[{"type":"speech","title":"Nicht-resonante Wechselwirkungen in nichtlinearen Photonischen Kristallen","issued":{"date-parts":[["2006"]]},"author":[{"family":"Hagmann","given":"J. G."},{"family":"Tkeshelashvili","given":"L."},{"family":"Busch","given":"K."}],"note":"Fr\u00fchjahrstagung des Arbeitskreises Atome, Molek\u00fcle, Quantenoptik und Plasmen (AMOP) der DPG, Frankfurt, 13.-17.M\u00e4rz 2006 Verhandlungen der Deutschen Physikalischen Gesellschaft, R.6, B.41(2006) Q 59.1","abstract":"\u00a8\nQ 59.1 Do 11:10 HI\nQ 59.2 Do 11:25 HI\nEvolution of pulses in Kerr-nonlinear photonic crystals \u2014\n\u2022Sabine Essig1 , Lasha Tkeshelashvili2,3 , and Kurt Busch1,2,3\n\u2014 1 Institut f\u00a8r Theoretische Festk\u00a8rperphysik, Universit\u00a8t Karlsruhe\nFunctional Nanostructures (CFN), Universit\u00a8t Karlsruhe\nOne-dimensional photonic crystals with Kerr-nonlinear constituent\nmaterials can become transparent for su\ufb03cient intense pulses with carrier frequencies in the band gap. In the stationary region, these pulses\nwere numerically discovered by Chen and Mills and are known as gap\nsolitons [1].\nWe investigate the formation of gap solitons in nonlinear photonic crystals from given initial pulses. The evolution of such pulses are described\nby the nonlinear coupled mode equations [2], which are non-integrable. In\norder to obtain insight into the behaviour of pulses in these systems, we\nextend the variational approach of Anderson for the (integrable) nonlinear Schr\u00a8dinger equation [3] to the nonlinear coupled mode equations. We\ncompare analytical results with numerical studies of the pulse evolution.\n[1] W. Chen and D.L. Mills, Phys.Rev.Lett. 58, 160 (1987)\n[2] C.M. de Sterke and J.E. Sipe, in Progress in Optics, vol. XXXIII,\np.203, edited by E. Wolf, Elsevier Sience, Amsterdam (1994)\n[3] D. Anderson, Phys.Rev.Lett. 27, 3135 (1983)\nQ 59.3 Do 11:40 HI\nDramatic enhancement of nonlinear optical frequency\nconversion e\ufb03ciency in one-dimensional photonic crystals\nKarlsruhe \u2014 2 Institut f\u00a8r Angewandte Physik, Universit\u00a8t Karlsruhe,\nPhotonic crystals posses optical properties not present in any naturally occuring material. For nonlinear frequency conversion it is essential\nto have perfect phase matching between pumping and generated beams.\nIn bulk material with normal dispersion the \u03c7(3) -frequency conversion\nprocess \u03c9signal = 2\u03c9pump \u2212 \u03c9seed usually doesn\u2019t ful\ufb01ll phase matching\ncondition in collinear propagation geometry and thus stays very ine\ufb03cient. In photonic crystals, however, phase matching can be achieved due\nto the anomalous dispersion near the photonic stop gap without being\naccompanied by strong absorption.\nWe present nonlinear FDTD-simulations using the Bloch equations\nwith two ultrashort optical pulses of frequencies \u03c9pump and \u03c9seed ,\ncollinearly propagating through a 80 period dielectric stack. The parameters are chosen to match real experimental conditions. Tuning the strong\n\u03c9pump -pulse to the low-energy side of the photonic stop gap reveals perfect phase matching. This results in a great enhancement of the generated\n\u03c9signal beam, over that of a bulk reference sample, by two orders of magnitude.\nRaum: HI\nQ 59.4 Do 11:55 HI\nPhotonic crystal waveguides in the IOSOI-material-system \u2014\nCecile Jamois3 , and Ralf B. Wehrspohn1 \u2014 1 Universit\u00a8t Padera\nborn, Dept. Physik, D-33095 Paderborn \u2014 2 Max-Planck-Institut f\u00a8r\nMikrostrukturphysik, Weinberg 2, D-06120 Halle \u2014 3 Advanced Technology Institute, University of Surrey, Guildford, Surrey, GU2 7XH, UK\nOptical waveguides are a basic elements of any kind of photonic devices. One of the major advantages of the IOSOI system is its compatibility with standard Si processes, allowing for the simultaneous integration\nof photonic and electronic devices on the same chip. The IOSOI-material\nsystem consists of a symmetrical slab-structure made of a thin silicon\nlayer embedded in between two silica layers.\nPhotonic crystal waveguides are realized by RIE\/ICP-etching of\nIOSOI. For a W1 waveguide, guided modes lying below the lightline\nexist. As a consequence, in theory nearly lossless propagation of light in\nthe form of Blochmodes is possible.\nFirst transmission measurements at 1.55 um on conventional ridge\nwaveguides as well as corresponding PhC waveguides sucessfully realized in the IOSOI material system show very low losses. Furthermore,\n\ufb01rst broadband measurements were performed on the PhC waveguides\nand show PhC properties, such as a stopgap and a bandedge.\nQ 59.5 Do 12:10 HI\nFEM Investigation of Light Propagation in Hollow Core Photonic Crystal Fibers \u2014 \u2022Jan Pomplun1 , Sven Burger1 , Ronald\nHolzl\u00a8 hner2 , Roland Klose1 , Lin Zschiedrich1 , and Frank\nHollow core holey \ufb01bers are promising candidates for low-loss guidance\nof light in various applications, e.g., for the use in laser guide star adaptive optics systems in optical astronomy. We present an accurate and fast\nmethod for the computation of light modes in arbitrarily shaped waveguides. Maxwell\u2019s equations are discretized using vectorial \ufb01nite elements\n(FEM). We discuss how we utilize concepts like adaptive grid re\ufb01nement\nand higher order \ufb01nite elements, and we investigate the convergence behavior of our methods. Further, appropriate transparent boundary conditions for the computation of leaky modes in photonic crystal \ufb01bers will\nbe discussed.\nQ 59.6 Do 12:25 HI\nSupercontinuum generation in planar rib waveguides \u2014 \u2022Anton\nHusakou1 , Olga Fedotova2 , and Joachim Herrmann1 \u2014 1 Max\nBorn Institute, Max Born Str. 2a, 12489 Berlin, Germany \u2014 2 Institute\nof Solid State and Semiconductor Physics, Brovki str. 17, 220072 Minsk,\nBelarus\nMany applications in research and engineering require sources of coherent broadband radiation, so-called supercontinuum (SC). Here we study\nthe perspectives for generating supercontinuum spectra in planar rib\nwaveguide structures, which can enable simple SC source in the framework of integrated optics. We calculate the dispersion of the rib waveguide\nby the e\ufb00ective refractive index method. The propagation of the pulse\nin the rib waveguide is described numerically using \ufb01rst-order forward\nMaxwell equation without slowly-varying-envelope approximation and\naccounting for dispersion to all orders. In microstructure \ufb01bers, the supercontinuum generation in the anomalous dispersion range is connected\nwith the splitting of the input pulse into several fundamental solitons,\nwhich emit phase-matched non-solitonic radiation. We show that this\nmechanism of SC generation is also e\ufb00ective in rib waveguides, because\nwaveguide contribution to dispersion yields a broad range of anomalous\ndispersion. Due to the presence of two zero-dispersion wavelengths, nonsolitonic radiation is emitted at both","kit-publication-id":"230063846"}]