Analytic description of high-order harmonic generation by atoms in a two-color laser field

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.063407· OSTI ID:21437916

Frolov, M V; Manakov, N L; Silaev, A A; Vvedenskii, N V ^[1]

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1. Department of Physics, Voronezh State University, 394006 Voronezh (Russian Federation)

A closed-form analytic formula describing high-order harmonic generation (HHG) in a two-color field of frequencies {omega} and 2{omega} is derived quantum mechanically in the low-frequency (tunneling) limit for an electron bound by a short-range potential and generalized to the case of an active electron in a neutral atom. The HHG rates are presented as a product of an electron wave packet describing the ionization of an active electron and its propagation in a laser field up to the recombination event and an atom-specific cross section of the electron's photorecombination. In contrast to the case of a monochromatic laser pulse [Frolov et al., Phys. Rev. Lett. 102, 243901 (2009)], the two-color wave packet involves the interference of two terms (involving the Airy function) that describe the emission of harmonics during the first and second half-cycles of the fundamental laser cycle and give rise to the two-plateau structures in the HHG spectra. For the case of the H atom, we show that our analytic results are in good agreement with those obtained from a numerical solution of the three-dimensional time-dependent Schroedinger equation. The factorization formula is used for describing the dependence of HHG rates for inert gases on the relative phase and intensities of the {omega} and 2{omega} components of a laser field. It is shown that atomic structure (including electron correlation) effects can modify substantially the two-color HHG spectra of inert gases.

• OSTI ID: 21437916
• Journal Information: Physical Review. A, Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevA.81.063407; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
AIRY FUNCTIONS
ATOMS
CROSS SECTIONS
ELECTRON CORRELATION
ELECTRONS
EMISSION SPECTRA
HARMONIC GENERATION
HYDROGEN
INTERFERENCE
IONIZATION
LASER RADIATION
MONOCHROMATIC RADIATION
NUMERICAL SOLUTION
PHOTON EMISSION
RARE GASES
SCHROEDINGER EQUATION
TIME DEPENDENCE
TUNNEL EFFECT
WAVE PACKETS
CORRELATIONS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC RADIATION
ELEMENTARY PARTICLES
ELEMENTS
EMISSION
EQUATIONS
FERMIONS
FLUIDS
FREQUENCY MIXING
FUNCTIONS
GASES
LEPTONS
MATHEMATICAL SOLUTIONS
NONMETALS
PARTIAL DIFFERENTIAL EQUATIONS
RADIATIONS
SPECTRA
WAVE EQUATIONS