2010
DOI: 10.1063/1.3497231
|View full text |Cite
|
Sign up to set email alerts
|

An analytical formulation for the modified Paschen’s curve

Abstract: The modified Paschen’s curve describes the gaseous breakdown potential (voltage) in microscale gaps, when deviations from the traditional Paschen’s curve occur [F. Paschen, Ann. Phys. 273, 69 (1889)]. The deviation is due to ion-enhanced field emission that occurs in the high electric field of microgaps and acts as an additional cathode electron source. The present work derives an analytical formulation for the effect of ion-enhanced field emission and the modified Paschen’s curve that uses a consistent, singl… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1

Citation Types

2
61
0
1

Year Published

2011
2011
2019
2019

Publication Types

Select...
3
2
1
1

Relationship

0
7

Authors

Journals

citations
Cited by 106 publications
(64 citation statements)
references
References 14 publications
2
61
0
1
Order By: Relevance
“…2 below pd~2 Torr.cm. Recent experiments, however, have shown that the breakdown voltage decreases monotonously for small gaps [19][20][21][22][23][24] that are less than 10 μm in 1 Atmosphere in air. The cause of this behavior is attributed to ion-enhanced field emission that occurs as the positive ions approach the negative electrode (cathode).…”
Section: Fig 2: Paschen Curves For 5 Different Gases Of Importance Imentioning
confidence: 99%
See 2 more Smart Citations
“…2 below pd~2 Torr.cm. Recent experiments, however, have shown that the breakdown voltage decreases monotonously for small gaps [19][20][21][22][23][24] that are less than 10 μm in 1 Atmosphere in air. The cause of this behavior is attributed to ion-enhanced field emission that occurs as the positive ions approach the negative electrode (cathode).…”
Section: Fig 2: Paschen Curves For 5 Different Gases Of Importance Imentioning
confidence: 99%
“…Thus, the fieldassisted emission becomes the primary ionization mechanism at small gap [23,24]. Tirumala and Go [22] used an approach that modified the existing Paschen's law to accommodate the field-emission. They added an electron emission coefficient ( ) to the existing equation to obtain a modified Paschen's law (eq.…”
Section: Fig 2: Paschen Curves For 5 Different Gases Of Importance Imentioning
confidence: 99%
See 1 more Smart Citation
“…Recently, two mathematical models 5,14 for the modified Paschen law have been presented. The general form of both models is given by…”
mentioning
confidence: 99%
“…While the first model 5 uses a fitting parameter K, the second model 14 has no uncertain parameters but makes assumptions with regard to the location of ion creation and mobility. In this work, instead of approximate theoretical considerations, we use numerical simulations to obtain estimates of c 0 and its dependence on applied voltage for a 3 lm nitrogen gap corresponding to experimental setup described below.…”
mentioning
confidence: 99%