[{"type":"speech","title":"Nonlinear time-domain simulations with exponential integrators using Krylov-subspace methods","issued":{"date-parts":[["2006"]]},"author":[{"family":"Pototschnig","given":"M."},{"family":"Niegemann","given":"J."},{"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 35.8","abstract":"In hybrid systems which consist of semiconductor nanostructures and\ndielectric photonic crystals signi\ufb01cant aspects of the light-matter interaction can be tailored. Such structures are described by a microscopic\ntheory which provides a self-consistent solution of the dynamics of the\nelectromagnetic \ufb01eld and the material excitations. The theory is applied\nto investigate spatial inhomogeneneities of the optical properties, in particular, excitonic resonances, wave packet dynamics, and the optical gain\nare analyzed [1,2]. Additionally, the optical properties of quantum wells\nembedded in one-dimensional photonic crystals are investigated. If such\nstructures are placed inside a microcavity, the gain increases superlinearly\nwith the number of wells [3].\nPhys. Rev. B 71, 035346 (2005).\nPhys. Rev. B 71, 195321 (2005).\nZakharian, and J.V. Moloney, J. Opt. Soc. Am. B 22, 2039 (2005).\nQ 35.8 Di 16:30 Labsaal\nNonlinear time-domain simulations with exponential integrators using Krylov-subspace methods \u2014 \u2022Martin Pototschnig1 ,\nJens Niegemann1,2 , Lasha Tkeshelashvili3,2 , and Kurt Busch1,3,2\n\u2014 1 Institut f\u00a8r Theoretische Festk\u00a8rperphysik, Universit\u00a8t Karlsruhe \u2014\n2\nIn recent years, nonlinear optical systems have attracted broad interest. We propose to use exponential-integrators combined with Krylovsubspace methods to solve the corresponding nonlinear time-dependent\nMaxwell equations as well as coupled optical quantum-mechanical systems, such as the Maxwell-Bloch equations. These techniques are known\nto be well suited for highly oscillatory and sti\ufb00 problems and, therefore,\nwe expect fast and accurate simulations. We will present comparisons\nof the performance and accuracy of our approach relative to commonly\nused methods, in particular to nonlinear Finite-Di\ufb00erence Time-Domain\ntechniques. In addition, we demonstrate that the method is capable of\ndescribing the Non-Markovian radiation dynamics of emitters in \ufb01nite\nPhotonic Crystals.\nQ 35.9 Di 16:30 Labsaal\nNumerical Investigation of Magnetic Metamaterials \u2014 \u2022Sven\nBurger, Benjamin Kettner, Lin Zschiedrich, and Frank\nArrays of miniaturized split ring resonators allow to realize systems\nwith a negative e\ufb00ective permeability in the near infrared regime [1,2].\nWe discuss the use of adaptive, higher-order, vectorial \ufb01nite elements for\nthe numerical simulation of the time-harmonic light \ufb01eld in the elementary cell of the periodic array [3]. These methods allow us to investigate\nresonances of the system.\nSchmidt, J. Zhou, T. Koschny, C. M. Soukoulis, Phys. Rev. Lett. 95,\n203901 (2005).\nEnkrich, S. Linden, M. Wegener, and C. M. Soukoulis, Proc. SPIE 5955,\n18 (2005).\nQ 35.10 Di 16:30 Labsaal\nPhase-resolved pulse propagation in metallic photonic\ncrystal slabs \u2014 \u2022Anja Sch\u00a8 nhardt1 , Dietmar Nau1 , Hedi\nGr\u00a8beldinger2 , Christina Bauer3 , and Harald Giessen2 \u2014\n1\nInstitut f\u00a8r Angewandte Physik, Universit\u00a8t Bonn, 53115 Bonn \u2014\n2\n4. Physikalisches Institut, Universit\u00a8t Stuttgart, 70550 Stuttgart \u2014\n3\nWe present measurements of the electromagnetic \ufb01eld of ultra-short\nlaser pulses after propagation through metallic photonic crystal structures featuring simultaneous photonic and plasmonic resonances. We\nused cross-correlation frequency resolved optical gating to measure the\ncomplete pulse information, i.e., the envelope and phase of the electromagnetic \ufb01eld. In good agreement, measurements and scattering matrix\nsimulations [1] show a dispersive behavior of the spectral phase at the\nposition of the resonances. Asymmetric Fano-type resonances go along\nwith asymmetric phase characteristics. Furthermore, the spectral phase\nis used to calculate the dispersion of the sample. Possible application in\ndispersion compensation is investigated. The behavior of the extinction\nand the spectral phase can be understood from a fundamental model\nusing the complex transmission amplitude [2,3]. An associated depiction\nin the complex plane is a new approach in this context [3]. This method\npromises to be of valuable use also in photonic crystal and \ufb01lter design,\nfor example with regards to symmetrization of the resonances.\n[1] S. Tikhodeev et al., Phys. Rev. B 66, 045102 (2002).\n[2] S. Fan et al., Phys. Rev. B 65, 235112 (2002).\n[3] A. Sch\u00a8nhardt et al., PRB, to be published.\nQ 35.11 Di 16:30 Labsaal\nPlasmonic metal-semiconductor-metal photodetectors \u2014\nUniversit\u00a8t Karlsruhe, Kaiserstr. 12, 76131 Karlsruhe, Germany \u2014 2 I.\n3\nA .M. Prokhorov General Physics Institute RAS,Vavilova 38, Moscow\n119991, Russia\nWe have investigated the interplay of plasmonic \ufb01eld enhancement and\nsemiconductor absorption in planar metallic photonic crystals consisting\nof periodically patterned gold and silver deposited on GaAs\/GaInNAs\nheterostructures. Our goal is to exploit the resulting resonance e\ufb00ects\nto fabricate a novel class of fast metal-semiconductor-metal (MSM) photodetectors. We have established a new technique for the fabrication of\nmetallic electrodes with dimensions below 100 nm, which are expected\nto perform two tasks: First, surface plasmon polaritons improve the\nlight transmission through the metal layer, and the local \ufb01eld enhancement associated with these excitations increases the optical absorption\nin the semiconductor. Second, optically generated electrons and holes are\nrapidly extracted into the metallic electrodes like in conventional MSM\nphotodetectors. We present theoretical calculations based on the scattering matrix approach and compare the results with experimental spectral\nand dynamical properties. The resulting ultimate limits of quantum e\ufb03ciency and bandwidth depending on the absorption properties, RC-times\nand carrier transit times will be discussed.\nQ 35.12 Di 16:30 Labsaal\nProperties of Low Refractive Index Supports Made of Mesoporous Silica \u2014 \u2022Denan Konjhodzic, Helmut Bretinger, and\nMesoporous silica thin \ufb01lms were synthesized by dip-coating in\nevaporation-induced self-assembly process. In this modi\ufb01ed sol-gel\nprocess a nonionic triblock copolymer has been used as a template.\nThe formed structure depends strongly on the processing conditions,\nespecially humidity. Film thickness can be tuned by drawing rate. The\nstructures of two di\ufb00erent types of \ufb01lms were investigated by small\nangle x-ray scattering, transmission electron microscopy and atomic\nforce microscopy [1]. Low humidity allows reproducible synthesis of low\nrefractive index \ufb01lms, which were used as optical waveguide supports.\nHere we investigate the in\ufb02uence of processing parameters on their optical properties. Refractive index, birefringence and \ufb01lm thickness were\ndetermined by angular-dependent interferometry. Porosity can be determined from refractive index applying di\ufb00erent e\ufb00ective media models.\nThe \ufb01lm scattering was characterized in the visible spectral range.\nIn another sol-gel process very transparent PZT \ufb01lms were synthesized and deposited onto mesoporous \ufb01lms. The compatibility of these\n\ufb01lms with mesoporous supports is investigated.\n[1] D. Konjhodzic, H. Bretinger, U. Wilczok, A. D","kit-publication-id":"230063845"}]