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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :
IOP Publishing,
[2021]
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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.