Interference of electron trajectories and generation of high-order optical harmonics in a Coulomb system
- Department of Physics, M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
The amplitudes of harmonics of the atomic response are determined as functions of the intensity of the pump light wave within the range of intensities of 4.9x10{sup 13} - 2.1x10{sup 14} W cm{sup -2} through the numerical solution of the Schrodinger equation for a hydrogen atom in an oscillating electric field. For the amplitudes of harmonics starting from the 5th up to at least the 55th order, these dependences display a deep modulation. Generation of high-order harmonics is analysed within the framework of semiclassical theory including several factors that were ignored in earlier studies. Relatively simple formulas for the amplitudes of high-order harmonics are derived. These formulas agree well with the results of numerical simulations in the range of tunnelling ionisation and provide a satisfactory agreement with numerical simulations in the range of barrier-suppression ionisation. (nonlinear optical phenomena)
- OSTI ID:
- 21442795
- Journal Information:
- Quantum Electronics (Woodbury, N.Y.), Vol. 31, Issue 1; Other Information: DOI: 10.1070/QE2001v031n01ABEH001891; ISSN 1063-7818
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
AMPLITUDES
COMPUTERIZED SIMULATION
ELECTRIC FIELDS
ELECTRONS
HARMONICS
HYDROGEN
INTERFERENCE
IONIZATION
MODULATION
NUMERICAL SOLUTION
OPTICAL PUMPING
SCHROEDINGER EQUATION
SEMICLASSICAL APPROXIMATION
TRAJECTORIES
TUNNEL EFFECT
VISIBLE RADIATION
APPROXIMATIONS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC RADIATION
ELEMENTARY PARTICLES
ELEMENTS
EQUATIONS
FERMIONS
LEPTONS
MATHEMATICAL SOLUTIONS
NONMETALS
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PUMPING
RADIATIONS
SIMULATION
WAVE EQUATIONS