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Title: Gas breakdown and its scaling law in microgaps with multiple concentric cathode protrusions

Abstract

This work reports gas breakdown characteristics in microgaps with multiple concentric protrusions on the cathode in the transition from the Townsend to the subnormal glow discharge regime, using a two-dimensional hydrodynamic model. The effects of the protrusion aspect ratio, height, and protrusion spacing on the breakdown voltage are investigated. The results show that when the protrusion spacing is small, the shielding effect can play a more important role in the breakdown voltage rather than the protrusion aspect ratio; the breakdown voltage is more sensitive to the protrusion height and can be assessed by the shortest gap distance. Increasing the protrusion spacing decreases the shielding effect, which lowers the breakdown voltage in both low- and high-pressure regimes. It is found that the breakdown scaling law still holds in geometrically similar microgaps with multiple cathode protrusions despite the electric field distortion.

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Michigan State Univ., East Lansing, MI (United States)
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC); US Air Force Office of Scientific Research (AFOSR)
OSTI Identifier:
1610600
Grant/Contract Number:  
SC0001939; FA9550-18-1-0062; FA9550-18-1-0061
Resource Type:
Accepted Manuscript
Journal Name:
Applied Physics Letters
Additional Journal Information:
Journal Volume: 114; Journal Issue: 1; Journal ID: ISSN 0003-6951
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; physics

Citation Formats

Fu, Yangyang, Zhang, Peng, Krek, Janez, and Verboncoeur, John P. Gas breakdown and its scaling law in microgaps with multiple concentric cathode protrusions. United States: N. p., 2019. Web. doi:10.1063/1.5077015.
Fu, Yangyang, Zhang, Peng, Krek, Janez, & Verboncoeur, John P. Gas breakdown and its scaling law in microgaps with multiple concentric cathode protrusions. United States. https://doi.org/10.1063/1.5077015
Fu, Yangyang, Zhang, Peng, Krek, Janez, and Verboncoeur, John P. Wed . "Gas breakdown and its scaling law in microgaps with multiple concentric cathode protrusions". United States. https://doi.org/10.1063/1.5077015. https://www.osti.gov/servlets/purl/1610600.
@article{osti_1610600,
title = {Gas breakdown and its scaling law in microgaps with multiple concentric cathode protrusions},
author = {Fu, Yangyang and Zhang, Peng and Krek, Janez and Verboncoeur, John P.},
abstractNote = {This work reports gas breakdown characteristics in microgaps with multiple concentric protrusions on the cathode in the transition from the Townsend to the subnormal glow discharge regime, using a two-dimensional hydrodynamic model. The effects of the protrusion aspect ratio, height, and protrusion spacing on the breakdown voltage are investigated. The results show that when the protrusion spacing is small, the shielding effect can play a more important role in the breakdown voltage rather than the protrusion aspect ratio; the breakdown voltage is more sensitive to the protrusion height and can be assessed by the shortest gap distance. Increasing the protrusion spacing decreases the shielding effect, which lowers the breakdown voltage in both low- and high-pressure regimes. It is found that the breakdown scaling law still holds in geometrically similar microgaps with multiple cathode protrusions despite the electric field distortion.},
doi = {10.1063/1.5077015},
journal = {Applied Physics Letters},
number = 1,
volume = 114,
place = {United States},
year = {Wed Jan 09 00:00:00 EST 2019},
month = {Wed Jan 09 00:00:00 EST 2019}
}

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Cited by: 27 works
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Works referenced in this record:

Plasma Science and Technology in the Limit of the Small: Microcavity Plasmas and Emerging Applications
journal, April 2013

  • Eden, J. G.; Park, S. -J.; Cho, J. H.
  • IEEE Transactions on Plasma Science, Vol. 41, Issue 4
  • DOI: 10.1109/TPS.2013.2253132

Two-dimensional simulations of the transition from Townsend to glow discharge and subnormal oscillations
journal, November 2003

  • Arslanbekov, Robert R.; Kolobov, Vladimir I.
  • Journal of Physics D: Applied Physics, Vol. 36, Issue 23
  • DOI: 10.1088/0022-3727/36/23/020

Hollow cathode discharges: Volt-ampere characteristics and space-time resolved structure of the discharge
journal, April 2009


On the possibility of long path breakdown affecting the Paschen curves for microdischarges
journal, May 2012


Computational simulation of atmospheric pressure discharges with the needle-array electrode
journal, July 2018

  • Zhang, Jiao; Wang, Yanhui; Wang, Dezhen
  • Physics of Plasmas, Vol. 25, Issue 7
  • DOI: 10.1063/1.5029266

Microplasmas and applications
journal, January 2006

  • Becker, K. H.; Schoenbach, K. H.; Eden, J. G.
  • Journal of Physics D: Applied Physics, Vol. 39, Issue 3
  • DOI: 10.1088/0022-3727/39/3/R01

Gas breakdown in atmospheric pressure microgaps with a surface protrusion on the cathode
journal, June 2018

  • Fu, Yangyang; Zhang, Peng; Verboncoeur, John P.
  • Applied Physics Letters, Vol. 112, Issue 25
  • DOI: 10.1063/1.5037688

Laser printing of silicon nanoparticles with resonant optical electric and magnetic responses
journal, March 2014

  • Zywietz, Urs; Evlyukhin, Andrey B.; Reinhardt, Carsten
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms4402

An analytical formulation for the modified Paschen’s curve
journal, October 2010

  • Tirumala, Rakshit; Go, David B.
  • Applied Physics Letters, Vol. 97, Issue 15
  • DOI: 10.1063/1.3497231

Low-pressure gas breakdown in longitudinal combined electric fields
journal, October 2010


Solving the Boltzmann equation to obtain electron transport coefficients and rate coefficients for fluid models
journal, October 2005


Foundations of DC plasma sources
journal, November 2017

  • Gudmundsson, Jon Tomas; Hecimovic, Ante
  • Plasma Sources Science and Technology, Vol. 26, Issue 12
  • DOI: 10.1088/1361-6595/aa940d

Fluid modeling of a high-voltage nanosecond pulsed xenon microdischarge
journal, July 2016

  • Levko, Dmitry; Raja, Laxminarayan L.
  • Physics of Plasmas, Vol. 23, Issue 7
  • DOI: 10.1063/1.4959172

Breakdown, scaling and volt–ampere characteristics of low current micro-discharges
journal, September 2008


Gas Discharge Physics
book, January 1991


Global model for high power microwave breakdown at high pressure in air
journal, April 2009


Breakdown voltage reduction by field emission in multi-walled carbon nanotubes based ionization gas sensor
journal, March 2014

  • Saheed, M. Shuaib M.; Muti Mohamed, Norani; Arif Burhanudin, Zainal
  • Applied Physics Letters, Vol. 104, Issue 12
  • DOI: 10.1063/1.4869758

Field enhancement factor dependence on electric field and implications on microscale gas breakdown: Theory and experimental interpretation
journal, December 2015


Electric field enhancement due to a saw-tooth asperity in a channel and implications on microscale gas breakdown
journal, September 2014


Direct current breakdown in gases for complex geometries from high vacuum to atmospheric pressure
journal, June 2013


Controlling Electromagnetic Fields
journal, June 2006

  • Pendry, J. B.; Schurig, D.; Smith, D. R.
  • Science, Vol. 312, Issue 5781, p. 1780-1782
  • DOI: 10.1126/science.1125907

Effective Discharge Area of Nonequilibrium DC Discharges
journal, August 2008

  • Skoro, N.; Maric, D.; Petrovic, Z. L.
  • IEEE Transactions on Plasma Science, Vol. 36, Issue 4
  • DOI: 10.1109/TPS.2008.917952

Scalings and universality for high-frequency excited high-pressure argon microplasma
journal, April 2017


Onset or breakdown voltage reduction by electrode surface roughness in air and SF 6
journal, July 1976


Pre-breakdown evaluation of gas discharge mechanisms in microgaps
journal, April 2013

  • Semnani, Abbas; Venkattraman, Ayyaswamy; Alexeenko, Alina A.
  • Applied Physics Letters, Vol. 102, Issue 17
  • DOI: 10.1063/1.4803179

Laser jetting of femto-liter metal droplets for high resolution 3D printed structures
journal, November 2015

  • Zenou, M.; Sa’ar, A.; Kotler, Z.
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep17265

Cathode fall thickness of abnormal glow discharges between parallel-plane electrodes in different radii at low pressure
journal, February 2015

  • Fu, Yangyang; Luo, Haiyun; Zou, Xiaobing
  • Physics of Plasmas, Vol. 22, Issue 2
  • DOI: 10.1063/1.4907660

Cold-cathode discharges and breakdown in argon: surface and gas phase production of secondary electrons
journal, January 1999


Breakdown of atmospheric pressure microgaps at high excitation frequencies
journal, May 2015

  • Levko, Dmitry; Raja, Laxminarayan L.
  • Journal of Applied Physics, Vol. 117, Issue 17
  • DOI: 10.1063/1.4919914

A universal theory for gas breakdown from microscale to the classical Paschen law
journal, November 2017

  • Loveless, Amanda M.; Garner, Allen L.
  • Physics of Plasmas, Vol. 24, Issue 11
  • DOI: 10.1063/1.5004654

Rapid Breakdown Mechanisms of Open Air Nanosecond Dielectric Barrier Discharges
journal, August 2011


Validity of the similarity law for the glow discharges in non-plane-parallel gaps
journal, October 2014


Effect of distribution of electric field on low-pressure gas breakdown
journal, February 2017

  • Fu, Yangyang; Yang, Shuo; Zou, Xiaobing
  • Physics of Plasmas, Vol. 24, Issue 2
  • DOI: 10.1063/1.4976848

A mathematical model of the modified Paschen’s curve for breakdown in microscale gaps
journal, May 2010

  • Go, David B.; Pohlman, Daniel A.
  • Journal of Applied Physics, Vol. 107, Issue 10
  • DOI: 10.1063/1.3380855

Scaling laws for gas breakdown for nanoscale to microscale gaps at atmospheric pressure
journal, June 2016

  • Loveless, Amanda M.; Garner, Allen L.
  • Applied Physics Letters, Vol. 108, Issue 23
  • DOI: 10.1063/1.4953202

Low-pressure gas breakdown in uniform dc electric field
journal, October 2000

  • Lisovskiy, V. A.; Yakovin, S. D.; Yegorenkov, V. D.
  • Journal of Physics D: Applied Physics, Vol. 33, Issue 21
  • DOI: 10.1088/0022-3727/33/21/310

Deviations from the Paschen's law at short gap distances from 100 nm to 10  μ m in air and nitrogen
journal, September 2014

  • Peschot, A.; Bonifaci, N.; Lesaint, O.
  • Applied Physics Letters, Vol. 105, Issue 12
  • DOI: 10.1063/1.4895630

20 years of microplasma research: a status report
journal, February 2016


Gas discharge physics
journal, August 1993


Electrode roughness effects on the breakdown of air-insulated apparatus
journal, January 1998

  • Mahdy, A. M.; Anis, H. I.; Ward, S. A.
  • IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 5, Issue 4
  • DOI: 10.1109/94.708280

Characterization of hollow cathode and parallel plate microplasmas: scaling and breakdown
journal, March 2011


Extended scaling and Paschen law for micro-sized radiofrequency plasma breakdown
journal, February 2017

  • Lee, Min Uk; Lee, Jimo; Lee, Jae Koo
  • Plasma Sources Science and Technology, Vol. 26, Issue 3
  • DOI: 10.1088/1361-6595/aa52a8

The role of the field emission effect in direct-current argon discharges for the gaps ranging from 1 to 100 µ m
journal, November 2012

  • Radmilović-Radjenović, M.; Matejčik, Š; Klas, M.
  • Journal of Physics D: Applied Physics, Vol. 46, Issue 1
  • DOI: 10.1088/0022-3727/46/1/015302

Interchannel optical coupling within arrays of linear microplasmas generated in 25–200μm wide glass channels
journal, December 2010

  • Sung, S. H.; Hwang, I. C.; Park, S. -J.
  • Applied Physics Letters, Vol. 97, Issue 23
  • DOI: 10.1063/1.3505498

Is the negative glow plasma of a direct current glow discharge negatively charged?
journal, February 2015

  • Bogdanov, E. A.; Demidov, V. I.; Kudryavtsev, A. A.
  • Physics of Plasmas, Vol. 22, Issue 2
  • DOI: 10.1063/1.4907192

Excitation and breakdown of Ar at very high ratios of electric field to gas density
journal, September 1988


Intersection of Paschen's curves for argon
journal, September 2016

  • Fu, Yangyang; Yang, Shuo; Zou, Xiaobing
  • Physics of Plasmas, Vol. 23, Issue 9
  • DOI: 10.1063/1.4962673

Scaling law for direct current field emission-driven microscale gas breakdown
journal, December 2012

  • Venkattraman, A.; Alexeenko, A. A.
  • Physics of Plasmas, Vol. 19, Issue 12
  • DOI: 10.1063/1.4773399

Electricity in Gases
journal, August 1956


Frequency response of atmospheric pressure gas breakdown in micro/nanogaps
journal, August 2013

  • Semnani, Abbas; Venkattraman, Ayyaswamy; Alexeenko, Alina A.
  • Applied Physics Letters, Vol. 103, Issue 6
  • DOI: 10.1063/1.4817978

Effect of electrode surface roughness on breakdown in SF 6 -N 2 and SF 6 -CO 2 gas mixtures
journal, November 1993


Microscale gas breakdown: ion-enhanced field emission and the modified Paschen’s curve
journal, November 2014


Evaluating microgap breakdown mode transition with electric field non-uniformity
journal, September 2018

  • Fu, Yangyang; Krek, Janez; Zhang, Peng
  • Plasma Sources Science and Technology, Vol. 27, Issue 9
  • DOI: 10.1088/1361-6595/aadf56

Paschen's curve in microgaps with an electrode surface protrusion
journal, July 2018

  • Fu, Yangyang; Zhang, Peng; Verboncoeur, John P.
  • Applied Physics Letters, Vol. 113, Issue 5
  • DOI: 10.1063/1.5045182

The effect of surface roughness on breakdown in SF 6
journal, September 1975


Effect of surface protrusion on plasma sheath properties in atmospheric microdischarges
journal, January 2018

  • Fu, Yangyang; Zhang, Peng; Verboncoeur, John P.
  • Physics of Plasmas, Vol. 25, Issue 1
  • DOI: 10.1063/1.5011768

Electric field distribution and current emission in a miniaturized geometrical diode
journal, June 2017

  • Lin, Jinpu; Wong, Patrick Y.; Yang, Penglu
  • Journal of Applied Physics, Vol. 121, Issue 24
  • DOI: 10.1063/1.4987127

Plasma fluid modeling of microwave streamers: Approximations and accuracy
journal, November 2017

  • Arcese, Emanuele; Rogier, François; Boeuf, Jean-Pierre
  • Physics of Plasmas, Vol. 24, Issue 11
  • DOI: 10.1063/1.5006651

Secondary electron emission of carbonaceous dust particles
journal, August 2006


Generalization of Microdischarge Scaling Laws for All Gases at Atmospheric Pressure
journal, April 2017

  • Loveless, Amanda M.; Garner, Allen L.
  • IEEE Transactions on Plasma Science, Vol. 45, Issue 4
  • DOI: 10.1109/TPS.2017.2647988

Electricity in Gases
journal, July 1915


Effect of electrode surface roughness and dielectric coating on breakdown characteristics of high pressure CO 2 and N 2 in a quasi-uniform electric field
journal, January 2008

  • Hikita, Masayuki; Ohtsuka, Shinya; Yokoyama, Nobuhiro
  • IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 15, Issue 1
  • DOI: 10.1109/T-DEI.2008.4446757

Simulation of dc atmospheric pressure argon micro glow-discharge
journal, August 2006

  • Farouk, Tanvir; Farouk, Bakhtier; Staack, David
  • Plasma Sources Science and Technology, Vol. 15, Issue 4
  • DOI: 10.1088/0963-0252/15/4/012

Electricity in Gases
journal, August 1915


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Electrical breakdown from macro to micro/nano scales: a tutorial and a review of the state of the art
journal, February 2020

  • Fu, Yangyang; Zhang, Peng; Verboncoeur, John P.
  • Plasma Research Express, Vol. 2, Issue 1
  • DOI: 10.1088/2516-1067/ab6c84

Derivation of a current-voltage-type plot beyond the Fowler-Nordheim one: The role of the voltage-dependency on the emission area
journal, August 2019

  • de Assis, Thiago A.; Dall’Agnol, Fernando F.
  • Journal of Applied Physics, Vol. 126, Issue 7
  • DOI: 10.1063/1.5116594

Transition of low-temperature plasma similarity laws from low to high ionization degree regimes
journal, September 2019

  • Fu, Yangyang; Krek, Janez; Wen, Deqi
  • Plasma Sources Science and Technology, Vol. 28, Issue 9
  • DOI: 10.1088/1361-6595/ab3c82

Experimental Study of Visual Corona under Aeronautic Pressure Conditions Using Low-Cost Imaging Sensors
journal, January 2020

  • Riba, Jordi-Roger; Gómez-Pau, Álvaro; Moreno-Eguilaz, Manuel
  • Sensors, Vol. 20, Issue 2
  • DOI: 10.3390/s20020411

Study of scaling law for particle-in-cell/Monte Carlo simulation of low-temperature magnetized plasma for electric propulsion
journal, August 2019

  • Li, Jian; Wu, Jianjun; Zhang, Yu
  • Journal of Physics D: Applied Physics, Vol. 52, Issue 45
  • DOI: 10.1088/1361-6463/ab394b

Experimental Study of Visual Corona under Aeronautic Pressure Conditions Using Low-Cost Imaging Sensors
journal, January 2020

  • Riba, Jordi-Roger; Gómez-Pau, Álvaro; Moreno-Eguilaz, Manuel
  • Sensors, Vol. 20, Issue 2
  • DOI: 10.3390/s20020411