Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Retrieval of full angular- and energy-dependent complex transition dipoles in the molecular frame from laser-induced high-order harmonic signals with aligned molecules

Journal Article · · Physical Review A
 [1];  [2];  [3];  [2];  [2];  [2];  [3]
  1. Huazhong Univ. of Science and Technology, Wuhan (China); Wuhan Institute of Technology (China); OSTI
  2. Huazhong Univ. of Science and Technology, Wuhan (China)
  3. Wuhan Institute of Technology (China)

High-order harmonic signals generated in molecules are the consequence of coherent summation of complex laser-induced transition dipoles $$\textit{d}(θ, ω)$$ with each fixed-in-space molecule; here $$\theta$$ is the angle of the molecular axis with respect to the laser polarization axis and $$\omega$$ is the harmonic energy. In the so-called rotational coherent spectroscopy, it is proposed to extract the fixed-in-space $$\textit{d}(θ, ω)$$ in the molecular frame by measuring harmonics generated by a probing laser from the rotational molecular wave packets that have been prepared by a prior pump laser. By varying the time delay between the two lasers, methods have been utilized to extract the $$\theta$$ dependence of both the amplitude and phase of each individual harmonic, but the relative phase between harmonics cannot be retrieved. Here we report that this limitation can be removed. It requires the additional measurement of harmonic spectra versus the pump-probe angles at one fixed time delay. The two-dimensional input harmonic data (time-delay and pump-probe angle) are then used to retrieve the full complex transition dipole $$\textit{d}(θ, ω)$$ using a retrieval method based on machine learning algorithms. Finally, we demonstrate this method on N2 and CO2 molecules.

Research Organization:
Kansas State Univ., Manhattan, KS (United States)
Sponsoring Organization:
National Key R&D Program; National Natural Science Foundation of China (NSFC); China Scholarship Council (CSC); USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division
Grant/Contract Number:
FG02-86ER13491
OSTI ID:
1800612
Journal Information:
Physical Review A, Journal Name: Physical Review A Journal Issue: 6 Vol. 101; ISSN 2469-9926
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (40)

Simulated Annealing: Theory and Applications book January 1987
Attosecond and Strong-Field Physics book January 2018
Rotational coherence spectroscopy: studies of the geometries of large gas-phase species by picosecond time-domain methods journal October 1992
Direct Measurement of the Angular Dependence of the Single-Photon Ionization of Aligned N 2 and CO 2 journal October 2008
Tomographic imaging of molecular orbitals journal December 2004
Quantum interference during high-order harmonic generation from aligned molecules journal May 2005
Generalized molecular orbital tomography journal June 2011
Machine learning applications in genetics and genomics journal May 2015
Angle-dependent strong-field ionization of halomethanes journal November 2019
Applications of B -splines in atomic and molecular physics journal November 2001
Elements of the quantitative rescattering theory journal April 2018
Investigation of isolated attosecond pulse reconstruction from angular integrated photoelectron streaking spectra journal June 2020
A new method for accurate retrieval of atomic dipole phase or photoionization group delay in attosecond photoelectron streaking experiments journal October 2017
Shaping attosecond pulses by controlling the minima in high-order harmonic generation through alignment of CO 2 molecules journal January 2020
Cooper minimum of high-order harmonic spectra from an MgO crystal in an ultrashort laser pulse journal March 2020
Field-free one-dimensional alignment of ethylene molecule journal March 2006
Quantitative rescattering theory for high-order harmonic generation from molecules journal July 2009
Computational studies of x-ray scattering from three-dimensionally-aligned asymmetric-top molecules journal April 2010
High-harmonic spectroscopy of isoelectronic molecules: Wavelength scaling of electronic-structure and multielectron effects journal March 2013
Phase-retrieval algorithm for the characterization of broadband single attosecond pulses journal April 2017
Theory of retrieving orientation-resolved molecular information using time-domain rotational coherence spectroscopy journal August 2017
Angle dependence of strong-field single and double ionization of carbonyl sulfide journal October 2018
Reconstruction of the complex angle-dependent photoionization transition dipole from a laser-dressed streaking experiment journal November 2018
Method for spectral phase retrieval of single attosecond pulses utilizing the autocorrelation of photoelectron streaking spectra journal March 2019
Direct imaging of molecular rotation with high-order-harmonic generation journal May 2019
Metrology of Time-Domain Soft X-Ray Attosecond Pulses and Reevaluation of Pulse Durations of Three Recent Experiments journal March 2020
Probing Molecular Frame Photoionization via Laser Generated High-Order Harmonics from Aligned Molecules journal May 2009
Rotationally Resolved Photoelectron Angular Distributions from a Nonlinear Polyatomic Molecule journal June 2009
Channel- and Angle-Resolved Above Threshold Ionization in the Molecular Frame journal January 2013
Role of Rotational Wave Packets in Strong Field Experiments journal December 2013
Multipulse Three-Dimensional Alignment of Asymmetric Top Molecules journal April 2014
Molecular Frame Reconstruction Using Time-Domain Photoionization Interferometry journal August 2017
Low Photon Count Phase Retrieval Using Deep Learning journal December 2018
Excitonic Wave Function Reconstruction from Near-Field Spectra Using Machine Learning Techniques journal October 2019
Complete description of molecular photoionization from circular dichroism of rotationally resolved photoelectron angular distributions journal June 1992
Photoelectron Angular Distributions from O K Shell of Oriented CO Molecules: A Critical Comparison between Theory and Experiment journal July 2000
Role of the Intramolecular Phase in High-Harmonic Generation journal April 2002
4 σ − 1 Inner Valence Photoionization Dynamics of NO Derived from Photoelectron-Photoion Angular Correlations journal April 2002
Field-Free Three Dimensional Molecular Axis Alignment journal April 2005
Measurement of molecular rotational temperature in a supersonic gas jet with high-order harmonic generation journal January 2009

Similar Records

Robust control of the minima of high-order harmonics by fine-tuning the alignment of CO2 molecules for shaping attosecond pulses and probing molecular alignment
Journal Article · Mon Jul 20 00:00:00 EDT 2020 · Physical Review A · OSTI ID:1800613

Real-Time Observation of Molecular Spinning with Angular High-Harmonic Spectroscopy
Journal Article · Mon Oct 15 00:00:00 EDT 2018 · Physical Review Letters · OSTI ID:1610049