Numerical Relativistic Quantum Optics

Abstract

A general solution for relativistic quantum optics problems is developed, with a view toward describing the ionization of high charge state ions by laser fields. Solutions of the Dirac and Klein-Gordon equations are discussed, with emphasis on the latter. The stationary states in a Coulomb potential and uniform magnetic field are determined analytically and numerically. Fully time dependent numerical calculations of relativistic wavefunctions in extreme magnetic fields are validated. The relativistic ionization rate is computed for an ion illuminated by a laser field near the usual barrier suppression threshold, which, so far, appears to remain valid in the relativistic limit. Ponderomotive effects can be seen in the calculated wavefunction. Computational performance is important due to the rapid oscillations in a relativistic wavefunction. Multiple General Purpose Graphical Processing Units are utilized in parallel by means of the Message Passing Interface in order to speed up calculations.

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Document Details

Document Type
Technical Report
Publication Date
Nov 08, 2013
Accession Number
ADA589266

Entities

People

  • Bahman Hafizi
  • D. Gordon
  • Michael Helle

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Atomic Spectra
  • Atoms
  • Difference Equations
  • Differential Equations
  • Dirac Equation
  • Dispersion Relations
  • Eigenvalues
  • Electromagnetic Wave Propagation
  • Electrons
  • Energy Levels
  • Magnetic Fields
  • Partial Differential Equations
  • Quantum Mechanics
  • Quantum Numbers
  • Quantum Optics
  • Wave Equations
  • Zeeman Effect

Fields of Study

  • Physics

Readers

  • Optical Physics and Photonics.
  • Plasma Physics / Magnetohydrodynamics
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Directed Energy
  • Quantum Computing