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 #  AuthorTitleAccn#YearItem Type Claims
1 Jie Liu Classical trajectory perspective of atomic ionization in strong laser fields I02401 eBook  
2 PD Lin New computation methods for geometrical optics I02395 eBook  
3 Rachid Touzani Mathematical models for eddy currents and magnetostatics I02392 eBook  
4 Andrey Grozin Introduction to Mathematica for physicists I02377 eBook  
5 Wolfram Schmidt Numerical modelling of astrophysical turbulence I02375 eBook  
6 Guglielmo Paoletti Deterministic Abelian sandpile models and patterns I02371 eBook  
7 Kirill Kulikov Laser interaction with biological material I02370 eBook  
8 Cheng Jin Theory of nonlinear propagation of high harmonics generated in a gaseous medium I02334 eBook  
9 Andr�es Bustos Molina Kinetic simulations of ion transport in fusion devices I02323 eBook  
10 Massimiliano Bonamente Statistics and analysis of scientific data I02316 eBook  
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TitleClassical trajectory perspective of atomic ionization in strong laser fields : semiclassical modeling
Author(s)Jie Liu
Description1 online resource (viii, 84 pages) : illustrations (some color)
Abstract NoteThe ionization of atoms and molecules in strong laser fields is an active field in modern physics and has versatile applications in such as attosecond physics, X-ray generation, inertial confined fusion (ICF), medical science and so on. Classical Trajectory Perspective of Atomic Ionization in Strong Laser Fields covers the basic concepts in this field and discusses many interesting topics using the semiclassical model of classical trajectory ensemble simulation, which is one of the most successful ionization models and has the advantages of a clear picture, feasible computing and accounting for many exquisite experiments quantitatively. The book also presents many applications of the model in such topics as the single ionization, double ionization, neutral atom acceleration and other timely issues in strong field physics, and delivers useful messages to readers with presenting the classical trajectory perspective on the strong field atomic ionization
Contents NoteTunneling ionization and classical trajectory model -- Single ionization in strong laser fields -- Double ionization in strong laser fields -- Partition of the linear photon momentum in atomic tunneling ionization -- Acceleration of neutral atoms with polarized intense laser fields -- Atomic ionization in relativistic intense laser fields
NotesIncludes bibliographical references
Keyword(s)1. Atoms and Molecules in Strong Fields, Laser Matter Interaction 2. EBOOK 3. EBOOK - SPRINGER 4. Ionization 5. Laser Technology, Photonics 6. LASERS 7. Numerical and Computational Physics 8. PHYSICS
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2.     
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TitleNew computation methods for geometrical optics
Author(s)PD Lin
Description1 online resource (xii, 239 pages) : illustrations (some color)
Abstract NoteThis book employs homogeneous coordinate notation to compute the first- and second-order derivative matrices of various optical quantities. It will be one of the important mathematical tools for automatic optical design. The traditional geometrical optics is based on raytracing only. It is very difficult, if possible, to compute the first- and second-order derivatives of a ray and optical path length with respect to system variables, since they are recursive functions. Consequently, current commercial software packages use a finite difference approximation methodology to estimate these derivatives for use in optical design and analysis. Furthermore, previous publications of geometrical optics use vector notation, which is comparatively awkward for computations for non-axially symmetrical systems
Contents NoteHomogeneous coordinate notation -- Skew-Ray Tracing at Boundary Surfaces -- Modeling an Optical System -- Paraxial Optics for Axis-Symmetrical Systems -- The Jacobian Matrix of a Ray with respect to System Variable Vector -- Point Spread Function and Modulation Transfer Function -- Optical Path Length and Its Jacobian Matrix with respect to System Variable Vector -- The Wavefront Shape, Irradiance, and Caustic Surface in an Optical System
NotesIncludes bibliographical references
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GEOMETRICAL OPTICS 4. Microwaves, RF and Optical Engineering 5. Numerical and Computational Physics 6. Optics and Electrodynamics 7. Optics, Optoelectronics, Plasmonics and Optical Devices 8. PHYSICS 9. QUANTUM OPTICS
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3.     
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TitleMathematical models for eddy currents and magnetostatics : with selected applications
Author(s)Rachid Touzani;Jacques Rappaz
Description1 online resource (xii, 305 pages) : illustrations (some color)
Abstract NoteThis monograph addresses fundamental aspects of mathematical modeling and numerical solution methods of electromagnetic problems involving low frequencies, i.e. magnetostatic and eddy current problems which are rarely presented in the applied mathematics literature. In the first part, the authors introduce the mathematical models in a realistic context in view of their use for industrial applications. Several geometric configurations of electric conductors leading to different mathematical models are carefully derived and analyzed, and numerical methods for the solution of the obtained problems are given. Related issues such as convergence of the approximations and error estimates are discussed. The second part of the monograph presents various coupled problems that involve eddy current or magnetostatic problems, in particular magneto-hydrodynamic problems and magnetic shaping problems concerning the melt flow of electrically conducting metals, induction heating processes, inductively coupled plasmas and ferromagnetic screening modeling. The presentation of each model comes with numerical illustration from industrial applications
Contents NotePart I. Eddy Current Models -- Mathematical framework -- Maxwell and eddy current equations -- Two-dimensional models -- Three-dimensional models -- Axisymmetric setting -- Eddy current models with thin inductors -- Numerical Methods -- Part II. Selected Applications -- Induction Heating Processes -- Magnetohydrodynamics and Magnetic Shaping -- Inductively coupled plasma torches -- Ferromagnetic Shielding -- The electrolytic process for aluminium production
NotesIncludes bibliographical references and index
Keyword(s)1. Appl.Mathematics/Computational Methods of Engineering 2. Computational Science and Engineering 3. EBOOK 4. EBOOK - SPRINGER 5. Eddies 6. MAGNETOSTATICS 7. MATHEMATICS 8. Numerical and Computational Physics 9. SCIENCE / Earth Sciences / Geography 10. SCIENCE / Earth Sciences / Geology
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4.     
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TitleIntroduction to Mathematica for physicists
Author(s)Andrey Grozin
Description1 online resource (x, 219 pages) : illustrations (some color)
Abstract NoteMathematica is the most widely used system for doing mathematical calculations by computer, including symbolic and numeric calculations and graphics. It is used in physics and other branches of science, in mathematics, education and many other areas. Many important results in physics would never be obtained without a wide use of computer algebra. This book describes ideas of computer algebra and the language of the Mathematica system. It also contains a number of examples, mainly from physics, also from mathematics and chemistry. After reading this book and solving problems in it, the reader will be able to use Mathematica efficiently for solving his/her own problems
Contents NotePart I Lectures -- Computer algebra systems -- Overview of Mathematica -- Expressions.-Patterns and substitutions -- Functions -- Mathematica as a programming language -- Grb ner bases -- Calculus -- Risch algorithm -- Linear algebra -- Input--output and strings -- Packages -- Part II Computer classes -- Plots -- Trigonometric functions -- Quantum oscillator -- Spherical harmonics -- Adding angular momenta in quantum mechanics -- Classical nonlinear oscillator -- Cyclohexane -- Multi- functions -- Quantum nonlinear oscillator -- Riemann curvature tensor -- Rainbow -- Problems for students
NotesIncludes bibliographical references and index
Keyword(s)1. Computer Applications in Chemistry 2. EBOOK 3. EBOOK - SPRINGER 4. Mathematical Applications in the Physical Sciences 5. MATHEMATICAL PHYSICS 6. Numerical and Computational Physics 7. Particle and Nuclear Physics 8. PHYSICS
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5.     
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TitleNumerical modelling of astrophysical turbulence
Author(s)Wolfram Schmidt
Description1 online resource (viii, 90 pages) : illustrations (some color)
Abstract NoteIn this "SpringerBrief" the author considers the underlying problems and questions that are common to numerical models of turbulence in different astrophysical systems. Turbulence has emerged as an important research topic in several areas of astrophysics. Understanding and modeling turbulence is particularly important for the dynamics of the interstellar medium, but also for the intergalactic medium, as well as in stars. The advancement of methods for numerical simulations of astrophysical turbulence, however, is still challenging because of gravity, strong compressibility, magnetic fields, and other effects. The book begins with a review of general aspects of numerical simulations of turbulence. In the main part the author presents findings from his numerical studies on astrophysical turbulence and discusses the astrophysical implications. He also explains in detail the numerical schemes utilized
Contents NoteTurbulence theory -- Simulation techniques -- Phenomenology and statistics -- Complex processes
NotesIncludes bibliographical references and index
Keyword(s)1. Appl.Mathematics/Computational Methods of Engineering 2. Astrophysics and Astroparticles 3. EBOOK 4. EBOOK - SPRINGER 5. Fluid- and Aerodynamics 6. Numerical and Computational Physics 7. PHYSICS 8. TECHNOLOGY & ENGINEERING / Hydraulics 9. TURBULENCE
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6.     
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TitleDeterministic Abelian sandpile models and patterns
Author(s)Guglielmo Paoletti
Description1 online resource (xii, 163 pages) : illustrations
Abstract NoteThe model investigated in this work, a particular cellular automaton with stochastic evolution, was introduced as the simplest case of self-organized-criticality, that is, a dynamical system which shows algebraic long-range correlations without any tuning of parameters. The author derives exact results which are potentially also interesting outside the area of critical phenomena. Exact means also site-by-site and not only ensemble average or coarse graining. Very complex and amazingly beautiful periodic patterns are often generated by the dynamics involved, especially in deterministic protocols in which the sand is added at chosen sites. For example, the author studies the appearance of allometric structures, that is, patterns which grow in the same way in their whole body, and not only near their boundaries, as commonly occurs. The local conservation laws which govern the evolution of these patterns are also presented. This work has already attracted interest, not only in non-equilibrium statistical mechanics, but also in mathematics, both in probability and in combinatorics. There are also interesting connections with number theory. Lastly, it also poses new questions about an old subject. As such, it will be of interest to computer practitioners, demonstrating the simplicity with which charming patterns can be obtained, as well as to researchers working in many other areas
Contents NoteIntroduction -- The Abelian Sandpile Model -- Algebraic structure -- Identity characterization -- Pattern formation -- Conclusions -- SL(2, Z) -- Complex notation for vectors in R2 -- Generalized quadratic Bezier curve -- Tessellation
NotesIncludes bibliographical references
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Functions, Abelian 4. MATHEMATICAL PHYSICS 5. MATHEMATICS / Calculus 6. MATHEMATICS / Mathematical Analysis 7. Numerical and Computational Physics 8. Probability Theory and Stochastic Processes 9. Simulation and Modeling 10. Statistical Physics, Dynamical Systems and Complexity
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7.     
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TitleLaser interaction with biological material : mathematical modeling
Author(s)Kirill Kulikov
Description1 online resource (xi, 149 pages) : illustrations
Abstract NoteThis book covers the principles of laser interaction with biological cells and tissues of varying degrees of organization. The problems of biomedical diagnostics are considered. Scattering of laser irradiation of blood cells is modeled for biological structures (dermis, epidermis, vascular plexus). An analytic theory is provided which is based on solving the wave equation for the electromagnetic field. It allows the accurate analysis of interference effects arising from the partial superposition of scattered waves. Treated topics of mathematical modeling are: optical characterization of biological tissue with large-scale and small-scale inhomogeneities in the layers, heating blood vessel under laser irradiation incident on the outer surface of the skin and thermo-chemical denaturation of biological structures at the example of human skin
Contents NoteMethods describing the interaction of laser radiation with biological tissues -- Overview of theoretical approaches to the analysis of light scattering -- Modeling of optical characteristics of spherical particles in the optical resonator cavity -- Mathematical models of the interaction of laser radiation with turbid media -- Study of the optical characteristics of a biotissue with large-scale imhomogeneities -- Light scattering by dielectric bodies of irregular shape in a layered medium -- Modeling of the optical characteristics fibrillar structure -- Study of optical properties of biotissues by the intracavity laser spectroscopy method -- Study of the optical characteristiscs of thin layer of the biological sample -- Simulation of the thermal processes
NotesIncludes bibliographical references and index
Keyword(s)1. Biomedical engineering 2. Biophysics and Biological Physics 3. EBOOK 4. EBOOK - SPRINGER 5. HEALTH & FITNESS / Holism 6. HEALTH & FITNESS / Reference 7. Laser Technology, Photonics 8. Lasers in biophysics 9. Lasers in medicine 10. MEDICAL / Alternative Medicine 11. MEDICAL / Atlases 12. MEDICAL / Essays 13. MEDICAL / Family & General Practice 14. MEDICAL / Holistic Medicine 15. MEDICAL / Osteopathy 16. Medical and Radiation Physics 17. Numerical and Computational Physics 18. PHYSICS
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8.     
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TitleTheory of nonlinear propagation of high harmonics generated in a gaseous medium
Author(s)Cheng Jin
Description1 online resource (xiv, 159 pages) : illustrations (some color)
Abstract NoteTheory of Nonlinear Propagation of High Harmonics Generated in a Gaseous Medium establishes the theoretical tools to study High-Order Harmonic Generation (HHG) by intense ultrafast infrared lasers in atoms and molecules. The macroscopic propagation of both laser and high-harmonic fields is taken into account by solving Maxwell's wave equations, while the single-atom or single-molecule response is treated with a quantitative rescattering theory by solving the time-dependent Schrd inger equation. This book demonstrates for the first time that observed experimental HHG spectra of atoms and molecules can be accurately reproduced theoretically when precise experimental conditions are known. The macroscopic HHG can be expressed as a product of a macroscopic wave packet and a photorecombination cross section, where the former depends on laser and experimental conditions while the latter is the property of target atoms or molecules. The factorization makes it possible to retrieve microscopically atomic or molecular structure information from the measured macroscopic HHG spectra. This book also investigates other important issues about HHG, such as contributions from multiple molecular orbitals, the minimum in the HHG spectrum, the spatial mode of laser beams, and the generation of an isolated attosecond pulse. Additionally, this book presents the photoelectron angular distribution of aligned molecules ionized by the HHG light
NotesIncludes bibliographical references
Keyword(s)1. Atomic/Molecular Structure and Spectra 2. Atoms and Molecules in Strong Fields, Laser Matter Interaction 3. EBOOK 4. EBOOK - SPRINGER 5. Harmonics (Electric waves) 6. Numerical and Computational Physics 7. Optics, Optoelectronics, Plasmonics and Optical Devices 8. PHYSICS 9. QUANTUM THEORY 10. SCIENCE / Physics / Quantum Theory
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9.     
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TitleKinetic simulations of ion transport in fusion devices
Author(s)Andr�es Bustos Molina
Description1 online resource (xi, 128 pages) : color illustrations
Abstract NoteThis thesis deals with the problem of ion confinement in thermonuclear fusion devices. It is a topic of general interest, as it helps to understand via numerical simulations the ion confinement properties in complex geometries, in order to predict their behavior and maximize the performance of future fusion reactors. The main work carried out in this thesis is the improvement and exploitation of an existing simulation code called ISDEP. This code solves the so-called ion collisional transport in arbitrary plasma geometry, improving in this sense other existing codes. Additionally, it presents outstanding portability and scalability in distributed computing architectures, such as Grid or Volunteer Computing. The main physical results can be divided into two blocks. First, the study of 3D ion transport in ITER is presented. ITER is the largest fusion reactor (under construction) and most of the simulations so far assume the axis-symmetry of the device. Unfortunately, this symmetry is only an approximation because of the discrete number of magnetic coils used. ISDEP has shown, using a simple model of the 3D magnetic field, how the ion confinement is affected by this symmetry breaking. Secondly, ISDEP has been applied successfully to the study of fast ion dynamics in fusion plasmas. The fast ions, with energies much larger than the thermal energy, are a product of the device's heating system. Thus, a numerical predictive tool can be used to improve the heating efficiency. ISDEP has been combined with the FAFNER2 code to study such ions in stellarator (TJ-II, LHD) and tokamak (ITER) geometries. It has also been validated by experimental results. In particular, comparisons with the CNPA diagnostic in the TJ-II stellarator are remarkable
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. NUCLEAR ENERGY 4. NUCLEAR FUSION 5. NUCLEAR PHYSICS 6. Numerical and Computational Physics 7. PHYSICS 8. PLASMA PHYSICS 9. SCIENCE / Physics / Quantum Theory
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10.    
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TitleStatistics and analysis of scientific data
Author(s)Massimiliano Bonamente
Description1 online resource (xv, 301 pages) : illustrations
Abstract NoteStlatistics and Analysis of Scientific Data covers the foundations of probability theory and statistics, and a number of numerical and analytical methods that are essential for the present-day analyst of scientific data. Topics covered include probability theory, distribution functions of statistics, fits to two-dimensional datasheets and parameter estimation, Monte Carlo methods and Markov chains. Equal attention is paid to the theory and its practical application, and results from classic experiments in various fields are used to illustrate the importance of statistics in the analysis of scientific data. The main pedagogical method is a theory-then-application approach, where emphasis is placed first on a sound understanding of the underlying theory of a topic, which becomes the basis for an efficient and proactive use of the material for practical applications. The level is appropriate for undergraduates and beginning graduate students, and as a reference for the experienced researcher. Basic calculus is used in some of the derivations, and no previous background in probability and statistics is required. The book includes many numerical tables of data, as well as exercises and examples to aid the students' understanding of the topic
NotesIncludes bibliographical references and index
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. MATHEMATICAL STATISTICS 4. Numerical and Computational Physics 5. Probability Theory and Stochastic Processes 6. RESEARCH 7. Statistical Physics, Dynamical Systems and Complexity 8. Statistical Theory and Methods
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