研究目的
Investigating the sensitivity of high harmonic generation to the carrier envelope phase in long duration multi-cycle pulses with multiple timescales, and exploring its implications for spectroscopy and CEP characterization.
研究成果
HHG from multi-timescale pulses exhibits strong CEP dependence even for long durations, with an analytical parameter (ε) correlating with the threshold pulse duration. A tri-chromatic scheme allows CEP reconstruction, potentially benefiting spectroscopy and attosecond science applications.
研究不足
The study is theoretical and computational, relying on simplified 1D/2D models and specific atomic potentials, which may not fully capture real-world complexities. Experimental validation is not provided, and the analytical condition is qualitative.
1：Experimental Design and Method Selection:
The study uses numerical simulations based on quantum mechanical models to solve the time-dependent Schr?dinger equation (TDSE) for a single electron interacting with an atomic-like potential and laser fields. Theoretical analysis includes deriving an analytical condition to quantify intensity variations.
2：Sample Selection and Data Sources:
The atomic model uses a softened Coulomb pseudopotential to mimic a Ne atom's ionization potential. Data is generated through numerical computations.
3：List of Experimental Equipment and Materials:
No physical equipment is used; the study is computational, involving software for solving TDSE and analyzing harmonic spectra.
4：Experimental Procedures and Operational Workflow:
The TDSE is integrated using a 3rd order split operator method with absorbing boundaries to avoid reflections. Harmonic spectra are calculated from the Fourier transform of the dipole acceleration.
5：Data Analysis Methods:
Harmonic cutoff frequency is determined by smoothing the spectrum and setting a threshold. The transition threshold for CEP dependence is evaluated based on derivatives of cutoff frequency with respect to pulse duration.
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