@inproceedings{3939,
  abstract     = {{Optical and infrared antennas provide a promising way to couple photons in and out of nanoscale structures. As
counterpart to conventional radio antennas, they are able to increase optical felds in sub-wavelength volumes,
to enhance excitation and emission of quantum emitters or to direct light, radiated by quantum emitters. The
directed emission of these antennas has been mainly pursued by surface plasmon based devices, e.g. Yagi-Uda
like antennas, which are rather complicated due to the coupling of several metallic particles. Also, like all metallic
structures in optical or infrared regime, these devices are very sensitive to fabrication tolerances and are affected
by strong losses. It has been shown recently, that such directed emission can be accomplished by dielectric
materials as well.
In this paper we present an optimization of nanoscopic antennas in the near infrared regime starting from a
metallic Yagi-Uda structure. The optimization is done via a particle-swarm algorithm, using full time domain
finite integration simulations to obtain the characteristics of the investigated structure, also taking into account
substrates. Furthermore we present a dielectric antenna, which performs even better, due to the lack of losses
by an appropriate choice of the dielectric material. These antennas are robust concerning fabrication tolerances
and can be realized with different materials for both the antenna and the substrate, without using high index
materials.}},
  author       = {{Hildebrandt, Andre and Reichelt, Matthias and Meier, Torsten and Förstner, Jens}},
  booktitle    = {{Ultrafast Phenomena and Nanophotonics XVIII}},
  editor       = {{Betz, Markus and Elezzabi, Abdulhakem Y. and Song, Jin-Joo and Tsen, Kong-Thon}},
  keywords     = {{tet_topic_opticalantenna}},
  pages        = {{89841G--8941G--6}},
  publisher    = {{SPIE}},
  title        = {{{Engineering plasmonic and dielectric directional nanoantennas}}},
  doi          = {{10.1117/12.2036588}},
  volume       = {{8984}},
  year         = {{2014}},
}

@article{22958,
  abstract     = {{Dispersion management of periodically alternating fiber sections with opposite signs of two leading dispersion terms is applied for the regeneration of self-accelerating truncated Airy pulses. It is demonstrated that for such a dispersion management scheme, the direction of the acceleration of the pulse is reversed twice within each period. In this scheme the system features light hot spots in the center of each fiber section, where the energy of the light pulse is tightly focused in a short temporal slot. Comprehensive numerical studies demonstrate a long-lasting propagation also under the influence of a strong fiber Kerr nonlinearity.}},
  author       = {{Driben, R. and Meier, Torsten}},
  issn         = {{1050-2947}},
  journal      = {{Physical Review A}},
  number       = {{4}},
  title        = {{{Regeneration of Airy pulses in fiber-optic links with dispersion management of the two leading dispersion terms of opposite signs}}},
  doi          = {{10.1103/physreva.89.043817}},
  volume       = {{89}},
  year         = {{2014}},
}

@article{15864,
  abstract     = {{Starting from the extended Su-Schrieffer-Heeger model, multiband semiconductor Bloch equations are formulated in momentum space and applied to the analysis of the linear optical response of semiconducting carbon nanotubes (SCNTs). This formalism includes the coupling of electron-hole pair excitations between different valence and conduction bands, originating from the electron-hole Coulomb attraction. The influence of these couplings, which are referred to as nondiagonal interband Coulomb interaction (NDI-CI), on the linear excitonic absorption spectra is investigated and discussed for light fields polarized parallel to the tube direction. The results show that the intervalley NDI-CI leads to a significant increase of the band gap and a decrease of the exciton binding energy that results in a blueshift of the lowest-frequency excitonic absorption peak. The strength of these effects depends on the symmetry of the SCNT. Furthermore, for zigzag SCNTs with higher symmetry other nonintervalley NDI-CI terms also affect the spectral positions of excitonic absorption peaks.}},
  author       = {{Liu, Hong and Schumacher, Stefan and Meier, Torsten}},
  issn         = {{1098-0121}},
  journal      = {{Physical Review B}},
  number       = {{15}},
  title        = {{{Influence of Coulomb-induced band couplings on linear excitonic absorption spectra of semiconducting carbon nanotubes}}},
  doi          = {{10.1103/physrevb.89.155407}},
  volume       = {{89}},
  year         = {{2014}},
}

@article{43198,
  abstract     = {{Ultrafast charge transport in strongly biased semiconductors is at the heart of high-speed electronics, electro-optics and fundamental solid-state physics1,2,3,4,5,6,7,8,9,10,11,12,13. Intense light pulses in the terahertz spectral range have opened fascinating vistas14,15,16,17,18,19,20,21. Because terahertz photon energies are far below typical electronic interband resonances, a stable electromagnetic waveform may serve as a precisely adjustable bias5,11,17,19. Novel quantum phenomena have been anticipated for terahertz amplitudes, reaching atomic field strengths8,9,10. We exploit controlled (multi-)terahertz waveforms with peak fields of 72 MV cm−1 to drive coherent interband polarization combined with dynamical Bloch oscillations in semiconducting gallium selenide. These dynamics entail the emission of phase-stable high-harmonic transients, covering the entire terahertz-to-visible spectral domain between 0.1 and 675 THz. Quantum interference of different ionization paths of accelerated charge carriers is controlled via the waveform of the driving field and explained by a quantum theory of inter- and intraband dynamics. Our results pave the way towards all-coherent terahertz-rate electronics.}},
  author       = {{Meier, Torsten and Schubert, O. and Hohenleutner, M. and Langer, F. and Urbanek, B. and Lange, C. and Huttner, U. and Golde, D. and Kira, M. and Koch, S. W. and Huber, R.}},
  journal      = {{Nature Photonics}},
  number       = {{2}},
  publisher    = {{Nature Publishing Group}},
  title        = {{{Sub-cycle control of terahertz high-harmonic generation by dynamical Bloch oscillations}}},
  doi          = {{10.1038/nphoton.2013.349}},
  volume       = {{8}},
  year         = {{2014}},
}

@article{43251,
  abstract     = {{The nonadiabatic dynamics of a many-body system driven through a quantum critical point can be controlled using counterdiabatic driving, where the formation of excitations is suppressed by assisting the dynamics with auxiliary multiple-body nonlocal interactions. We propose an alternative scheme which circumvents practical challenges to realize shortcuts to adiabaticity in mesoscopic systems by tailoring the functional form of the auxiliary counterdiabatic interactions. A driving scheme resorting in short-range few-body interactions is shown to generate an effectively adiabatic dynamics.}},
  author       = {{Saberi, H. and Opatrný, T. and Mølmer, K. and del Campo,, A.}},
  journal      = {{Physical Review A}},
  number       = {{6}},
  title        = {{{Adiabatic tracking of quantum many-body dynamics}}},
  doi          = {{10.1103/PhysRevA.90.060301}},
  volume       = {{90}},
  year         = {{2014}},
}

@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}},
}

@article{15871,
  abstract     = {{We derive a transparent and easy-to-use analytic expression for the selection rules and the optical dipole matrix elements for carbon nanotubes of arbitrary chirality in the presence of axial magnetic fields using a single-orbital π-electron tight-binding model. From this, we calculate the linear absorption spectrum for arbitrary polarization directions of the incident light, providing insight into all optically allowed transition. We show that the transverse absorption peaks can be selectively excited with circularly polarized light and spectrally resolved in an axial magnetic field.}},
  author       = {{Liu, Hong and Schumacher, Stefan and Meier, Torsten}},
  issn         = {{1098-0121}},
  journal      = {{Physical Review B}},
  number       = {{3}},
  title        = {{{Selection rules and linear absorption spectra of carbon nanotubes in axial magnetic fields}}},
  doi          = {{10.1103/physrevb.88.035429}},
  volume       = {{88}},
  year         = {{2013}},
}

@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}},
}

@inproceedings{3980,
  abstract     = {{Paper Abstract
High harmonic generation is investigated for a two-band model of a semiconductor nanostructure. Similar to an atomic two-level system, the semiconductor emits high harmonic radiation. We show how one can specifically enhance the emission for a given frequency by applying a non-trivially shaped laser pulse. Therefore, the semiconductor Bloch equations including the interband and additionally the intraband dynamics are solved numerically and the spectral shape of the input pulse is computed via an optimization algorithm. It is demonstrated that desired emission frequencies can be favored even though the overall input power is kept constant. We also suggest special metallic nano geometries to achieve enhanced localized optical fields. They are found by geometric optimization.}},
  author       = {{Reichelt, Matthias and Hildebrandt, Andre and Walther, Andrea and Förstner, Jens and Meier, Torsten}},
  booktitle    = {{Ultrafast Phenomena and Nanophotonics XVI}},
  isbn         = {{9780819489036 }},
  keywords     = {{tet_topic_shg}},
  publisher    = {{SPIE}},
  title        = {{{Engineering high harmonic generation in semiconductors via pulse shaping}}},
  doi          = {{10.1117/12.906338}},
  volume       = {{8260}},
  year         = {{2012}},
}

@article{22953,
  abstract     = {{The generation of specific high harmonics for an optical two-level system is elucidated. The desired emitted radiation can be induced by a carefully designed excitation pulse, which is found by a multiparameter optimization procedure. The presented mechanism can also be applied to semiconductor structures for which the calculations result in much higher emission frequencies. The optimization procedure is either performed using a genetic algorithm or a rigorous mathematical optimization technique.}},
  author       = {{Reichelt, Matthias and Walther, Andrea and Meier, Torsten}},
  issn         = {{0740-3224}},
  journal      = {{Journal of the Optical Society of America B}},
  number       = {{2}},
  title        = {{{Tailoring the high-harmonic emission in two-level systems and semiconductors by pulse shaping}}},
  doi          = {{10.1364/josab.29.000a36}},
  volume       = {{29}},
  year         = {{2012}},
}

@article{3972,
  abstract     = {{Using a finite-difference time-domain method, we theoretically investigate the optical spectra of crossing perpendicular photonic crystal waveguides with quantum dots embedded in the central rod. The waveguides are designed so that the light mainly propagates along one direction and the cross talk is greatly reduced in the transverse direction. It is shown that when a quantum dot (QD) is resonant with the cavity, strong coupling can be observed via both the transmission and crosstalk spectrum. If the cavity is far off-resonant from the QD, both the cavity mode and the QD signal can be detected in the transverse direction since the laser field is greatly suppressed in this direction. This structure could have strong implications for resonant excitation and in-plane detection of QD optical spectroscopy.}},
  author       = {{Song, Xiaohong and Declair, Stefan and Meier, Torsten and Zrenner, Artur and Förstner, Jens}},
  issn         = {{1094-4087}},
  journal      = {{Optics Express}},
  keywords     = {{tet_topic_phc, tet_topic_qd}},
  number       = {{13}},
  pages        = {{14130--14136}},
  publisher    = {{The Optical Society}},
  title        = {{{Photonic crystal waveguides intersection for resonant quantum dot optical spectroscopy detection}}},
  doi          = {{10.1364/oe.20.014130}},
  volume       = {{20}},
  year         = {{2012}},
}

@inproceedings{3967,
  abstract     = {{We simulate the linear and nonlinear optical response from split-ring resonator (SRR) arrays to study collective effects between the constituent SRRs that determine spectral properties of the second harmonic generation (SHG). We apply the Discontinuous Galerkin Time Domain (DGTD) method and the hydrodynamic Maxwell-Vlasov model to calculate the SHG emission. Our model is able to qualitatively reproduce and explain the non-monotonic dependence of the spectral SHG transmission measured experimentally for SRR arrays with different lattice constants}},
  author       = {{Grynko, Yevgen and Meier, Torsten and Linden, Stefan and Niesler, Fabian B. P. and Wegener, Martin and Förstner, Jens}},
  keywords     = {{tet_topic_meta, tet_topic_shg}},
  location     = {{Bad Honnef}},
  number       = {{1}},
  pages        = {{128--130}},
  publisher    = {{AIP Conference Proceedings}},
  title        = {{{Near-field coupling and second-harmonic generation in split-ring resonator arrays}}},
  doi          = {{10.1063/1.4750118}},
  volume       = {{1475}},
  year         = {{2012}},
}

