"Version: 202111"--Title page verso.

Includes bibliographical references.

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. Schr�odinger 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 Schr�odinger equation -- 7.7. De Broglie relations for multidimensional systems -- 8. Conclusions.

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 interactions between laser beams and electrons. It uses exact solutions of relativistic and classical quantum equations, including a new solution of the Dirac equation, to fully describe the field and model the main ultra-relativistic effects created within it.

Scientists, graduate students and professionals working in high-power laser facilities and labs as well as those studying relativistic optics.

Also available in print.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

Alexandru Popa was born on June 3, 1943. He graduated from 'Gheorghe Sincai' High School in Bucharest in 1961. He received a Physicist Engineer degree at the Polytechnic University of Bucharest in 1966, a Master of Science degree from the University of California, Berkeley, in 1972, and Doctoral degree at the Polytechnic University of Bucharest in 1974.

Title from PDF title page (viewed on December 6, 2021).