Active plasma resonance spectroscopy: Eigenfunction solutions in spherical geometry
| Autor: | Jens Oberrath, Ralf Peter Brinkmann |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
Physics
Electron density Plasma parameters multipole resonance probe Operator (physics) eigenvalues Resonance FOS: Physical sciences eigenfunctions Dissipative operator Eigenfunction Condensed Matter Physics Plasma oscillation Physics - Plasma Physics Computational physics Plasma Physics (physics.plasm-ph) Engineering Physics::Plasma Physics Physics::Space Physics active plasma resonance spectroscopy resonance frequencies Multipole expansion impedance probe functional analytic |
| Zdroj: | Oberrath, J & Brinkmann, R P 2014, ' Active plasma resonance spectroscopy: Eigenfunction solutions in spherical geometry ' Plasma Sources Science and Technology, vol 23, no. 6, 065025 . DOI: 10.1088/0963-0252/23/6/065025 Oberrath, J & Brinkmann, R P 2014, ' Active plasma resonance spectroscopy: Eigenfunction solutions in spherical geometry ', Plasma Sources Science and Technology, vol. 23, no. 6, 065025 . https://doi.org/10.1088/0963-0252/23/6/065025 |
| DOI: | 10.1088/0963-0252/23/6/065025 |
| Popis: | The term active plasma resonance spectroscopy denotes a class of related techniques which utilize, for diagnostic purposes, the natural ability of plasmas to resonate on or near the electron plasma frequency ωpe: a radio frequent signal (in the GHz range) is coupled into the plasma via an antenna or probe, the spectral response is recorded, and a mathematical model is used to determine plasma parameters like the electron density. The mathematical model of an arbitrarily shaped probe-plasma system can be written in an abstract but very compact equation. It contains an appropriate operator, which describes the dynamical behavior and can be split into a conservative and a dissipative part. Based on the cold plasma model, this manuscript provides a solution strategy to determine the electrical admittance of a specific probe-plasma system derived from the abstract dynamical equation. Focusing on probes with a spherical-shaped probe tip the general admittance can be derived analytically. Therefore, the matrix representation of the resolvent of the dynamical operator is determined. This matrix representation is derived by means of the eigenfunctions and eigenvalues of the conservative operator. It can be shown that these eigenvalues represent the resonance frequencies of the probe-plasma system which are simply connected to the electron density. As an example, the result is applied to established probe designs: the spherical impedance probe and the multipole resonance probe. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|