# Comment on “Generalized dispersion relation for electron Bernstein waves in a non-Maxwellian magnetized anisotropic plasma” [Phys. Plasmas 17, 102114 (2010)]

## Abstract

In a recent paper [Deeba et al., Phys. Plasmas 17, 102114 (2010)], a generalized dielectric constant for the electron Bernstein waves using non-Maxwellian distribution functions was derived in a collisionless, uniform magnetized plasma. Using the Neumann series expansion for the products of Bessel functions, Deeba, Ahmad, and Murtaza derived the dispersion relations for both kappa and the generalized (r, q) distributions in a straightforward manner. However, their results are questionable, since the Neumann series expansion for the products of Bessel functions is valid for small argument, while for perpendicular propagation, it is necessary to evaluate special integrands for small as well as large arguments.

- Authors:

- Physics Department, Isfahan University of Technology, Isfahan (Iran, Islamic Republic of)

- Publication Date:

- OSTI Identifier:
- 22408168

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 2; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ANISOTROPY; BERNSTEIN MODE; BESSEL FUNCTIONS; COLLISIONLESS PLASMA; DISPERSION RELATIONS; DISTRIBUTION FUNCTIONS; ELECTRONS; MAGNETIZATION; NEUMANN SERIES; PERMITTIVITY; PLASMA WAVES

### Citation Formats

```
Sharifi, M., E-mail: m.sharifi@ph.iut.ac.ir, and Parvazian, A..
```*Comment on “Generalized dispersion relation for electron Bernstein waves in a non-Maxwellian magnetized anisotropic plasma” [Phys. Plasmas 17, 102114 (2010)]*. United States: N. p., 2015.
Web. doi:10.1063/1.4906890.

```
Sharifi, M., E-mail: m.sharifi@ph.iut.ac.ir, & Parvazian, A..
```*Comment on “Generalized dispersion relation for electron Bernstein waves in a non-Maxwellian magnetized anisotropic plasma” [Phys. Plasmas 17, 102114 (2010)]*. United States. doi:10.1063/1.4906890.

```
Sharifi, M., E-mail: m.sharifi@ph.iut.ac.ir, and Parvazian, A.. Sun .
"Comment on “Generalized dispersion relation for electron Bernstein waves in a non-Maxwellian magnetized anisotropic plasma” [Phys. Plasmas 17, 102114 (2010)]". United States.
doi:10.1063/1.4906890.
```

```
@article{osti_22408168,
```

title = {Comment on “Generalized dispersion relation for electron Bernstein waves in a non-Maxwellian magnetized anisotropic plasma” [Phys. Plasmas 17, 102114 (2010)]},

author = {Sharifi, M., E-mail: m.sharifi@ph.iut.ac.ir and Parvazian, A.},

abstractNote = {In a recent paper [Deeba et al., Phys. Plasmas 17, 102114 (2010)], a generalized dielectric constant for the electron Bernstein waves using non-Maxwellian distribution functions was derived in a collisionless, uniform magnetized plasma. Using the Neumann series expansion for the products of Bessel functions, Deeba, Ahmad, and Murtaza derived the dispersion relations for both kappa and the generalized (r, q) distributions in a straightforward manner. However, their results are questionable, since the Neumann series expansion for the products of Bessel functions is valid for small argument, while for perpendicular propagation, it is necessary to evaluate special integrands for small as well as large arguments.},

doi = {10.1063/1.4906890},

journal = {Physics of Plasmas},

number = 2,

volume = 22,

place = {United States},

year = {Sun Feb 15 00:00:00 EST 2015},

month = {Sun Feb 15 00:00:00 EST 2015}

}

DOI: 10.1063/1.4906890

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