LEADER 05871nam 2200745 a 450 001 9910133639303321 005 20200520144314.0 010 $a9786613140906 010 $a9781283140904 010 $a128314090X 010 $a9783527635474 010 $a3527635475 010 $a9783527635467 010 $a3527635467 035 $a(CKB)3400000000000410 035 $a(EBL)700942 035 $a(OCoLC)701311777 035 $a(SSID)ssj0000476994 035 $a(PQKBManifestationID)12131073 035 $a(PQKBTitleCode)TC0000476994 035 $a(PQKBWorkID)10502077 035 $a(PQKB)11442282 035 $a(MiAaPQ)EBC700942 035 $a(Perlego)2768120 035 $a(EXLCZ)993400000000000410 100 $a20120112d2010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aField computation for accelerator magnets $eanalytical and numerical methods for electromagnetic design and optimization /$fStephan Russenschuck 210 $aWeinheim $cWiley-VCH$d2010 215 $a1 online resource (779 p.) 300 $aDescription based upon print version of record. 311 08$a9783527407699 311 08$a3527407693 320 $aIncludes bibliographical references and index. 327 $aField Computation for Accelerator Magnets: Analytical and Numerical Methods for Electromagnetic Design and Optimization; Contents; Preface; Notation; 1 Magnets for Accelerators; 1.1 The Large Hadron Collider; 1.2 A Magnet Metamorphosis; 1.3 Superconductor Technology; 1.3.1 Critical Current Density of Superconductors; 1.3.2 Strands; 1.3.3 Cables; 1.4 The LHC Dipole Coldmass; 1.5 Superfluid Helium Physics and Cryogenic Engineering; 1.6 Cryostat Design and Cryogenic Temperature Levels; 1.7 Vacuum Technology; 1.8 Powering and Electrical Quality Assurance; 1.9 Electromagnetic Design Challenges 327 $a1.9.1 The CERN Field Computation Program ROXIE1.9.2 Analytical and Numerical Field Computation; References; 2 Algebraic Structures and Vector Fields; 2.1 Mappings; 2.2 Groups, Rings, and Fields; 2.3 Vector Space; 2.3.1 Linear Independence and Basis; 2.4 Linear Transformations; 2.5 Affine Space; 2.5.1 Coordinates; 2.6 Inner Product Space; 2.6.1 Metric Space; 2.6.2 Orthonormal Bases; 2.6.3 The Erhard Schmidt Orthogonalization; 2.7 Orientation; 2.8 A Glimpse on Topological Concepts; 2.8.1 Homotopy; 2.8.2 The Boundary Operator; 2.9 Exterior Products; 2.10 Identities of Vector Algebra 327 $a2.11 Vector Fields2.12 Phase Portraits; 2.13 The Physical Dimension System; References; 3 Classical Vector Analysis; 3.1 Space Curves; 3.1.1 The Frenet Frame of Space Curves; 3.2 The Directional Derivative; 3.3 Gradient, Divergence, and Curl; 3.4 Identities of Vector Analysis; 3.5 Surfaces in E3; 3.6 The Differential; 3.7 Differential Operators on Scalar and Vector Fields in r and r?; 3.8 The Path Integral of a Vector Field; 3.9 Coordinate-Free Definitions of the Differential Operators; 3.10 Integral Theorems; 3.10.1 The Kelvin-Stokes Theorem; 3.10.2 Green's Theorem in the Plane 327 $a3.10.3 The Gauss-Ostrogradski Divergence Theorem3.10.4 A Variant of the Gauss Theorem; 3.10.5 Green's First Identity; 3.10.6 Green's Second Identity (Green's Theorem); 3.10.7 Vector Form of Green's Theorem; 3.10.8 Generalization of the Integration-by-Parts Rule; 3.10.9 The Stratton Theorems; 3.11 Curvilinear Coordinates; 3.11.1 Components of a Vector Field; 3.11.2 Contravariant Coefficients; 3.11.3 Covariant Coefficients; 3.12 Integration on Space Elements; 3.13 Orthogonal Coordinate Systems; 3.13.1 Differential Operators; 3.13.2 Cylindrical Coordinates; 3.13.3 Spherical Coordinates 327 $a3.14 The Lemmata of Poincare?3.15 De Rham Cohomology; 3.16 Fourier Series; References; 4 Maxwell's Equations and Boundary Value Problems in Magnetostatics; 4.1 Maxwell's Equations; 4.1.1 The Global Form; 4.1.2 The Integral Form; 4.1.3 The Local Form; 4.1.4 Maxwell's Original Set of Equations; 4.2 Kirchhoff's Laws; 4.3 Conversion of Energy in Electromagnetic Fields; 4.4 Constitutive Equations; 4.5 Boundary and Interface Conditions; 4.6 Magnetic Material; 4.6.1 Ferromagnetism; 4.6.2 Measurement of Hysteresis Curves; 4.6.3 Magnetic Anisotropy in Laminated Iron Yokes; 4.6.4 Magnetostriction 327 $a4.6.5 Permanent Magnets 330 $aWritten by a leading expert on the electromagnetic design and engineering of superconducting accelerator magnets, this book offers the most comprehensive treatment of the subject to date. In concise and easy-to-read style, the author lays out both the mathematical basis for analytical and numerical field computation and their application to magnet design and manufacture. Of special interest is the presentation of a software-based design process that has been applied to the entire production cycle of accelerator magnets from the concept phase to field optimization, production follow-up, and har 606 $aElectromagnetic devices$xDesign and construction$xData processing 606 $aElectromagnetic fields$xDesign and construction$xData processing 606 $aElectromagnetism$xData processing 606 $aParticle accelerators 606 $aMathematical optimization 615 0$aElectromagnetic devices$xDesign and construction$xData processing. 615 0$aElectromagnetic fields$xDesign and construction$xData processing. 615 0$aElectromagnetism$xData processing. 615 0$aParticle accelerators. 615 0$aMathematical optimization. 676 $a530.1/41/0285 676 $a539.736 700 $aRussenschuck$b Stephan$0772204 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910133639303321 996 $aField computation for accelerator magnets$91576320 997 $aUNINA