{"product_id":"phase-space-dynamics-in-plasma-based-wakefield-acceleration-9789811523830","title":"Phase Space Dynamics in Plasma Based Wakefield Acceleration","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book explores several key issues in beam phase space dynamics in plasma-based wakefield accelerators. It reveals the phase space dynamics of ionization-based injection methods by identifying two key phase mixing processes. Subsequently, the book proposes a two-color laser ionization injection scheme for generating high-quality beams, and assesses it using particle-in-cell (PIC) simulations. To eliminate emittance growth when the beam propagates between plasma accelerators and traditional accelerator components, a method using longitudinally tailored plasma structures as phase space matching components is proposed. Based on the aspects above, a preliminary design study on X-ray free-electron lasers driven by plasma accelerators is presented. Lastly, an important type of numerical noise—the numerical Cherenkov instabilities in particle-in-cell codes—is systematically studied.\u003cbr\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003eChapter 1 Introduction\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e1.1 Introduction\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e1.2 Plasma Based Acceleration\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e1.3 Particle-in-Cell Simulations\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e1.4 Motivation and Outline\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003eChapter 2 Phase Space Dynamics of Injected Electron Beams in Ionization Injection\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e2.1 Introduction\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e2.2 The Photoionization Process\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e2.3 The Residual Momentum\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 2.3.1 Initial Momentum from the Tunneling Ionization\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 2.3.2 The Momentum from the Lasers: Longitudinal Injection\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 2.3.3 The Momentum from the Lasers: Transverse Injection\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 2.3.4 The Thermal Emittance\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e2.4 Single Particle Motion in the Nonlinear Wake\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e2.5 Transverse Phase Mixing\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 2.5.1 Emittance Evolution: Growth and Oscillation in the Injection Stage\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e 2.5.2 Emittance Evolution: Decrease and Regrowth in the Acceleration Stage\u003cp\u003e\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 2.5.3 A Phenomenological Model\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 2.5.4 Comparisons with PIC Simulations\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e2.6 Longitudinal Phase Mixing\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 2.6.1 The Trapping Condition\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 2.6.2 Longitudinal Phase Mixing\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e2.7 Space Charge Effects\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e2.8 The Two-Color Ionization Injection\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 2.8.1 The Emittance in A Single Laser Case\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 2.8.2 The Two-Color Ionization Injection: Longitudinal Injection\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 2.8.3 The Two-Color Ionization Injection: Transverse Injection\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e2.9 Intrinsic Phase Space Discretization in Laser Triggered Ionization Injection\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 2.9.1 Single Laser Pulse Case\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 2.9.2 Beam Driver with a Laser Injector\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e2.10 Summary\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e3.1 Introduction\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e3.2 The Emittance Growth between Stages\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 3.2.1 Emittance Growth in Free Space Drifting\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 3.2.2 Emittance Growth in A Uniform Focusing Field\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e3.3 Theoretical Analysis of A Matching Plasma\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 3.3.1 How to Design the Matching Plasma?\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 3.3.2 The Effect of the Energy Spread\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e3.4 Verification by PIC Simulations \u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 3.4.1 Matching Between Two-Stage LWFAs\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 3.4.2 Matching in External Injection\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 3.4.3 Matching between LWFAs and the Quadrupoles\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e3.5 Summary\u003cp\u003e\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003eChapter 4 X-FELs Driven by Plasma Based Accelerators\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e4.1 Introduction\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e 4.1.1 The Basic Principles of FELs\u0026lt;\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 4.1.2 The Challenges and Opportunities of X-FELs Driven by plasma Based Accelerators\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e4.2 X-FEL Driven by A Two-Stage LWFA\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e 4.2.1 Simulation of the Injector Stage\u003cp\u003e\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 4.2.2 Simulation of the Accelerator Stage\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 4.2.3 Simulation of the Undulator Stage\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e4.3 Conclusions\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003eChapter 5 Numerical Instability due to Relativistic Plasma Drift in EM-PIC Simulations\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e5.1 Introduction\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 5.1.1 The Boosted Frame Simulations of LWFA\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 5.1.2 Numerical Noise Induced by Relativistic Plasma Drift in PIC Codes\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e5.2 Numerical Dispersion Relation for Cold Plasma Drift\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 5.2.1 Derivation of Dispersion Relation\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 5.2.2 Elements of Dispersion Relation Tensor\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 5.2.3 EM Modes, and Wave-Particle Resonance\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e5.3 Numerical Instability Induced by Relativistic Plasma Drift for the Yee Solver\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 5.3.1 Theoretical Analysis of the 2D Dispersion Relation\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 5.3.2 Simulation Study of the Instability\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e5.4 Asymptotic Expression for Instability Growth Rate\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 5.4.1 Derivation of Asymptotic Expression\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 5.4 2 Parameter Scans for Minimal Instability Growth Rate\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e5.5 Elimination of the Numerical Cerenkov Instability for Spectral EM-PIC codes\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 5.5.1 The NCI Modes For the Spectral Solver\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 5.5.2 The Positions and the Growth Rates of the NCI Modes for the Spectral Solver\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e 5.53 LWFA Simulation in the Lorentz Boosted Frame with Spectral Solver\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e5.6 Conclusions\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003eChapter 6 Summary\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e6.1 Concluding Remarks\u003c\/p\u003e  \u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e6.2 Future Work\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003eReference\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003eAcknowledgement\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003eAppendix A\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e\u003c\/p\u003e\u003cp\u003e A.1 Derivation of the Emittance Evolution in the Acceleration Stage\u003c\/p\u003e\u003cp\u003e  A.2 Interpolation Tensor and Finite Difference Operator\u003c\/p\u003e","brand":"Springer Verlag, Singapore","offers":[{"title":"Default Title","offer_id":53212828139863,"sku":"9789811523830","price":80.99,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/phase-space-dynamics-in-plasma-based-wakefield-acceleration-9789811523830","provider":"Book Curl","version":"1.0","type":"link"}