@article{22952, author = {{Sternemann, E. and Jostmeier, T. and Ruppert, C. and Duc, H. T. and Meier, Torsten and Betz, M.}}, issn = {{1098-0121}}, journal = {{Physical Review B}}, number = {{16}}, title = {{{Femtosecond quantum interference control of electrical currents in GaAs: Signatures beyond the perturbative χ(3) limit}}}, doi = {{10.1103/physrevb.88.165204}}, volume = {{88}}, year = {{2013}}, } @article{43254, abstract = {{A mechanism for creating a Newton's cradle (NC) in nonlinear light wave trains under the action of the third-order dispersion (TOD) is demonstrated. The formation of the NC structure plays an important role in the process of fission of higher-order (N) solitons in optical fibers. After the splitting of the initial N soliton into a nonuniform chain of fundamental quasisolitons, the tallest one travels along the entire chain, through consecutive collisions with other solitons, and then escapes, while the remaining chain of pulses stays as a bound state, due to the radiation-mediated interaction between them. Increasing the initial soliton's order, N, leads to the transmission through, and release of additional solitons with enhanced power, along with the emission of radiation, which may demonstrate a broadband supercontinuum spectrum. The NC dynamical regime remains robust in the presence of extra perturbations, such as the Raman and self-steepening effects, and dispersion terms above the third order. It is demonstrated that essentially the same NC mechanism is induced by the TOD in finite segments of periodic wave trains (in particular, soliton chains). A difference from the mechanical NC is that the TOD-driven pulse passing through the soliton array collects energy and momentum from other solitons. Thus, uniform and nonuniform arrays of nonlinear wave pulses offer an essential extension of the mechanical NC, in which the quasiparticles, unlike mechanical beads, interact inelastically, exchanging energy and generating radiation. Nevertheless, the characteristic phenomenology of NC chains may be clearly identified in these nonlinear-wave settings too.}}, author = {{Driben, R. and Malomed, B.A. and Yulin, A. V. and Skryabin, D.V.}}, journal = {{Physical Review A }}, number = {{6}}, title = {{{Newton's cradles in optics: From N-soliton fission to soliton chains}}}, doi = {{10.1103/PhysRevA.87.063808}}, volume = {{87}}, year = {{2013}}, } @article{43256, abstract = {{We considered the modulational instability of continuous-wave backgrounds, and the related generation and evolution of deterministic rogue waves in the recently introduced parity–time (P T)-symmetric system of linearly coupled nonlinear Schrödinger equations, which describes a Kerr-nonlinear optical coupler with mutually balanced gain and loss in its cores. Besides the linear coupling, the overlapping cores are coupled through the cross-phase-modulation term too. While the rogue waves, built according to the pattern of the Peregrine soliton, are (quite naturally) unstable, we demonstrate that the focusing cross-phase-modulation interaction results in their partial stabilization. For P T-symmetric and antisymmetric bright solitons, the stability region is found too, in an exact analytical form, and verified by means of direct simulations}}, author = {{Bludov, Y.V. and Driben, R. and Konotop, V.V. and Malomed, B.A.}}, journal = {{Journal of Optics}}, number = {{6}}, title = {{{Instabilities, solitons and rogue waves in PT-coupled nonlinear waveguides}}}, doi = {{10.1088/2040-8978/15/6/064010}}, volume = {{15}}, year = {{2013}}, } @article{43252, abstract = {{Optimization of the compression of input 𝑁 -solitons into robust ultra-narrow fundamental solitons, with a tunable up- or downshifted frequency, is proposed in photonic crystal fibers free of the Raman effect. Due to the absence of the Raman self-frequency shift, these fundamental solitons continue propagation, maintaining the acquired frequency, once separated from the input 𝑁 soliton’s temporal slot. A universal optimal value of the relative strength of the third-order dispersion is found, providing the strongest compression of the fundamental soliton is found. It depends only on the order of the injected 𝑁 -soliton. The largest compression degree significantly exceeds the analytical prediction supplied by the Satsuma–Yajima formula. The mechanism behind this effect, which remains valid in the presence of the self-steepening, is explained.}}, author = {{Driben, R. and Malomed, B.A.}}, journal = {{Optics Letters}}, number = {{18}}, pages = {{3623--3626}}, title = {{{Generation of tightly compressed solitons with a tunable frequency shift in Raman-free fibers}}}, doi = {{10.1364/OL.38.003623}}, volume = {{38}}, year = {{2013}}, } @article{43253, abstract = {{We demonstrate that the fission of higher-order N-solitons with a subsequent ejection of fundamental quasi-solitons creates cavities formed by a pair of solitary waves with dispersive light trapped between them. As a result of multiple reflections of the trapped light from the bounding solitons which act as mirrors, they bend their trajectories and collide. In the spectral domain, the two solitons receive blue and red wavelength shifts, and the spectrum of the trapped light alters as well. This phenomenon strongly affects spectral characteristics of the generated supercontinuum. Consideration of the system's parameters which affect the creation of the cavity reveals possibilities of predicting and controlling soliton-soliton collisions induced by multiple reflections of the trapped light.}}, author = {{Driben, R. and Yulin, A. V. and Efimov, A. and Malomed, B.A.}}, journal = {{Optics Express}}, number = {{16}}, pages = {{19091--19096}}, title = {{{Trapping of light in solitonic cavities and its role in the supercontinuum generation}}}, doi = {{10.1364/OE.21.019091}}, volume = {{21}}, year = {{2013}}, } @article{43255, abstract = {{By means of direct simulations and theoretical analysis, we study the nonlinear propagation of truncated Airy pulses in an optical fiber exhibiting both anomalous second-order and strong positive third-order dispersions (TOD). It is found that the Airy pulse first reaches a finite-size focal area as determined by the relative strength of the two dispersion terms, and then undergoes an inversion transformation such that it continues to travel with an opposite acceleration. The system notably features tight focusing if the TOD is a dominant factor. These effects are partially reduced by Kerr nonlinearity.}}, author = {{Driben, R. and Hu, Y. and Chen, Z. and Malomed, B.A. and Morandotti, R.}}, journal = {{Optics Letters}}, number = {{14}}, pages = {{2499--2501}}, title = {{{Inversion and tight focusing of Airy pulses under the action of third-order dispersion}}}, doi = {{10.1364/OL.38.002499}}, volume = {{38}}, year = {{2013}}, } @article{43258, abstract = {{We consider an effectively one-dimensional binary Bose-Einstein condensate (BEC) with nonlinear repulsive interactions and linear spin-orbit (SO) and Zeeman-splitting couplings. In the presence of the trapping harmonic-oscillator (HO) potential, we report the existence of even, odd, and asymmetric spatial modes. They feature alternating domains with opposite directions of the pseudospin, i.e., antiferromagnetic structures, which is explained by the interplay of the linear couplings, HO confinement, and repulsive self-interaction. The number of the domains is determined by the strength of the SO coupling. The modes are constructed analytically in the weakly nonlinear system. The dynamical stability of the modes is investigated by means of the Bogoliubov–de Gennes equations and direct simulations. A notable result is that the multi-domain-wall (DW) structures are stable, alternating between odd and even shapes, while the simplest single-DW structure is unstable. Thus, the system features a transition to the complex ground states under the action of the SO coupling. The addition of the Zeeman splitting transforms the odd modes into asymmetric ones via spontaneous symmetry breaking. The results suggest possibilities for switching the binary system between states with opposite (pseudo)magnetization by external fields, and realization of similar stable states and dynamical effects in solid-state and nonlinear-optical settings emulated by the SO-coupled BECs.}}, author = {{Zezyulin, D.A. and Driben, R. and Konotop, V.V. and Malomed, B.A.}}, journal = {{Physical Review A }}, number = {{1}}, title = {{{Nonlinear modes in binary bosonic condensates with pseudo–spin-orbital coupling}}}, doi = {{10.1103/PhysRevA.88.013607}}, volume = {{88}}, year = {{2013}}, } @article{43257, abstract = {{We demonstrate that trapping of dispersive waves between two optical solitons takes place when resonant scattering of the waves on the solitons leads to nearly perfect reflections. The momentum transfer from the radiation to solitons results in their mutual attraction and a subsequent collision. The spectrum of the trapped radiation can either expand or shrink in the course of the propagation, which is controlled by arranging either collision or separation of the solitons.}}, author = {{Yulin, A. V. and Driben, R. and Malomed, B.A. and Skryabin, D.V.}}, journal = {{Optics Express}}, number = {{12}}, title = {{{Soliton interaction mediated by cascaded four wave mixing with dispersive waves}}}, doi = {{10.1364/OE.21.014481}}, volume = {{21}}, year = {{2013}}, } @inproceedings{4039, abstract = {{We perform experiments on resonant second-harmonic generation from planar gold split-ring-resonator arrays under normal incidence of light as a function of the lattice constant. Optimum nonlinear conversion occurs at intermediate lattice constants.}}, author = {{Niesler, Fabian B. and Linden, Stefan and Förstner, Jens and Grynko, Yevgen and Meier, Torsten and Wegener, Martin}}, booktitle = {{Conference on Lasers and Electro-Optics 2012}}, isbn = {{9781557529435}}, keywords = {{tet_topic_shg, tet_topic_meta}}, location = {{San Jose, California United States}}, number = {{1}}, publisher = {{OSA}}, title = {{{Collective effects in second-harmonic generation from split-ring-resonator arrays}}}, doi = {{10.1364/qels.2012.qth3e.2}}, volume = {{109}}, year = {{2013}}, } @inproceedings{3961, abstract = {{Previous experimental measurements and numerical simulations give evidence of strong electric and magnetic field interaction between split-ring resonators in dense arrays. One can expect that such interactions have an influence on the second harmonic generation. We apply the Discontinuous Galerkin Time Domain method and the hydrodynamic Maxwell-Vlasov model to simulate the linear and nonlinear optical response from SRR arrays. The simulations show that dense placement of the constituent building blocks appears not always optimal and collective effects can lead to a significant suppression of the near fields at the fundamental frequency and, consequently, to the decrease of the SHG intensity. We demonstrate also the great role of the symmetry degree of the array layout which results in the variation of the SHG efficiency in range of two orders of magnitude.}}, author = {{Grynko, Yevgen and Meier, Torsten and Linden, Stefan and Niesler, Fabian B. P. and Wegener, Martin and Förstner, Jens}}, booktitle = {{Ultrafast Phenomena and Nanophotonics XVII}}, editor = {{Betz, Markus and Elezzabi, Abdulhakem Y. and Song, Jin-Joo and Tsen, Kong-Thon}}, keywords = {{tet_topic_shg, tet_topic_meta}}, pages = {{86230L--86230L--9}}, publisher = {{SPIE}}, title = {{{Optimal second-harmonic generation in split-ring resonator arrays}}}, doi = {{10.1117/12.2003279}}, volume = {{8623}}, year = {{2013}}, }