High-order optical processes: towards nonperturbative nonlinear optics

Abstract

We develop an approach describing nonlinear-optical processes in the strong-field domain characterized by the nonperturbative field-with-matter interaction. The polarization of an isolated atom in the external field calculated via the numerical solution of the time-dependent Schrödinger equation agrees with our analytical findings. For the practically important case of one strong laser field and several weaker fields we derive and analytically solve propagation equations describing high-order (HO) wave-mixing, HO parametric amplification and HO stimulated scattering. These processes provide a way of efficient coherent XUV generation. Some properties of HO processes are new in nonlinear optics: essentially complex values of the coefficients in the propagation equations, the super-exponential (hyperbolic) growing solutions, etc. Finally, we suggest conditions for the practical realization of these processes and discuss published numerical and experimental results where such processes could have been observed.

References in corpus (3)

• Bright Coherent Ultrahigh Harmonics in the keV X-Ray Regime from Mid-Infrared Femtosecond Lasers
• Spin conservation in high-order-harmonic generation using bicircular fields
• Phase properties of the cut-off high-order harmonics

Cited by in corpus (7)

• Nonlinear Light Absorption in Many-Electron Systems Excited by an Instantaneous Electric Field: A Non-Perturbative Approach
• Spectral caustic in two-color high harmonic generation: role of Coulomb effects
• High-order parametric generation of coherent XUV radiation
• Heisenberg uncertainty relation for relativistic electrons
• Generation of Attosecond Pulses with Controllable Carrier-Envelope Phase via High-order Frequency Mixing
• Nonlinear propagation effect in x-ray parametric amplification during high harmonic generation
• Nonlinear Nonperturbative Optics Model Enriched by Evolution Equation for Polarization