Top

Published in:

2020 | OriginalPaper | Chapter

1. Introduction

Authors : Vladimir Danilov, Roman Gaydukov, Vadim Kretov

Published in: Mathematical Modeling of Emission in Small-Size Cathode

Publisher: Springer Singapore

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

In this chapter, a general description of the mathematical model of heat transfer and field emission is presented.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

next chapter Physical Basis for Field Emission

The photoconductivity is the effect of an increase in the electric conductivity of a semiconductor under the action of electromagnetic radiation.

Becquerel, A.E.: Mémoire sur les effets électriques produits sous l’influence des rayons solaires. Comptes Rendus 9, 561–567 (1839)

Bonch-Bruevich, V.L., Kalashnikov, S.G.: Semiconductor Physics. Nauka, Moscow (1990). (in Russian)

Bugaev, S.P., Litvinov, E.A., Mesyats, G.A., Proskurovskii, D.I.: Explosive emission of electrons. Sov. Phys. Uspekhi 18, 51–61 (1975)ADSCrossRef

Cathey, D.A.: Field-emission displays. Inf. Disp. 16 (1995)

Christov, S.G.: General theory of electron emission from metals. Phys. Status Ssolidi (B) 17(1), 11–26 (1966)ADSCrossRef

Danilov, V.G.: On the relation between the Maslov-Whitham method and the weak asymptotics method. In: Kamiński, A., Oberguggenberger, M., Pilipović, S. (eds.) Linear and Non-Linear Theory of Generalized Functions and its Applications, vol. 88, pp. 55–65. Banach Center Publications, Warsaw (2010)CrossRef

Danilov, V.G., Omel’yanov, G.A., Radkevich, E.V.: Asymptotic behavior of the solution of a phase field system, and a modified stefan problem. Differ. Equ. 31(3), 446–454 (1995)MathSciNetMATH

Danilov, V.G., Omel’yanov, G.A., Radkevich, E.V.: Hugoniot-type conditions and weak solutions to the phase-field system. Eur. J. Appl. Math. 10, 55–77 (1999)MathSciNetCrossRef

Danilov, V.G., Omel’yanov, G.A., Shelkovich, V.M.: Weak asymptotics method and interaction of nonlinear waves. Am. Math. Soc. Transl.: 2 208, 33–163. Providence: American Mathematical Society (2003)

10.

Dyzhev, N.A., Gudkova, S.A., Makhiboroda, M.A., Fedirko V, A.: Investigation of emussion properties of silicon cathodes of different geometry. In: Bykov, D.V. (Ed.) Vacuum science and Technics, Material of XII Scientific-Technical Conference with Participation of Foreign Specialists, pp. 221–224. MIEM, Moscow (2005). (in Russian)

11.

Egorov, N., Sheshin, E.: Field Emission Electronics. Springer (2017)

12.

Elster, G.: On the electricity of flames. Annalen of Physik und Chemie 3(16), 193–222 (1882)ADSCrossRef

13.

Elster, G.: On the generation of electricity by the contact of gases and incandescent bodies. Annalen of Physik und Chemie 3(19), 588–624 (1883)ADSCrossRef

14.

Elster, G.: On the unipolar conductivity of heated gases. Annalen of Physik und Chemie 3(26), 1–9 (1885)ADSCrossRef

15.

Elster, G.: On the electrification of gases by incandescent bodies. Annalen of Physik und Chemie 3(31), 109–127 (1887)ADSCrossRef

16.

Elster, G.: On the generation of electricity by contact of rarefied gas with electrically heated wires. Annalen of Physik und Chemie 3(37), 315–329 (1889)ADSCrossRef

17.

Flügge, S. (ed.): Electron-Emission and Gas Discharges I, Encyclopedia of Physics, vol. XXI. Springer, Berlin (1956)

18.

Fowler, R.H., Nordheim, L.: Electron emission in intense electric fields. Proc. Royal Soc. Lond. Ser. A 119(781), 173–181 (1928)ADSCrossRef

19.

Furcey, G.: Field Emission in Vacuum Microelectronics. Springer (2005)

20.

Goldstein, E.: On electric conduction in vacuum. Annalen der Physik und Chemie 3(24), 79–92 (1885)ADSCrossRef

21.

Grundmann, M.: The Physics of Semiconductors: An Introduction Including Nanophysics and Applications. Springer (2016)

22.

Guthrie, F.: On a relation between heat and static electricity. Philos. Mag. 46(306), 257–266 (1873)CrossRef

23.

Hertz, H.: Ueber einen einfluss des ultravioletten lichtes auf die electrische entladung. Annalen der Physik 267(8), 983–1000 (1887)ADSCrossRef

24.

Hittorf, W.: On electrical conduction of gases. Annalen of Physik und Chemie 2:136, 1–31, 197–234 (1869)

25.

Hittorf, W.: On electrical conduction of gases. Annalen of Physik und Chemie Jubalband 430–445 (1874)

26.

Hittorf, W.: On electrical conduction of gases. Annalen of Physik und Chemie 3(7), 553–631 (1879)ADSCrossRef

27.

Hittorf, W.: On electrical conduction of gases. Annalen of Physik und Chemie 3(20), 705–775 (1883)ADSCrossRef

28.

Hittorf, W.: On electrical conduction of gases. Annalen of Physik und Chemie 3(21), 90–139 (1884)ADSCrossRef

29.

Hofmann, P.: Solid State Physics: An Introduction. Wiley (2015)

30.

Lee, T.H.: T-f theory of electron emission in high-current arcs. J. Appl. Phys. 30(2), 166–171 (1959)ADSCrossRef

31.

Mironov, V.L.: Fundamentals of Scanning Probe Microscopy. Institute for Physics of Microstructures RAS, Nizhniy Novgorod (2004)

32.

Murphy, E.L., Good, R.H.: Thermionic emission, field emission, and the transition region. Phys. Rev. 102(6), 1464–1473 (1956)ADSCrossRef

33.

Nottingham, W.B.: Remarks on energy losses attending thermionic emission of electrons from metals. Phys. Rev. (1941)

34.

Paulini, J., Klein, T., Simon, G.: Thermo-field emission and the Nottingham effect. J. Phys. D: Appl. Phys. 26(8), 1310–1315 (1993)ADSCrossRef

35.

Richardson, O.: Thermionic phenomena and the laws which govern them. In: Nobel Lecture, pp. 224–236. Stockholm (1929)

36.

Schottky, W.: Über kalte und warme elektronenentladungen. Zeitschrift für Physik 14(1), 63–106 (1923)ADSCrossRef

37.

Shalimova, K.V.: Physics of Semiconductors. Energoatomizdat, Moscow (1985). (in Russian)

38.

Smith, R.T.: Electronics developments for field-emission displays. Inf. Display 14(2), 12 (1998)MathSciNet

39.

Smith, W.: Effect of light on selenium during the passage of an electric current. Nature 7(173), 303 (1873)CrossRef

40.

Stilbans, L.S.: Physics Semiconductors. Soviet Radio, Moscow (1967). (in Russian)

41.

Stoletow, A.: Suite des recherches actino-electriques. Comptes Rendus CVII 91 (1888)

42.

Stoletow, A.: Sur les courants actino-electriqies au travers detair. Comptes Rendus CVI 1593 (1888)

43.

Stoletow, A.: Sur une sorte de courants electriques provoques par les rayons ultraviolets. Comptes Rendus CVI 1149 (1888)

44.

Stratton, R.: Theory of field emission from semiconductors. Phys. Rev. 125(1), 67–82 (1962)ADSMathSciNetCrossRef

Title: Introduction
Authors: Vladimir Danilov
Roman Gaydukov
Vadim Kretov
Publisher: Springer Singapore
Book: Mathematical Modeling of Emission in Small-Size Cathode
Print ISBN: 978-981-15-0194-4

Electronic ISBN: 978-981-15-0195-1

Copyright Year: 2020
DOI: https://doi.org/10.1007/978-981-15-0195-1_1

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"

Premium Partner