Related Experiment Video
Updated: Jul 11, 2026

07:17
Non-equilibrium Microwave Plasma for Efficient High Temperature Chemistry
Published on: August 1, 2017
Bright multi-keV harmonic generation from relativistically oscillating plasma surfaces
Physical Review Letters
|October 13, 2007
Summary
Researchers observed high-order X-ray harmonic radiation from petawatt laser interactions, showing efficient scaling up to a specific order. Beyond this, intensity-dependent efficiency rollover occurred, with highly directional emission.
Area of Science:
- Plasma Physics
- Laser-Matter Interactions
- X-ray Science
Background:
- Petawatt-class lasers enable extreme light-matter interactions.
- High-order harmonic generation (HHG) is a key process for X-ray production.
- Understanding efficiency scaling and emission characteristics is crucial for applications.
Purpose of the Study:
- To investigate X-ray harmonic radiation generated by petawatt laser-solid interactions.
- To characterize the efficiency scaling and emission properties at multi-keV energies.
- To identify the onset of intensity-dependent effects in HHG.
Main Methods:
- Utilized petawatt-class laser systems interacting with solid targets.
- Analyzed X-ray harmonic spectra to determine order and energy.
- Measured emission cone angles and efficiency scaling with harmonic order.
Main Results:
- Observed X-ray harmonic radiation extending to 3.3 Å (3.8 keV, order n>3200).
- Demonstrated relativistic limit efficiency scaling (η ∝ n⁻².⁵–n⁻³) at multi-keV energies.
- Identified an intensity-dependent efficiency rollover beyond a maximum order (nRO ∝ γ³).
Conclusions:
- Established efficient high-order harmonic generation up to n>3200 from petawatt lasers.
- Characterized the transition to intensity-dependent rollover, providing insights into emission physics.
- Confirmed coherent, highly directional X-ray emission (≈4° cone angle for >1 keV photons).
Related Concept Videos
Generating Electromagnetic Radiations
The German physicist Heinrich Hertz (1857–1894) was the first to generate and detect certain types of electromagnetic waves in the laboratory. Starting in 1887, he performed a series of experiments that confirmed the existence of electromagnetic waves and verified that they travel at the speed of light. Hertz used an alternating-current RLC (resistor-inductor-capacitor) circuit that resonated at a known frequency and connected it to a loop of wire. High voltages induced across the gap in the...
Standing Waves in a Cavity
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
Emission Spectra
When solids, liquids, or condensed gases are heated sufficiently, they radiate some of the excess energy as light. Photons produced in this manner have a range of energies, and thereby produce a continuous spectrum in which an unbroken series of wavelengths is present.
Carrier Generation and Recombination
Carrier generation is the process by which electron-hole pairs (EHPs) are created within the semiconductor. In direct-bandgap semiconductors, such as gallium arsenide (GaAs), this occurs efficiently when energy absorption prompts valence electrons to leap into the conduction band, leaving behind holes.
This process is given by the generation rate G and is efficient due to the conservation of momentum between the valence band maximum and conduction band minimum.
Indirect generation involves an...
This process is given by the generation rate G and is efficient due to the conservation of momentum between the valence band maximum and conduction band minimum.
Indirect generation involves an...

