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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2009-06-13
Using a Re-Entrant Microwave Resonator to Measure and Model the Dielectric Breakdown Electric Field of Gases
By
Stephen K. Remillard,

    Prof. Stephen K. Remillard

    Department of Physics

    Hope College

    USA

    Homepage

Alejandro Hardaway,

    Dr. Alejandro Hardaway

    Department of Physics

    Hope College

    USA

    Homepage

B. Mork,

    Dr. B. Mork

    Department of Chemistry

    Hope College

    USA

    Homepage

Jake Gilliland,

    Dr. Jake Gilliland

    Department of Chemistry

    Hope College

    USA

    Homepage

Joseph Gibbs

    Dr. Joseph Gibbs

    Department of Chemistry

    Hope College

    USA

    Homepage

Progress In Electromagnetics Research B, Vol. 15, 175-195, 2009
doi:10.2528/PIERB09041706 | Google Scholar

Abstract
A gas will breakdown in a high electric field and the mechanisms of this breakdown at DC and high frequency fields have been an object of study for the past century. This paper describes a method to induce breakdown in a uniform microwave field using a reentrant sub-quarter wave resonator. Slater's theorem is used to determine the magnitude of the threshold electric field at which breakdown occurs. The breakdown threshold is modeled using the effective electric field concept, showing that breakdown varies with pressure as Ebd=CPm (1+(ω/ B·P)2)1/2 where P is the pressure, B and C are fit parameters, and m was found experimentally to equal 1/2. This function exhibits a minimum at Pmin=ω/B. Breakdown data from the literature for nitrogen at various microwave frequencies were found to exhibit breakdown minima at the pressure predicted by our own determination of B, further validating the model.
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Citation
Stephen K. Remillard, Alejandro Hardaway, B. Mork, Jake Gilliland, and Joseph Gibbs, "Using a Re-Entrant Microwave Resonator to Measure and Model the Dielectric Breakdown Electric Field of Gases," Progress In Electromagnetics Research B, Vol. 15, 175-195, 2009.
doi:10.2528/PIERB09041706
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