Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Maxwell's Equation Of Electromagnetism01:29

Maxwell's Equation Of Electromagnetism

James Clerk Maxwell (1831–1879) was one of the major contributors to physics in the nineteenth century. Although he died young, he made major contributions to the development of the kinetic theory of gases, to the understanding of color vision, and to understanding the nature of Saturn's rings. He is probably best known for having combined existing knowledge on the laws of electricity and magnetism with his insights into a complete overarching electromagnetic theory, which is represented by...
Electromagnetic Waves01:30

Electromagnetic Waves

James Clerk Maxwell formulated a single theory combining all the electric and magnetic effects scientists knew during that time, calling the phenomena his theory predicted “Electromagnetic waves”. He brought together all the work that had been done by brilliant physicists such as Oersted, Coulomb, Gauss, and Faraday and added his own insights to develop the overarching theory of electromagnetism. Maxwell’s equations, combined with the Lorentz force law, encompass all the laws of electricity and...
Plane Electromagnetic Waves I01:30

Plane Electromagnetic Waves I

The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
The EM field is assumed to be a...
Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
Differential Form of Maxwell's Equations01:17

Differential Form of Maxwell's Equations

James Clerk Maxwell (1831–1879) was one of the significant contributors to physics in the nineteenth century. He is probably best known for having combined existing knowledge of the laws of electricity and the laws of magnetism with his insights to form a complete overarching electromagnetic theory, represented by Maxwell's equations. The four basic laws of electricity and magnetism were discovered experimentally through the work of physicists such as Oersted, Coulomb, Gauss, and Faraday.
Electromagnetic Wave Equation01:24

Electromagnetic Wave Equation

Maxwell's equations for electromagnetic fields are related to source charges, either static or moving. These fields act on a test charge, whose trajectory can thus be determined using suitable boundary conditions. The objective of electromagnetism is thus theoretically complete.
However, although electric and magnetic fields were first introduced as mathematical constructs to simplify the description of mutual forces between charges, a natural question emerges from Maxwell's equations: What...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Hawking Radiation from the Double Copy.

Physical review letters·2026
Same author

Observation of quantum effects on radiation reaction in strong fields.

Nature communications·2026
Same author

All Order Gravitational Waveforms from Scattering Amplitudes.

Physical review letters·2023
Same author

Renormalization Group Flow of the Jaynes-Cummings Model.

Physical review letters·2020
Same author

Quantum Radiation Reaction: From Interference to Incoherence.

Physical review letters·2016
Same author

Detecting radiation reaction at moderate laser intensities.

Physical review. E, Statistical, nonlinear, and soft matter physics·2015

Related Experiment Video

Updated: Jul 7, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Exact Classical and Quantum Dynamics in Background Electromagnetic Fields.

Tom Heinzl1, Anton Ilderton1

  • 1Centre for Mathematical Sciences, University of Plymouth, PL4 8AA, United Kingdom.

Physical Review Letters
|April 4, 2017
PubMed
Summary
This summary is machine-generated.

Researchers developed new models for laser-matter interactions beyond the plane wave approximation. This approach precisely solves laser-field interactions, improving predictions for intense laser experiments.

More Related Videos

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Related Experiment Videos

Last Updated: Jul 7, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

  • Quantum Electrodynamics (QED)
  • Laser-Matter Interactions
  • Theoretical Physics

Background:

  • Analytical solutions for quantum electrodynamics (QED) in external fields are restricted, primarily to plane wave models.
  • Intense laser fields exhibit strong focusing, necessitating models beyond the simplified plane wave approximation.
  • Understanding laser-matter interactions is crucial for advancements in high-intensity physics.

Purpose of the Study:

  • To develop and solve new, exact models for laser-matter interactions that account for realistic laser field structures.
  • To overcome the limitations of the plane wave model in describing strong focusing laser fields.
  • To provide a more accurate theoretical framework for experiments at intense laser facilities.

Main Methods:

  • Exploitation of Poincaré symmetry and superintegrability to construct novel theoretical models.
  • Development of approximation-free methods for solving these new models.
  • Application of the developed method to a specific case: a radially polarized (TM) laser beam.

Main Results:

  • Exact determination of classical particle orbits within the modeled laser field.
  • Exact calculation of quantum wave functions for the laser-matter interaction.
  • Demonstration of a method applicable to laser fields with transverse structure.

Conclusions:

  • The developed method offers an exact, non-approximative approach to modeling laser-matter interactions in focused fields.
  • Incorporating transverse field structure significantly enhances the predictive power for experiments.
  • This work paves the way for improved analyses and predictions in high-intensity laser science.