused by strong pump beam even when their centers are completely overlapping each other. Moreover, it is found that the separated distance between coupled waves has an optimal value, which results in the strongest focusing of probe beam. Finally, another most notable property is that a spatial induced focusing is found to occur for different combinations of the signs of refractive index decided by the probe and pump beams, respectively, implying that a spatial XPM in MMs can be used as a more powerful tool for controlling the inducing focusing, when compared with the corresponding case in OMs. Our findings demonstrate that MMs can provide us unique opportunities unattainable in OMs to manipulate the all-optical control of optical focusing behavior through the new physical mechanism of XPM.

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Higher-order effects and ultrashort solitons in left-handed metamaterials

Abstract: Tsitsas, NL; Rompotis, N; Kourakis, I; Kevrekidis, PG; and Frantzeskakis, DJ, "Higher-order effects and ultrashort solitons in lefthanded metamaterials" (2009). PHYSICAL REVIEW E. 55. Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/55

Cited by 76 publications

References 25 publications

Spatiotemporal electromagnetic soliton and spatial ring formation in nonlinear metamaterials

Spatiotemporal electromagnetic soliton and spatial ring formation in nonlinear metamaterials

Collapse of optical wave arrested by cross-phase modulation in nonlinear metamaterials

Induced Focusing of Optical Wave From Cross-Phase Modulation in Nonlinear Metamaterials

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