# Lorentz-Abraham-Dirac versus Landau-Lifshitz radiation friction force in the ultrarelativistic electron interaction with electromagnetic wave (exact solutions).

@article{Bulanov2011LorentzAbrahamDiracVL, title={Lorentz-Abraham-Dirac versus Landau-Lifshitz radiation friction force in the ultrarelativistic electron interaction with electromagnetic wave (exact solutions).}, author={S. V. Bulanov and Timur Zh. Esirkepov and Masaki Kando and James K. Koga and Stepan S. Bulanov}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2011}, volume={84 5 Pt 2}, pages={ 056605 } }

When the parameters of electron-extreme power laser interaction enter the regime of dominated radiation reaction, the electron dynamics changes qualitatively. The adequate theoretical description of this regime becomes crucially important with the use of the radiation friction force either in the Lorentz-Abraham-Dirac form, which possesses unphysical runaway solutions, or in the Landau-Lifshitz form, which is a perturbation valid for relatively low electromagnetic wave amplitude. The goal of…

## 69 Citations

### Radiation friction force effects on electron dynamics in ultra-intensity laser pulse

- PhysicsPhysics of Plasmas
- 2019

The electron dynamics in the ultra-high intensity laser pulse with radiation friction force in the Landau-Lifshitz form are studied. It is demonstrated that widely used approximation, where only the…

### Classical radiation effects on relativistic electrons in ultraintense laser fields with circular polarization

- Physics
- 2012

The propagation of a relativistic electron with initial energy ≳100 MeV in a number of simple one-dimensional laser field configurations with circular polarization is studied by solving the…

### On the Schott Term in the Lorentz-Abraham-Dirac Equation

- PhysicsQuantum Beam Science
- 2020

The equation of motion for a radiating charged particle is known as the Lorentz–Abraham–Dirac (LAD) equation. The radiation reaction force in the LAD equation contains a third time-derivative term,…

### Novel reaction force for ultra-relativistic dynamics of a classical point charge

- Physics
- 2022

The problem of the electromagnetic radiation of an accelerated charged particle is one of the most controversial issues in Physics since the beginning of the last century, representing one of the…

### Higher order terms of radiative damping in extreme intense laser-matter interaction

- Physics
- 2012

The higher order terms of the Lorentz-Abraham-Dirac equation have been derived, and their effects are studied via a relativistic collisional particle-in-cell simulation. The dominant group of terms…

### Reduced-order Abraham-Lorentz-Dirac equation and the consistency of classical electromagnetism

- Physics
- 2015

It is widely believed that classical electromagnetism is either unphysical or inconsistent, owing to pathological behavior when self-force and radiation reaction are non-negligible. We argue that…

### Electron Dynamics in the Field of Strong Plasma and Electromagnetic Waves: A Review

- Physics
- 2021

Abstract Collective methods of charged particle acceleration provide an approach towards achieving high-energy particle beams with relatively compact accelerator facilities. Among the collective…

### Electron Dynamics in the Field of Strong Plasma and Electromagnetic Waves: A Review

- PhysicsPhysics of Wave Phenomena
- 2021

Collective methods of charged particle acceleration provide an approach towards achieving high-energy particle beams with relatively compact accelerator facilities. Among the collective acceleration…

### Radiation-dominated particle and plasma dynamics

- PhysicsPhysics of Plasmas
- 2018

We consider the general problem of charged particle motion in a strong electromagnetic field of arbitrary configuration and find a universal behaviour: for sufficiently high field strengths, the…

### On the electrodynamic model of ultra-relativistic laser-plasma interactions caused by radiation reaction effects

- Physics
- 2013

A simple electrodynamic model is developed to define plasma-field structures in self-consistent ultra-relativistic laser-plasma interactions when the radiation reaction effects come into play. An…

## References

SHOWING 1-10 OF 66 REFERENCES

### Exact Solution of the Landau-Lifshitz Equation in a Plane Wave

- Physics
- 2008

The Landau–Lifshitz (The Classical Theory of Fields. Elsevier, Oxford 1975) form of the Lorentz–Abraham–Dirac equation in the presence of a plane wave of arbitrary shape and polarization is solved…

### Dynamics of emitting electrons in strong laser fields

- Physics
- 2009

A new derivation of the motion of a radiating electron is given, leading to a formulation that differs from the Lorentz–Abraham–Dirac equation and its published modifications. It satisfies the proper…

### LETTER TO THE EDITOR: Radiative reaction in ultra-intense laser - atom interaction

- Physics
- 1998

The influence of the radiation of an initially bound electron in an ultra-intense laser field on its dynamics and the consequent corrections to its spectral response are investigated within the…

### Particle acceleration in relativistic laser channels

- Physics
- 1999

Energy spectra of ions and fast electrons accelerated by a channeling laser pulse in near-critical plasma are studied using three-dimensional (3D) Particle-In-Cell simulations. The realistic 3D…

### Nonlinear electrodynamics of the interaction of ultra-intense laser pulses with a thin foil

- Physics
- 1998

An analytical description of the interaction of laser light with a foil, described as a thin slab of overdense plasma, is presented together with the results of multidimensional particle in cell…

### Abraham-Lorentz versus Landau-Lifshitz

- Physics
- 2010

The classical Abraham–Lorentz formula for the radiation reaction on a point charge suffers from two notorious defects: runaways and preacceleration. Recently, several authors have advocated as an…

### Nonlinear Thomson scattering in the strong radiation damping regime

- Physics
- 2005

The motion of an electron can be strongly influenced by the radiation emitted by the electron during the interaction with petawatt class lasers focused to small spot sizes. In order to study this…

### Applications of Electrodynamics in Theoretical Physics and Astrophysics

- Physics
- 1989

The Hamiltonian approach to electrodynamics radiation reaction uniformly accelerated charges radiation emitted by relativistic and non-relativistic moving particles synchrotron radiation…

### The critical manifold of the Lorentz-Dirac equation

- Physics
- 2000

We investigate the solutions to the Lorentz-Dirac equation and show that its solution flow has a structure identical to the one of renormalization group flows in critical phenomena. The physical…

### Interaction of electromagnetic waves with plasma in the radiation-dominated regime

- Physics
- 2004

A study is made of the main regimes of interaction of relativistically strong electromagnetic waves with plasma under conditions in which the radiation from particles plays a dominant role. The…