Active plasma resonance spectroscopy: Eigenfunction solutions in spherical geometry

Research output: Journal contributionsJournal articlesResearchpeer-review

Authors

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.

Original languageEnglish
Article number065025
JournalPlasma Sources Science and Technology
Volume23
Issue number6
Number of pages10
ISSN0963-0252
DOIs
Publication statusPublished - 01.12.2014
Externally publishedYes

    Research areas

  • Engineering - active plasma resonance spectroscopy, eigenfunctions, eigenvalues, functional analytic, impedance probe, multipole resonance probe, resonance frequencies

Recently viewed

Publications

  1. Collaborative benchmarking of functional-structural root architecture models
  2. Wavelet functions for rejecting spurious values
  3. Finite element modeling of laser beam welding for residual stress calculation
  4. Internet research differs from research on internet users
  5. Frame-based Data Factorizations
  6. Strengthening the transformative impulse while mainstreaming real-world labs: Lessons learned from three years of BaWü-Labs
  7. Gerbil – Benchmarking named entity recognition and linking consistently
  8. Introduction: Habitual Action, Automaticity, and Control
  9. Practice and carryover effects when using small interaction devices
  10. Teaching Sustainable Development in a Sensory and Artful Way — Concepts, Methods, and Examples
  11. Influence of Mg content in Al alloys on processing characteristics and dynamically recrystallized microstructure of friction surfacing deposits
  12. Stimulating Computing
  13. Comparison of three methods of length compensation in a parallel kinematic and their equivalence conditions
  14. Can a Revision of the Universal Service Scope Result in Substantive Change?
  15. Modeling and simulation of the heterogenous material behavior in thermal-sprayed coatings
  16. Sliding Mode Control of an Inductive Power Transmission System with Maximum Efficiency
  17. Short-arc measurement and fitting based on the bidirectional prediction of observed data
  18. Graph-Based Early-Fusion for Flood Detection
  19. Short and long-term dominance of negative information in shaping public energy perceptions
  20. Deconstructing and reconstructing diversity in client-provider-relationships of social work
  21. A New Approach for Optimal Solving Cyclic and Non-Cyclic Bus Drvier Rostering Problems
  22. Vielfalt des Alterns - Differenz oder Integration?
  23. An introduction to sliding mode control for interdisciplinary education
  24. The role of place in shaping responsibility logics
  25. On the Equivalence of Transmission Problems in Nonoverlapping Domain Decomposition Methods for Quasilinear PDEs
  26. Executive function and Language Learning
  27. Evaluating A Teaching-Learning Sequence (TLS) About Acid-Base Reactions In Upper Secondary School
  28. Developing robust field survey protocols in landscape ecology
  29. Managing Global Production Networks
  30. Finding Datasets in Publications: The University of Paderborn Approach
  31. Operational integration of EMIS and ERP systems
  32. A model of a servo piezo mechanical hydraulic actuator and its regulation using repetitive control
  33. Factored MDPs for detecting topics of user sessions
  34. How secondary-school students deal with issues of sustainable development in class*