LEADER 05529nam 2200697Ia 450 001 9910830024403321 005 20170815144651.0 010 $a1-282-16504-6 010 $a9786612165047 010 $a0-470-61117-0 010 $a0-470-39380-7 035 $a(CKB)2550000000005899 035 $a(EBL)477688 035 $a(SSID)ssj0000337688 035 $a(PQKBManifestationID)11252241 035 $a(PQKBTitleCode)TC0000337688 035 $a(PQKBWorkID)10294580 035 $a(PQKB)11234337 035 $a(MiAaPQ)EBC477688 035 $a(OCoLC)520990439 035 $a(PPN)158735730 035 $a(EXLCZ)992550000000005899 100 $a20071106d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe finite element method for electromagnetic modeling$b[electronic resource] /$fedited by Gerard Meunier 210 $aLondon $cISTE ;$aHoboken, NJ, USA $cWiley$d2008 215 $a1 online resource (618 p.) 225 1 $aISTE ;$vv.33 300 $aDescription based upon print version of record. 311 $a1-84821-030-2 320 $aIncludes bibliographical references and index. 327 $aThe Finite Element Method for Electromagnetic Modeling; Table of Contents; Chapter 1. Introduction to Nodal Finite Elements; 1.1. Introduction; 1.1.1. The finite element method; 1.2. The 1D finite element method; 1.2.1. A simple electrostatics problem; 1.2.2. Differential approach; 1.2.3. Variational approach; 1.2.4. First-order finite elements; 1.2.5. Second-order finite elements; 1.3. The finite element method in two dimensions; 1.3.1. The problem of the condenser with square section; 1.3.2. Differential approach; 1.3.3. Variational approach 327 $a1.3.4. Meshing in first-order triangular finite elements1.3.5. Finite element interpolation; 1.3.6. Construction of the system of equations by the Ritz method; 1.3.7. Calculation of the matrix coefficients; 1.3.8. Analysis of the results; 1.3.9. Dual formations, framing and convergence; 1.3.10. Resolution of the nonlinear problems; 1.3.11. Alternative to the variational method: the weighted residues method; 1.4. The reference elements; 1.4.1. Linear reference elements; 1.4.2. Surface reference elements; 1.4.3. Volume reference elements; 1.4.4. Properties of the shape functions 327 $a1.4.5. Transformation from reference coordinates to domain coordinates.1.4.6. Approximation of the physical variable; 1.4.7. Numerical integrations on the reference elements; 1.4.8. Local Jacobian derivative method; 1.5. Conclusion; 1.6. References; Chapter 2. Static Formulations: Electrostatic, Electrokinetic, Magnetostatics; 2.1. Problems to solve; 2.1.1. Maxwell's equations; 2.1.2. Behavior laws of materials; 2.1.3. Boundary conditions; 2.1.4. Complete static models; 2.1.5. The formulations in potentials; 2.2. Function spaces in the fields and weak formulations 327 $a2.2.1. Integral expressions: introduction2.2.2. Definitions of function spaces; 2.2.3. Tonti diagram: synthesis scheme of a problem; 2.2.4. Weak formulations; 2.3. Discretization of function spaces and weak formulations; 2.3.1. Finite elements; 2.3.2. Sequence of discrete spaces; 2.3.3. Gauge conditions and source terms in discrete spaces; 2.3.4. Weak discrete formulations; 2.3.5. Expression of global variables; 2.4. References; Chapter 3. Magnetodynamic Formulations; 3.1. Introduction; 3.2. Electric formulations; 3.2.1. Formulation in electric field 327 $a3.2.2. Formulation in combined potentials ? - ?3.2.3. Comparison of the formulations in field and in combined potentials; 3.3. Magnetic formulations; 3.3.1. Formulation in magnetic field; 3.3.2. Formulation in combined potentials t - ?; 3.3.3. Numerical example; 3.4. Hybrid formulation; 3.5. Electric and magnetic formulation complementarities; 3.5.1. Complementary features; 3.5.2. Concerning the energy bounds; 3.5.3. Numerical example; 3.6. Conclusion; 3.7. References; Chapter 4. Mixed Finite Element Methods in Electromagnetism; 4.1. Introduction; 4.2. Mixed formulations in magnetostatics 327 $a4.2.1. Magnetic induction oriented formulation 330 $aWritten by specialists of modeling in electromagnetism, this book provides a comprehensive review of the finite element method for low frequency applications. Fundamentals of the method as well as new advances in the field are described in detail.Chapters 1 to 4 present general 2D and 3D static and dynamic formulations by the use of scalar and vector unknowns and adapted interpolations for the fields (nodal, edge, face or volume).Chapter 5 is dedicated to the presentation of different macroscopic behavior laws of materials and their implementation in a finite element context: anisotrop 410 0$aISTE 606 $aElectromagnetic devices$xMathematical models 606 $aElectromagnetism$xMathematical models 606 $aEngineering mathematics 606 $aFinite element method 615 0$aElectromagnetic devices$xMathematical models. 615 0$aElectromagnetism$xMathematical models. 615 0$aEngineering mathematics. 615 0$aFinite element method. 676 $a621.301/51825 676 $a621.30151825 701 $aMeunier$b Gerard$01653804 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910830024403321 996 $aThe finite element method for electromagnetic modeling$94005282 997 $aUNINA LEADER 03606nam 22005775 450 001 9910739456003321 005 20251113191539.0 010 $a9783030929725$b(electronic bk.) 010 $z9783030929718 024 7 $a10.1007/978-3-030-92972-5 035 $a(MiAaPQ)EBC6882545 035 $a(Au-PeEL)EBL6882545 035 $a(CKB)21069307400041 035 $a(PPN)260827193 035 $a(OCoLC)1295242556 035 $a(DE-He213)978-3-030-92972-5 035 $a(EXLCZ)9921069307400041 100 $a20220201d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPassive Optical Resonators for Next-Generation Attosecond Metrology /$fby Ioachim Pupeza 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (73 pages) 225 1 $aSpringerBriefs in Physics,$x2191-5431 311 08$aPrint version: Pupeza, Ioachim Passive Optical Resonators for Next-Generation Attosecond Metrology Cham : Springer International Publishing AG,c2022 9783030929718 327 $aIntroduction -- Cavity?enhanced high?order harmonic generation for attosecond metrology -- Next?generation enhancement cavities for attosecond metrology ? an outlook. 330 $aThis book introduces readers to the development of a new generation of high pulse-repetition frequency instruments for multi-dimensional attosecond-resolution photoelectron spectroscopy (attosecond PES). It investigates the power scaling of femtosecond enhancement cavities for efficient intracavity high-harmonics generation (HHG). Further, it derives and verifies advanced resonator designs that feature large illuminated spots on all mirrors, which mitigate both intensity- and thermally-induced enhancement limitations. The dynamics of a high-finesse, passive resonator in the presence of a highly nonlinear optical process such as HHG are quantitatively investigated, both theoretically and experimentally. These investigations are instrumental in achieving the holistic optimization of the XUV source reported on here, which for the first time reached intracavity HHG conversion efficiencies comparable to those achieved in single-pass setups with a similar gas target. Coupling out the XUV beam from the enhancement cavity by purely geometric means, employing both the fundamental and higher-order transverse Gaussian modes, is studied. This offers the advantages of robustness, low distortion to the participating pulses, and photon-energy scalability. Last but not least, the author provides a range of proof-of-principle attosecond angle-resolved PES experiments. The book gives an outlook on the possible future development of cavity-enhanced HHG and an extensive discussion on the generation of isolated XUV attosecond pulses via intracavity wavefront rotation. 410 0$aSpringerBriefs in Physics,$x2191-5431 606 $aOptics 606 $aPhotonics 606 $aOptics and Photonics 606 $aApplied Optics 606 $aUltrafast Photonics 615 0$aOptics. 615 0$aPhotonics. 615 14$aOptics and Photonics. 615 24$aApplied Optics. 615 24$aUltrafast Photonics. 676 $a389.1 676 $a389.1 700 $aPupeza$b Ioachim$f1980-$01258803 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910739456003321 996 $aPassive optical resonators for next-generation attosecond metrology$92916984 997 $aUNINA