# Exact analysis of particle dynamics in combined field of finite duration laser pulse and static axial magnetic field

## Abstract

Dynamics of a charged particle is studied in the field of a relativistically intense linearly polarized finite duration laser pulse in the presence of a static axial magnetic field. For a finite duration laser pulse whose temporal shape is defined by Gaussian profile, exact analytical expressions are derived for the particle trajectory, momentum, and energy as function of laser phase. From the solutions, it is shown that, unlike for the monochromatic plane wave case, resonant phase locking time between the particle and laser pulse is finite. The net energy transferred to the particle does not increase monotonically but tends to saturate. It is further shown that appropriate tuning of cyclotron frequency of the particle with the characteristic frequency in the pulse spectrum can lead to the generation of accelerated particles with variable energies in MeV-TeV range.

- Authors:

- Institute for Plasma Research, Bhat, Gandhinagar 382428 (India)

- Publication Date:

- OSTI Identifier:
- 22068918

- Resource Type:
- Journal Article

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 19; Journal Issue: 11; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; CHARGED PARTICLES; CYCLOTRON FREQUENCY; ELECTROMAGNETIC PULSES; ENERGY TRANSFER; KINETIC EQUATIONS; LASER RADIATION; MAGNETIC FIELDS; MATHEMATICAL SOLUTIONS; MEV RANGE; MONOCHROMATIC RADIATION; PARTICLES; TEV RANGE; WAVE PROPAGATION

### Citation Formats

```
Sagar, Vikram, Sengupta, Sudip, and Kaw, Predhiman.
```*Exact analysis of particle dynamics in combined field of finite duration laser pulse and static axial magnetic field*. United States: N. p., 2012.
Web. doi:10.1063/1.4769096.

```
Sagar, Vikram, Sengupta, Sudip, & Kaw, Predhiman.
```*Exact analysis of particle dynamics in combined field of finite duration laser pulse and static axial magnetic field*. United States. doi:10.1063/1.4769096.

```
Sagar, Vikram, Sengupta, Sudip, and Kaw, Predhiman. Thu .
"Exact analysis of particle dynamics in combined field of finite duration laser pulse and static axial magnetic field". United States. doi:10.1063/1.4769096.
```

```
@article{osti_22068918,
```

title = {Exact analysis of particle dynamics in combined field of finite duration laser pulse and static axial magnetic field},

author = {Sagar, Vikram and Sengupta, Sudip and Kaw, Predhiman},

abstractNote = {Dynamics of a charged particle is studied in the field of a relativistically intense linearly polarized finite duration laser pulse in the presence of a static axial magnetic field. For a finite duration laser pulse whose temporal shape is defined by Gaussian profile, exact analytical expressions are derived for the particle trajectory, momentum, and energy as function of laser phase. From the solutions, it is shown that, unlike for the monochromatic plane wave case, resonant phase locking time between the particle and laser pulse is finite. The net energy transferred to the particle does not increase monotonically but tends to saturate. It is further shown that appropriate tuning of cyclotron frequency of the particle with the characteristic frequency in the pulse spectrum can lead to the generation of accelerated particles with variable energies in MeV-TeV range.},

doi = {10.1063/1.4769096},

journal = {Physics of Plasmas},

issn = {1070-664X},

number = 11,

volume = 19,

place = {United States},

year = {2012},

month = {11}

}