Generalized analytical solution and study of conductive ellipsoidal field emitters

IEEE Transactions on Electron Devices

Volumn 57, Issue 3, 2010, Pages 712-719

  Kusne, A Gilad ^a   Lambeth, David N ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Ellipsoid emitter; Field emission; Field emission displays; Spheroidal emitter

Indexed keywords

ANALYTICAL SOLUTIONS; CARTESIAN COORDINATE; ELLIPSOID EMITTER; FIELD EMITTER; FIELD ENHANCEMENT; FIELD-EMISSION CURRENT DENSITY; RADIUS RATIO; SURFACE LOCATION; TOTAL CURRENT;

ASPECT RATIO; ELECTRIC FIELDS; FIELD EMISSION;

FIELD EMISSION DISPLAYS;

EID: 77649187127     PISSN: 00189383     EISSN: None     Source Type: Journal    
DOI: 10.1109/TED.2009.2039262     Document Type: Article

References (25)

1. R. H. Fowler and L. Nordheim, "Electron emission in intense fields," Proc. R. Soc. Lond.: Ser. A, vol. 119, no. 781, pp. 173-181, May 1928.
2. L. W. Nordheim, "The effect of the image force on the emission and reflection of electrons by metals," Proc. R. Soc. Lond.: Ser. A, vol. 121, no. 788, pp. 626-639, Dec. 1928.
3. C. Mann, "Nanotech on display," MIT: TechnologyReview.com, 2004.
4. A. A. Talin, K. A. Dean, and J. E. Jaskie, "Field emission displays: A critical review," Solid State Electron., vol. 45, no. 6, pp. 963-976, Jun. 2001.
5. Q. H. Wang, A. A. Setlur, J. M. Lauerhaas, J. Y. Dai, E. W. Seelig, and R. P. H. Chang, "A nanotube-based field-emission flat panel display," Appl. Phys. Lett., vol. 72, no. 22, pp. 2912-2913, Jun. 1998.
6. W. B. Choi, D. S. Chung, and J. H. Kang, "Fully sealed, high-brightness carbon-nanotube field-emission display," Appl. Phys. Lett., vol. 75, no. 20, pp. 3129-3131, Nov. 1999.
7. R. H. Good, Jr. and E. W. Muller, "Field emission," in Encyclopedia of Physics. Berlin, Germany: Springer-Verlag, 1956, pp. 176-231.
8. L. Zhang, "Application of field emission in prolate-spheroidal coordinate in heat-assisted magnetic probe recording," Phys. B, vol. 388, no. 1/2, pp. 380-383, Jan. 2007.
9. L. Zhang, J. A. Bain, J.-G. Zhu, L. Abelmann, and T. Onoue, "The effect of external magnetic field on mark size in heat-assisted probe recording on CoNi/Pt multilayers," J. Appl. Phys., vol. 99, no. 2, pp. 023 902-1-023 902-5, Jan. 2006.
10. L. Zhang, J. A. Bain, J.-G. Zhu, L. Abelmann, and T. Onoue, "Characterization of heat-assisted magnetic probe recording on CoNi/Pt multilayers," J. Magn. Magn. Mater., vol. 305, no. 1, pp. 16-23, Oct. 2006.
11. H. C. Lee and R. S. Huang, "A study on field-emission array pressure sensors," Sens. Actuators A, Phys., vol. 34, no. 2, pp. 137-154, Aug. 1992.
12. D. Nicolaescu, "Modeling of the field emitter triode (FET) as a displacement/pressure sensor," Appl. Surf. Sci., vol. 87/88, pp. 61-68, Mar. 1995.
13. X. Wang, J. Zhou, J. Song, J. Liu, N. Xu, and Z. Wang, "Piezoelectric field effect transistor and nanoforce sensor based on a single ZnO nanowire," Nano Lett., vol. 6, no. 12, pp. 2768-2772, Dec. 2006.
14. D. L. Jaeger, "Electron emission from low dimensional structures," Ph.D. dissertation, Mater. Sci. Eng., North Carolina State Univ., Raleigh, NC, 2006.
15. L. Pan, T. E. Sullivan, V. J. Peridier, P. H. Cutler, and N. M. Miskovsky, "Three-dimensional electrostatic potential, and potential-energy barrier, near a tip-base junction," Appl. Phys. Lett., vol. 65, no. 17, pp. 2151-2153, Oct. 1994.
16. J. D. Zuber, K. L. Jensen, and T. E. Sullivan, "An analytical solution for microtip field emission current and effective emission area," J. Appl. Phys., vol. 91, no. 11, pp. 9379-9384, Jun. 2002.
17. H. G. Kosmahl, "Analytic evaluation of field emission enhancement factors for ellipsoidal cones and elliptic cross-section wedges," IEEE Trans. Electron Devices, vol. 38, no. 6, pp. 1534-1537, Jun. 1991.
18. D. A. Kirkpatrick, A. Mankofsky, and K. T. Tsang, "Analysis of field emission from three-dimensional structures," Appl. Phys. Lett., vol. 60, no. 17, pp. 2065-2067, Apr. 1992.
19. E. G. Pogorelov, A. I. Zhbanov, and Y.-C. Chang, "Field enhancement factor and field emission from a hemi-ellipsoidal metallic needle," Ultramicroscopy, vol. 109, no. 4, pp. 373-378, Mar. 2009.
20. J. C.-E. Sten, "Ellipsoidal harmonics and their application in electrostatics," J. Electrostat., vol. 64, no. 10, pp. 647-654, Sep. 2006.
21. J. H. B. Deane and R. G. Forbes, "The formal derivation of an exact series expansion for the principal Schottky-Nordheim barrier function v, using the Gauss hypergeometric differential equation," J. Phys. A: Math. Theor., vol. 41, no. 39, p. 395 301, Oct. 2008.
22. P. H. Cutler, J. He, N. M. Miskovsky, T. E. Sullivan, and B. Weiss, "Theory of electron emission in high fields from atomically sharp emitters: Validity of the Fowler-Nordheim equation," J. Vac. Sci. Technol. B, vol. 11, no. 2, pp. 387-391, Mar. 1993.
23. O. Gröning, "Field emission properties of carbon thin films and carbon nanotubes," Ph.D. dissertation, Univ. Freiburg, Freiburg, Germany, 1999.
24. E. W. Hobson, The Theory of Spherical and Ellipsoidal Harmonics. New York: Chelsea, 1955.
25. R. Garmier and J.-P. Barriot, "Ellipsoidal harmonic expansions of the gravitational potential: Theory and application," Celestial Mech. Dynamical Astronomy, vol. 79, no. 4, pp. 235-275, Apr. 2001.