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The numerical solution of frequency-domain acoustic and electromagnetic periodic scattering problems

Liu, Yuxiang

"The control of waves using periodic structures is crucial for modern optical, electromagnetic and acoustic devices such as diffraction gratings, filters, photonic crystals, solar cells, sensors, and absorbers. We present a high-order accurate boundarybased numerical solver for three-dimensional (3D) frequency-domain scattering from a doubly-periodic grating of obstacles. We focus on the case of axisymmetric objects, and handle both acoustic and electromagnetic cases. We combine the method of fundamental solutions (MFS) with a new periodizing scheme, using various fast algorithms such as the fast multiple method and the so-called \skeletonization". Our scheme has exponential convergence for analytic shapes and avoids singular quadratures, periodic Green's functions, and lattice sums. Furthermore, the convergence rate of our scheme is unaffected by resonances within obstacles. The periodizing scheme is also independent of the complexity of the objects and the frequency can reach 13[lambda] x 13[lambda] x 13[lambda] in each periodic unit, which covers the vast majority of scattering problems in practice; meanwhile, the solver can achieve 10 digits of accuracy, takes less than 1 hour of computational time, and requires less than 6GB of RAM space. We also propose a way to efficiently solve scattering problems on boundaries with corners using the MFS to achieve 10 digits of accuracy for a range of corner angles. Also, we can observe exponential convergence as the number of unknowns increases for corner problems. Lastly, we develop and test the use of a recently-developed fast direct solver for least squares problems to solve high frequency scattering problems on general (non-axisymmetric) smooth objects using the MFS."

Rauner D.C. Hist Thesis QC45.N43 D3 2016liu

Sounding-rocket studies of Langmuir-wave microphysics in the auroral ionosphere

Dombrowski, Micah P

"Since their discovery in laboratory plasmas in the 1920s, Langmuir waves have been observed to be ubiquitous in plasma environments, particularly in space plasmas. From the greater solar wind to planetary foreshocks and the auroral ionosphere, Langmuir waves are a key factor mediating electron temperature, and controlling electron beam propagation and beam-plasma energy transfer. Because they are so important, Langmuir waves in the space environment have been intensively investigated; however, there remain two challenging types of experiments that are relatively lacking: three-dimensional measurements of Langmuir-wave fields, and measurements of Langmuir wave-electron correlations. This thesis works on filling these two gaps, plus development of new Langmuir-wave instrumentation. The CHARM-II wave-particle Correlator instrument was designed to study the energy transfer between electron beams and plasmas via the sorting of incoming particles by concurrent Langmuir-wave phase, allowing for direct observation of electron bunching. Data from the CHARM-II sounding rocket comprises the first such observations with statistical levels of events, revealing an association between the polarity of the resistive component of the electron phase-bunching and changes in the electron flux at the associated energy, such that a negative resistive component goes with an increase in electron flux, and vice versa, effectively showing energy flow from the beam to the waves, and subsequent enhancements of wave damping. Surprisingly, the results also show comparable amounts of resistive and reactive activity. A test-particle simulation was developed to confirm the details of the theoretical explanation for the observed effect. A three-dimensional Langmuir-wave receiver flown on the TRICE sounding rocket mission reveals the beat signature of the amplitude-modulated ‘bursty’ form of Langmuir waves which has been observed in many environments. An analysis of the threedimensional data shows agreement with expected signatures of beating between pure, field-aligned, linearly polarized Langmuir waves and obliquely propagating, elliptically polarized, hybrid whistler-Langmuir waves. Finally, an autonomous digital signal processor/receiver has been refined and augmented to achieve high time- and frequency-resolution radio observations, synchronized sampling between multiple receivers, and on-board processing of data. This system was deployed on the CHARM-II rocket, resulting in measurements of the polarization of fine structures in auroral roar emissions."

Rauner D.C. Hist Thesis QC45.N43 D3 2016dom

Goethe's "exposure of Newton's theory" : a polemic on Newton's theory of light and colour

Goethe, Johann Wolfgang von, 1749-1832

London : Imperial College Press, [2016]

Baker Berry QC495 .G48413 2016

The spectrum of hyperbolic surfaces

Bergeron, Nicolas

Cham : Springer, 2016

1. Introduction -- 2. Arithmetic Hyperbolic Surfaces -- 3. Spectral Decomposition -- 4. Maass Forms -- 5. The Trace Formula -- 6. Multiplicity of lambda1 and the Selberg Conjecture -- 7. L-Functions and the Selberg Conjecture -- 8. Jacquet-Langlands Correspondence -- 9. Arithmetic Quantum Unique Ergodicity -- Appendices.

Baker Berry Cook QC20.7.S64 B4713 2016

Global physical climatology

Hartmann, Dennis L

Amsterdam : Elsevier, [2016]

Kresge QC981 .H32 2016

Stochastic dynamics and irreversibility

Tomé, Tânia

Cham : Springer, 2015

Random Variables -- Sequence of Independent Variables -- Langevin equation -- Fokker-Planck Equation I -- Fokker-Planck Equation II -- Markov Chains -- Master Equation I -- Master Equation II -- Phase Transitions and Criticality -- Reactive Systems -- Glauber Model -- Systems with Inversion Symmetry -- Systems with Absorbing States -- Population Dynamics -- Probabilistic Cellular automata -- Reaction-Diffusion Processes -- Random Sequential Adsoprtion -- Percolation.

This textbook presents an exposition of stochastic dynamics and irreversibility. It comprises the principles of probability theory and the stochastic dynamics in continuous spaces, described by Langevin and Fokker-Planck equations, and in discrete spaces, described by Markov chains and master equations. Special concern is given to the study of irreversibility, both in systems that evolve to equilibrium and in nonequilibrium stationary states. Attention is also given to the study of models displaying phase transitions and critical phenomema both in thermodynamic equilibrium and out of equilibrium. These models include the linear Glauber model, the Glauber-Ising model, lattice models with absorbing states such as the contact process and those used in population dynamic and spreading of epidemic, probabilistic cellular automata, reaction-diffusion processes, random sequential adsorption and dynamic percolation. A stochastic approach to chemical reaction is also presented. The textbook is intended for students of physics and chemistry and for those interested in stochastic dynamics. It provides, by means of examples and problems, a comprehensive and detailed explanation of the theory and its applications. -- Back cover.

Kresge QC20.7.S8 T66 2015

Far- and deep-ultraviolet spectroscopy

Yukihiro Ozaki, Satoshi Kawata, editors

Tokyo : Springer, [2015]

Introduction to FUV and DUV spectroscopy / Yukihiro Ozaki, Yuika Saito, and Satoshi Kawata -- Instrumentation for FUV spectroscopy / Akifumi Ikehata, Yusuke Morisawa, and Noboru Higashi -- Electronic structure and transition in the far-ultraviolet region / Yusuke Morisawa and Nasahiro Ehara -- Water research by far-ultraviolet spectroscopy / Takeyoshi Goto and Akifumi Ikehata -- Far-ultraviolet spectroscopy and deep-ultraviolet spectroscopy: industrial applications / Noboru Higashi -- Electronic structure of TiO2 studied by far-ultraviolet and deep-ultraviolet spectroscopy / Ichiro Tanabe -- Deep-ultraviolet microscopy and microspectroscopy / Yasuaki Kumamoto -- Deep-ultraviolet surface-enhanced raman scattering / Atsushi Taguchi -- Coupling of deep-ultraviolet photons and electrons / Yuika Saito.

Kresge QC459 .F37 2015

Consecuencias del cambio climático sobre la migración : un análisis para México

Ana María Aragonés, coordinadora

México, D.F. : Universidad Nacional Autónoma de México, 2015

Baker Berry QC903.2.M6 C66 2015

Fifty years of mathematical physics : selected works of Ludvig Faddeev

Faddeev, L. D

New Jersey : World Scientific, [2016]

Kresge QC19.6 .F3113 2015

Challenges and goals for accelerators in the XXI century

editors Oliver Brüning, Stephen Myers, CERN, Switzerland

Hackensack, New Jersey : World Scientific, [2016]

Motivation for particle accelerator development -- Energy revolution: from static fields to cavity resonators -- The world's first colliders: Adone, VEP -- Lepton colliders and the Zoo of elementary particles in the 70s: PETRA, SPEAR, PEP -- The LEP e+ e- ring at the energy frontier of circular lepton colliders -- SLAC: the highest energy linear collider -- B-factories -- The Cosmotron ('53) and the Bevatron ('54): the first GeV -- The PS ('59) and AGS ('60): first strong focusing proton synchrotrons -- ISR: the world's first proton collider (appr. '65; 1st collisions '71) -- The SPS ('76): the first proton-antiproton collider; stochastic cooling; discovery of neutral currents and the W and Z bosons -- The antiproton accumulator and collector rings and the discovery of the W&Z intermediate bosons -- Fermilab antiproton sourcem recycler ring and main injector -- Production of antiprotons at CERN and the unique rf manipulations in the PSB & PS -- Tevatron: the world's first fully superconducting collider; discovery of the Top and Bottom quark -- Neutrino production and spallation sources: Kamiokande (cosmic rays), NuMi and MINOS (FERMILAB) -- Soudan mine); n-TOF and NA64 at SPS; ISIS (Rutherford Laboratory) -- HERA: the world's first and only proton electron collider -- Circular light sources -- XFEL light sources -- SSC; ISABELLE ('78 groundbreaking)-> CBA ('81) -> cancelled ('83) -- GSI: heavy ion facility -- ISOLDE and Rex: a rare isotope facility -- LEAR and AD antiproton facilities: production of anti-Hydrogen -- B-factories: the luminosity frontier: KEK-B upgrade projects -- RHIC: the first dedicated heavy ion collider; bunched beam cooling for ions -- The LHC project: the energy frontier of high energy particle physics -- The LHC ion program -- The LHC upgrade plans: increasing the performance of the LHC -- The LHC injector complex upgrade: existing challenges and upgrade plans -- HE-LHC: the quest for increasing the energy of the LHC -- Electron-ion collider eRHIC (coherent electron cooling, energy recovery linac) -- LHeC: the option of a TeV scale Lepton Hadron collider using the LHC infrastructure -- ILC and CLIC: design of a high energy lepton collider -- Circular lepton colliders as an option for a Higgs factory: the highest energy circular lepton collider -- HIE ISOLDE -- FAIR project at GSI -- ELENA anti proton facility -- CNGS: Neutrino appearance physics -- European Spallation Source -- Neutrino factory proton driver and target design -- The quest for power: high power proton drivers in the XXI century -- Plasma acceleration -- Energy recovery linacs -- FFAGS: front end for neutrino factories and medical accelerators -- Fast cooling and Muon acceleration and the prospect of Muon colliders -- HITGSI: SIS a medical treatment facility -- Medaustron: the Austrian cancer treatment facility -- Industrial projects (Siemens in Kiel and Marburg, IBA) -- Other options for Hadron treatment facilities (e.g. LEIR at CERN etc).

Kresge QC787.P3 C47 2016

Hyperbolic conservation laws in continuum physics

Dafermos, C. M

Berlin : Springer-Verlag, [2016]

Baker Berry Cook QC793.3.C58 D34 2016

Rarefied gas dynamics : fundamentals for research and practice

Sharipov, Felix

Weinheim, Germany : Wiley-VCH, 2016

Kresge QC168 .S537 2016

Quantum mathematical physics : a bridge between mathematics and physics

Felix Finster, Johannes Kleiner, Christian Röken, Jürgen Tolksdorf, editors

Cham : Birkhäuser, [2016]

On the spin-statistics connection in curved spacetimes / Christopher J. Fewster -- Is there a C-function in 4D quantum Einstein gravity? / Daniel Becker and Martin Reuter -- Systematic renormalization at all orders in the DiffRen and improved Epstein-Glaser schemes / José M. Gracia-Bondía -- Higgs mechanism and renormalization group flow : are they compatible? / Michael Dütsch -- Hadamard states from null infinity / Claudio Dappiaggi -- Local thermal equilibrium states in relativistic quantum field theory / Michael Gransee -- Categorical methods in quantum field theory / Frédéric Paugam -- A solvable four-dimensional QFT / Harald Grosse and Raimar Wulkenhaar -- Wave equations with non-commutative space and time / Rainer Verch -- Thermal equilibrium states for quantum fields on non-commutative spacetimes / Gandalf Lechner and Jan Schlemmer -- Kinematical foundations of loop quantum cosmology / Christian Fleischhack -- Cosmic puzzles : dark matter and dark energy / Gerhard Börner -- Radiation and scattering in non-relativistic quantum electrodynamics / Israel Michael Sigal -- Avoiding ultraviolet divergence by means of interior-boundary conditions / Stefan Teufel and Roderich Tumulka -- Causal fermion systems : an overview / Felix Finster -- A perspective on external field QED / Dirk-André Deckert and Franz Merkl -- Super Riemann surfaces and the super conformal action functional / Enno Keßler -- Recent developments in deformation quantization / Stefan Waldmann -- Dirac's point electron in the zero-gravity Kerr-Newman world / Michael K.-H. Kiessling and A. Shadi Tahvildar-Zadeh -- Noncommutative geometry and the physics of the LHC era / Christoph A. Stephan -- Variational stability and rigidity of compact Einstein manifolds / Klaus Kröncke.

"Quantum physics has been highly successful for more than 90 years. Nevertheless, a rigorous construction of interacting quantum field theory is still missing. Moreover, it is still unclear how to combine quantum physics and general relativity in a unified physical theory. Attacking these challenging problems of contemporary physics requires highly advanced mathematical methods as well as radically new physical concepts. This book presents different physical ideas and mathematical approaches in this direction. It contains a carefully selected cross-section of lectures which took place in autumn 2014 at the sixth conference "Quantum Mathematical Physics--A Bridge between Mathematics and Physics'' in Regensburg, Germany."--Page 4 of cover.

Kresge QC174.17.M35 Q353 2016

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