# Electron energy distribution function in plasma determined using numerical simulations of multiple harmonic components on Langmuir probe characteristic--Efficiency of the method

## Abstract

The method proposed to determine the electron energy distribution is based on the numerical simulation of the effect induced by a sinusoidal perturbation superimposed to the direct current voltage applied to the probe. The simulation is generating a multiple harmonic components signal over the rough experimental data. Each harmonic component can be isolated by means of finite impulse response filters. Then, the second derivative is deduced from the second harmonic component using the Taylor expansion. The efficiency of the method is proved first on simple cases and second on typical Langmuir probes characteristics recorded in the expansion of a microwave plasma containing argon or nitrogen-hydrogen gas mixture. Results obtained using this method are compared to those, which are determined using a classical Savitzsky-Golay filter.

- Authors:

- SPCTS, UMR 6638 CNRS, Faculte des Sciences et Techniques, 123 avenue A. Thomas, 87060 Limoges (France)

- Publication Date:

- OSTI Identifier:
- 20953414

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Review of Scientific Instruments; Journal Volume: 78; Journal Issue: 4; Other Information: DOI: 10.1063/1.2719211; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ARGON; DISTRIBUTION FUNCTIONS; DISTURBANCES; EFFICIENCY; ELECTRIC POTENTIAL; ELECTRONS; ENERGY SPECTRA; HYDROGEN; LANGMUIR PROBE; MICROWAVE RADIATION; NITROGEN; PLASMA; PLASMA SIMULATION; PULSES

### Citation Formats

```
Jauberteau, J. L., and Jauberteau, I.
```*Electron energy distribution function in plasma determined using numerical simulations of multiple harmonic components on Langmuir probe characteristic--Efficiency of the method*. United States: N. p., 2007.
Web. doi:10.1063/1.2719211.

```
Jauberteau, J. L., & Jauberteau, I.
```*Electron energy distribution function in plasma determined using numerical simulations of multiple harmonic components on Langmuir probe characteristic--Efficiency of the method*. United States. doi:10.1063/1.2719211.

```
Jauberteau, J. L., and Jauberteau, I. Sun .
"Electron energy distribution function in plasma determined using numerical simulations of multiple harmonic components on Langmuir probe characteristic--Efficiency of the method". United States.
doi:10.1063/1.2719211.
```

```
@article{osti_20953414,
```

title = {Electron energy distribution function in plasma determined using numerical simulations of multiple harmonic components on Langmuir probe characteristic--Efficiency of the method},

author = {Jauberteau, J. L. and Jauberteau, I.},

abstractNote = {The method proposed to determine the electron energy distribution is based on the numerical simulation of the effect induced by a sinusoidal perturbation superimposed to the direct current voltage applied to the probe. The simulation is generating a multiple harmonic components signal over the rough experimental data. Each harmonic component can be isolated by means of finite impulse response filters. Then, the second derivative is deduced from the second harmonic component using the Taylor expansion. The efficiency of the method is proved first on simple cases and second on typical Langmuir probes characteristics recorded in the expansion of a microwave plasma containing argon or nitrogen-hydrogen gas mixture. Results obtained using this method are compared to those, which are determined using a classical Savitzsky-Golay filter.},

doi = {10.1063/1.2719211},

journal = {Review of Scientific Instruments},

number = 4,

volume = 78,

place = {United States},

year = {Sun Apr 15 00:00:00 EDT 2007},

month = {Sun Apr 15 00:00:00 EDT 2007}

}