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The purpose of this book is to investigate the laser assisted electron acceleration of in vacuum and plasmas. The behaviour of electron in the influence of different laser polarizations is analysed. The techniques are employed to make laser more focused and diffraction free. The relativistic Newton-Lorentz equations of motion in analytically specified laser fields are used to study the electron acceleration in plasma and vacuum. The equation of motion and relativistic energy equation are used to discover the trajectory and energy gain by the charged particle under different conditions respectively. The equations of motion and energy equation of the charged particle are derived and solved numerically to obtain the results which are further employed to study the electron acceleration. The influence of frequency chirp is studied on laser induced electron acceleration in vacuum and plasma. We have utilized the chirped tightly focused laser and chirped echelon phase modulated laser also to study its impact on electron energy. The present study has a great potential in the field of hard X-ray generation, cancer therapy and industrial purposes etc.
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