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Ultra-relativistic effects of laser beam and electron interactions : basic equations, exact solutions and modelling /

The latest generation of high-power pulsed lasers has renewed interest in the ultra-relativistic effects produced by the interaction between laser beams and electrons. Synthesising previous research, this book presents a unitary treatment of the main effects that occur in the ultra-relativistic inte...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Popa, Alexandru (Alexandru Mircea) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2021]
Colección:IOP (Series). Release 21.
IOP series in coherent sources, quantum fundamentals, and applications.
IOP ebooks. 2021 collection.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Introduction
  • 2. Exact solutions of the basic equations
  • 2.1. Initial hypotheses
  • 2.2. Solution of the classical equation of electron motion
  • 2.3. Solution of the Klein-Gordon equation
  • 2.4. Solution of the Dirac equation
  • 3. Modelling ultra-relativistic interactions in electron plasmas
  • 3.1. Initial hypotheses
  • 3.2. Phase effect
  • 3.3. Effect of strong electron acceleration in the ultra-relativistic regime
  • 3.4. Electromagnetic field generated by the electron motion
  • 3.5. Very intense pulses having very large frequency spectra
  • 4. Modelling interactions between laser beams and ultra-relativistic electron beams
  • 4.1. Initial hypotheses
  • 4.2. Solution of the equation of electron motion in the S[prime] system
  • 4.3. Solution of the Klein-Gordon equation in the system S[prime]
  • 4.4. Solution of the Dirac equation in the S[prime] system
  • 4.5. Relations for the linearly polarized laser field
  • 4.6. Comparison with experimental results from the literature
  • 4.7. General conditions for the validity of classical equations in the S[prime] system
  • 5. Modelling the radiation damping effect in ultra-relativistic interactions
  • 5.1. Initial hypotheses
  • 5.2. Expressions for damping force and damping energy
  • 5.3. Radiation damping parameters calculated in the S[prime] system
  • 5.4. Comparison between theory and data from the literature
  • 6. Modelling interactions in the vicinity of the ultra-relativistic regime
  • 6.1. Initial hypotheses
  • 6.2. Interactions between a laser beam and electron plasmas
  • 6.3. Head-on interaction between a laser beam and an electron beam
  • 6.4. Interactions in 180 and 90 [degree] configurations
  • 6.5. Comparison with similar models from the literature
  • 6.6. Interaction between laser beams and atoms
  • 7. Condition of applicability of classical models
  • 7.1. Initial hypotheses
  • 7.2. Schrödinger equation, wave equation and characteristic equation
  • 7.3. The characteristic [Sigma] surface and its normal C curves
  • 7.4. Properties of the characteristic curves and surfaces
  • 7.5. The periodicity of the system
  • 7.6. The integral relation of the Schrödinger equation
  • 7.7. De Broglie relations for multidimensional systems
  • 8. Conclusions.