Investigation of the emission properties of a silicon blade-type cathode

Filippov, Sergey V.; Kolosko, Anatoly G.; Popov, E. O.; Demin, G. D.; Makhiboroda, M. A.; Djuzhev, N. A.; Gryazneva, Tatiana A.; Korotkov, S. Yu

doi:10.1088/1742-6596/1400/5/055011

Cited by 2 publications

(2 citation statements)

References 8 publications

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“…Tang et al investigated depolarization effects related to two parallel blade emitters [116]. Filippov et al have investigated straight and rounded blade emitters with several different cross-sectional profiles [117,118]. There remains scope for further work on the electrostatics of blade emitters, and for a more detailed review in due course.…”

Section: Blade-type Geometriesmentioning

confidence: 99%

Field emitter electrostatics: a review with special emphasis on modern high-precision finite-element modelling

Assis

Dall’Agnol

Forbes

2022

J. Phys.: Condens. Matter

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This review of the quantitative electrostatics of ﬁeld emitters, covering analytical, numerical and “ﬁtted formula” approaches, is thought to be the ﬁrst of its kind in the 100 years of the subject. The review relates chieﬂy to situations where emitters operate in an electronically ideal manner, and zero-current electrostatics is applicable. Terminology is carefully described and is “polarity independent”, so the review applies to both ﬁeld electron and ﬁeld ion emitters. It also applies more generally to charged, pointed electron-conductors—which exhibit the “electrostatic lightning-rod eﬀect”, but are poorly discussed in general electricity and magnetism literature. Modern electron-conductor electrostatics is an application of the chemical thermodynamics and statistical mechanics of electrons. In related theory, the primary role of classical electrostatic potentials (rather than ﬁelds) becomes apparent. Space and time limitations have meant the review cannot be comprehensive in both detail and scope. Rather, it focuses chieﬂy on the electrostatics of two common basic emitter forms: the needle-shaped emitters used in traditional projection technologies; and the post-shaped emitters often used in modelling large-area multi-emitter electron sources. In the post-on-plane context, we consider in detail both the electrostatics of the single post and the interaction between two identical posts that occurs as a result of electrostatic depolarization (often called “screening” or “shielding”). Core to the review are discussions of the “minimum domain dimensions” method for implementing eﬀective ﬁnite-element-method electrostatic simulations, and of the variant that leads to very precise estimates of dimensionless ﬁeld enhancement factors (error typically less than 0.001 % in simple situations where analytical comparisons exist). Brief outline discussions, and some core references, are given for each of many “related considerations” relevant to the electrostatic situations, methods and results described. Many areas of ﬁeld emitter electrostatics are suggested where further research and/or separate mini-reviews would probably be useful.

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Section: Blade-type Geometriesmentioning

confidence: 99%

Field emitter electrostatics: a review with special emphasis on modern high-precision finite-element modelling

Assis

Dall’Agnol

Forbes

2022

J. Phys.: Condens. Matter

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“…Shiffler and colleagues investigated depolarization effects related to two parallel blade emitters [112]. Filippov and senior colleagues have investigated straight and rounded blade emitters with several different cross-sectional profiles [113,114]. There remains scope for further work on the electrostatics of blade emitters, and for a more detailed review in due course.…”

Section: Blade-type Geometriesmentioning

confidence: 99%

Field emitter electrostatics: a review with special emphasis on modern high-precision finite-element modelling

Assis¹,

Dall’Agnol²,

Forbes³

2022

Preprint

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This review of the quantitative electrostatics of field emitters, covering analytical, numerical and "fitted formula" approaches, is thought the first of its kind in the 100 years of the subject. The review relates chiefly to situations where emitters operate in an electronically ideal manner, and zero-current electrostatics is applicable. Terminology is carefully described and is "polarity independent", so that the review applies to both field electron and field ion emitters. It also applies more generally to charged, pointed electron-conductors-which exhibit the "electrostatic lightning-rod effect", but are poorly discussed in general electricity and magnetism literature. Modern electron-conductor electrostatics is an application of the chemical thermodynamics and statistical mechanics of electrons. In related theory, the primary role of classical electrostatic potentials (rather than fields) becomes apparent. Space and time limitations have meant that the review cannot be comprehensive in both detail and scope. Rather, it focuses chiefly on the electrostatics of two common basic emitter forms: the needle-shaped emitters used in traditional projection technologies; and the post-shaped emitters often used in modelling large-area multi-emitter electron sources. In the post-on-plane context, we consider in detail both the electrostatics of the single post and the interaction between two identical posts that occurs as a result of electrostatic depolarization (often called "screening" or "shielding"). Core to the review are discussions of the "minimum domain dimensions" method for implementing effective finite-element-method electrostatic simulations, and of the variant of this that leads to very precise estimates of dimensionless field enhancement factors (error typically less than 0.001 % in simple situations where analytical comparisons exist). Brief outline discussions, and some core references, are given for each of many "related considerations" that are relevant to the electrostatic situations, methods and results described. Many areas of field emitter electrostatics are suggested where further research and/or separate mini-reviews would probably be useful.

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Investigation of the emission properties of a silicon blade-type cathode

Cited by 2 publications

References 8 publications

Field emitter electrostatics: a review with special emphasis on modern high-precision finite-element modelling

Field emitter electrostatics: a review with special emphasis on modern high-precision finite-element modelling

Field emitter electrostatics: a review with special emphasis on modern high-precision finite-element modelling

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