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Volumn 467, Issue 2134, 2011, Pages 2927-2947

Transmission coefficients for the exact triangular barrier: An exact general analytical theory that can replace Fowler & Nordheim's 1928 theory

Author keywords

Airy function approach; Exact triangular barrier; Fowler Nordheim theory; High electric field nanoscience; Transmission coefficient; Wave mechanical transmission

Indexed keywords

ELECTRIC FIELDS; TRANSMISSIONS;

EID: 80053893280     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2011.0025     Document Type: Article
Times cited : (102)

References (20)
  • 1
    • 57249094140 scopus 로고    scopus 로고
    • Range of validity of field emission equations
    • doi:10.1116/1.2978403
    • Bahm, A. S., Schwind, G. A. & Swanson, L. W. 2008 Range of validity of field emission equations. J. Vac. Sci. Technol. B 26, 2080-2084. (doi:10.1116/1.2978403)
    • (2008) J. Vac. Sci. Technol. B , vol.26 , pp. 2080-2084
    • Bahm, A.S.1    Schwind, G.A.2    Swanson, L.W.3
  • 2
    • 0003785801 scopus 로고    scopus 로고
    • BIPM Bureau International des Poids et Mesures, Sèvres, France: BIPM
    • BIPM (Bureau International des Poids et Mesures). 2006 The international system of units (SI). Sèvres, France: BIPM.
    • (2006) The International System of Units (SI)
  • 3
    • 45149096818 scopus 로고    scopus 로고
    • On the need for a tunneling pre-factor in Fowler-Nordheim tunneling theory
    • doi:10.1063/1.2937077
    • Forbes, R. G. 2008 On the need for a tunneling pre-factor in Fowler-Nordheim tunneling theory. J. Appl. Phys. 103, 114911. (doi:10.1063/1.2937077)
    • (2008) J. Appl. Phys. , vol.103 , pp. 114911
    • Forbes, R.G.1
  • 4
    • 0000928931 scopus 로고
    • Electron emission in intense electric fields
    • doi:10.1098/rspa.1928.0091
    • Fowler, R. H. & Nordheim, L. 1928 Electron emission in intense electric fields. Proc. R. Soc. Lond. A 119, 173-181. (doi:10.1098/rspa.1928. 0091)
    • (1928) Proc. R. Soc. Lond. A , vol.119 , pp. 173-181
    • Fowler, R.H.1    Nordheim, L.2
  • 5
    • 35949027881 scopus 로고
    • Field emission energy distribution (FEED)
    • doi:10.1103/RevModPhys.45.487
    • Gadzuk, J. W. & Plummer, E. W. 1973 Field emission energy distribution (FEED). Rev. Mod. Phys. 45, 487-598. (doi:10.1103/RevModPhys.45. 487)
    • (1973) Rev. Mod. Phys. , vol.45 , pp. 487-598
    • Gadzuk, J.W.1    Plummer, E.W.2
  • 6
    • 7944225383 scopus 로고
    • The effect on Love waves of heterogeneity in the lower layer
    • Jeffreys, H. 1928 The effect on Love waves of heterogeneity in the lower layer. Monthly Not. R. Astron. Soc. Geophys. Suppl. 2, 101-111.
    • (1928) Monthly Not. R. Astron. Soc. Geophys. Suppl. , vol.2 , pp. 101-111
    • Jeffreys, H.1
  • 7
    • 12744250027 scopus 로고
    • Asymptotic solutions of linear differential equations
    • Jeffreys, H. 1942 Asymptotic solutions of linear differential equations. Phil. Mag. 33, 451-456.
    • (1942) Phil. Mag. , vol.33 , pp. 451-456
    • Jeffreys, H.1
  • 8
    • 0012812122 scopus 로고    scopus 로고
    • Theory of field emission
    • ed. W. Zhu, ch, New York, NY: Wiley
    • Jensen, K. L. 2001 Theory of field emission. In Vacuum microelectronics (ed. W. Zhu), ch. 3. New York, NY: Wiley.
    • (2001) Vacuum Microelectronics , vol.3
    • Jensen, K.L.1
  • 9
    • 0141681215 scopus 로고    scopus 로고
    • Electron emission theory and its application: Fowler-Nordheim equation and beyond
    • doi:10.1116/1.1573664
    • Jensen, K. L. 2003 Electron emission theory and its application: Fowler-Nordheim equation and beyond. J. Vac. Sci. Technol. B 21, 1528-1544. (doi:10.1116/1.1573664)
    • (2003) J. Vac. Sci. Technol. B , vol.21 , pp. 1528-1544
    • Jensen, K.L.1
  • 10
    • 36749008001 scopus 로고    scopus 로고
    • Electron Emission Physics
    • DOI 10.1016/S1076-5670(07)49001-2, PII S1076567007490012, Electron Emission Physics
    • Jensen, K. L. 2007 Electron emission physics. Adv. Imaging Electron Phys. 149, 1-46. (doi:10.1016/S1076-5670 (07) 49001-2) (Pubitemid 350199528)
    • (2007) Advances in Imaging and Electron Physics , vol.149 , pp. 1-46
    • Jensen, K.L.1
  • 11
    • 0001464446 scopus 로고
    • Numerical simulation of field emission and tunneling: A comparison of the Wigner function and transmission coefficient approaches
    • doi:10.1063/1.352779
    • Jensen, K. L. & Ganguly, A. K. 1993 Numerical simulation of field emission and tunneling: a comparison of the Wigner function and transmission coefficient approaches. J. Appl. Phys. 73, 4409-4427. (doi:10.1063/1.352779)
    • (1993) J. Appl. Phys. , vol.73 , pp. 4409-4427
    • Jensen, K.L.1    Ganguly, A.K.2
  • 13
    • 0000774673 scopus 로고
    • A WKB-type approximation to the Schrödinger equation
    • doi:10.1103/PhysRev. 91.174
    • Miller, S. C. & Good, R. H. 1953 A WKB-type approximation to the Schrödinger equation. Phys. Rev. 91, 174-179. (doi:10.1103/PhysRev. 91.174)
    • (1953) Phys. Rev. , vol.91 , pp. 174-179
    • Miller, S.C.1    Good, R.H.2
  • 14
    • 36149019114 scopus 로고
    • Thermionic emission, field emission, and the transmission region
    • doi:10.1103/PhysRev. 102.1464
    • Murphy, E. L. & Good, R. H. 1956 Thermionic emission, field emission, and the transmission region. Phys. Rev. 102, 1464-1473. (doi:10.1103/PhysRev. 102.1464)
    • (1956) Phys. Rev. , vol.102 , pp. 1464-1473
    • Murphy, E.L.1    Good, R.H.2
  • 16
    • 0001064454 scopus 로고
    • The effect of the image force on the emission and reflexion of electrons by metals
    • doi:10.1098/rspa.1928.0222
    • Nordheim, L. W. 1928 The effect of the image force on the emission and reflexion of electrons by metals. Proc. R. Soc. Lond. A 121, 626-639. (doi:10.1098/rspa.1928.0222)
    • (1928) Proc. R. Soc. Lond. A , vol.121 , pp. 626-639
    • Nordheim, L.W.1
  • 17
    • 78651227376 scopus 로고    scopus 로고
    • Airy and related functions
    • eds F. W. J. Olver, D. W. Lozier, R. F. Boisvert & C. W. Clark, ch. 9. Cambridge, UK: Cambridge University Press
    • Olver, F. W. J. 2010 Airy and related functions. In NIST Handbook of Mathematical Functions (eds F. W. J. Olver, D. W. Lozier, R. F. Boisvert & C. W. Clark), ch. 9. Cambridge, UK: Cambridge University Press.
    • (2010) NIST Handbook of Mathematical Functions
    • Olver, F.W.J.1
  • 18
    • 78751493198 scopus 로고    scopus 로고
    • Strong field electron emission and the Fowler-Nordheim-Schottky theory
    • doi:10.1088/1751-8113/44/5/055302
    • Rokhlenko, A. 2011 Strong field electron emission and the Fowler-Nordheim-Schottky theory. J. Phys. A: Math. Theor. 44, 055302. (doi:10.1088/1751-8113/44/5/055302)
    • (2011) J. Phys. A: Math. Theor. , vol.44 , pp. 055302
    • Rokhlenko, A.1
  • 19
    • 0001186040 scopus 로고
    • Über den Einfluss von Strukturwirkungen, besonders der Thomsonschen Bildkraft, auf die Elektronenemission der Metalle
    • Schottky, W. 1914 Über den Einfluss von Strukturwirkungen, besonders der Thomsonschen Bildkraft, auf die Elektronenemission der Metalle. Physik. Zeitschr. 15, 872-878.
    • (1914) Physik. Zeitschr. , vol.15 , pp. 872-878
    • Schottky, W.1
  • 20
    • 0002867691 scopus 로고    scopus 로고
    • Review of ZrO/W Schottky cathode
    • ed. J. Orloff, ch. 1, 2nd edn. Boca Raton, FL: CRC Press
    • Swanson, L. W. & Schwind, G. A. 2009 Review of ZrO/W Schottky cathode. In Handbook of charged particle optics (ed. J. Orloff), ch. 1, 2nd edn. Boca Raton, FL: CRC Press.
    • (2009) Handbook of Charged Particle Optics
    • Swanson, L.W.1    Schwind, G.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.