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A new double Langmuir probe method accurately measures plasma density and electron temperature. This versatile technique accounts for sheath expansion, making it ideal for various plasma conditions and Hall thruster applications.

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Area of Science:

  • Plasma Physics
  • Diagnostic Techniques

Background:

  • Accurate plasma characterization is crucial for understanding and optimizing plasma devices.
  • Traditional Langmuir probe methods often face limitations with sheath expansion and probe size constraints.

Purpose of the Study:

  • To develop a versatile double Langmuir probe technique for precise plasma density and electron temperature measurements.
  • To overcome limitations of existing methods by incorporating analytical fits for ion current collection.

Main Methods:

  • Developed a double Langmuir probe technique using analytical fits to Laframboise's numerical results.
  • Derived coupled equations relating electrode potential, plasma potential, and probe current to applied voltage.
  • Employed numerical techniques to solve equations and determine plasma parameters.

Main Results:

  • Successfully determined electron temperature and plasma density by solving derived equations.
  • The method self-consistently accounts for sheath expansion effects.
  • Applied to xenon plasma in a Hall thruster, yielding densities of 1 × 10^12–1 × 10^17 m⁻³ and electron temperatures of 0.5–5.0 eV.

Conclusions:

  • The developed double Langmuir probe technique offers a versatile and accurate method for plasma diagnostics.
  • It is applicable to a wide range of plasma densities and low ion temperatures without strict probe dimension requirements.
  • Validated through experimental measurements in a Hall thruster plume.