Related Experiment Video
Updated: Mar 14, 2026

10:17
20 mJ, 1 ps Yb:YAG Thin-disk Regenerative Amplifier
Published on: July 12, 2017
12.1K
Illuminating Molecular Symmetries with Bicircular High-Order-Harmonic Generation
Daniel M Reich1, Lars Bojer Madsen1
1Department of Physics and Astronomy, Aarhus University, DK-8000 Aarhus C, Denmark.
Physical Review Letters
|October 8, 2016
Summary
We developed a theory for high-order harmonic generation in molecules using bicircular fields. This method reveals molecular rotational symmetries from the harmonic signal, offering a new way to study molecular structures.
Area of Science:
- Atomic, Molecular, and Optical Physics
- Quantum Optics
- Ultrafast Science
Background:
- High-order harmonic generation (HHG) is a key process for producing coherent extreme ultraviolet and X-ray light.
- Understanding molecular response to intense laser fields is crucial for attosecond science and molecular imaging.
- Bicircular fields offer unique control over HHG, but their interpretation in molecules remains complex.
Purpose of the Study:
- To develop a general theoretical framework for bicircular high-order-harmonic generation (BHG) in molecules.
- To predict the harmonic spectra structure for arbitrary driving frequency ratios.
- To demonstrate the direct identification of molecular rotational symmetries from BHG signals.
Main Methods:
- A general theory based on a rotating frame of reference was developed.
- The theory predicts the complete structure of high-order harmonic spectra.
- Analysis focuses on N-fold rotationally symmetric molecules.
Main Results:
- A universal characteristic fingerprint of rotational molecular symmetries was identified in BHG spectra.
- The method allows direct identification of molecular symmetries from the harmonic signal.
- Predictions are valid for arbitrary driving frequency ratios.
Conclusions:
- BHG provides a powerful tool for probing molecular symmetries.
- The ultrafast response of molecules to strong bicircular fields contains direct information about their structure.
- This work establishes a new pathway for molecular symmetry characterization using laser-driven phenomena.
Related Concept Videos
¹H NMR: Interpreting Distorted and Overlapping Signals
1.7K
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
1.7K
Properties of Fourier series II
693
Time scaling of signals is a crucial concept in signal processing that affects the Fourier series representation without altering its coefficients. The process modifies the fundamental frequency, thereby changing how the series represents the signal over time. This principle is essential in various applications, including audio and image processing, where signal manipulation is frequent. Understanding function symmetries is fundamental to simplifying the Fourier series.
A function f(t) is...
A function f(t) is...
693
¹H NMR: Complex Splitting
2.1K
A proton M that is coupled to a proton X results in doublet signals for M. However, NMR-active nuclei can be simultaneously coupled to more than one nonequivalent nucleus. When M is coupled to a second proton A, such as in styrene oxide, each peak in the doublet is split into another doublet.
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied...
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied...
2.1K
Molecular Orbital Theory II
28.2K
Molecular Orbital Energy Diagrams
28.2K
Modes of Standing Waves - I
4.2K
A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This...
4.2K
Hybridization of Atomic Orbitals I
68.9K
The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
68.9K

