Output details
13 - Electrical and Electronic Engineering, Metallurgy and Materials
University of Surrey
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Article title
The formal derivation of an exact series expansion for the principal Schottky-Nordheim barrier function v, using the Gauss hypergeometric differential equation
Type
D - Journal article
Title of journal
Journal of Physics A: Mathematical and Theoretical
Article number
-
Volume number
41
Issue number
39
First page of article
395301
ISSN of journal
1751-8121
Year of publication
2008
URL
-
Number of additional authors
-
Additional information
A simple approximation (Forbes 2006) for a well-known function v in orthodox field electron emission theory. The 2006 approximation is superior to previous approximations of equivalent complexity (about 15). This paper derives mathematically exact series expansion for v, and shows it is closely related to the exact result. The impact of this work will make this approximation a justified result, rather than "yet another" empirical formula. It is respected by the community now as the most important approximation available, as seen by the invited talks presented by the author.
Interdisciplinary
-
Cross-referral requested
-
Research group
None
Proposed double-weighted
No
Double-weighted statement
-
Reserve for a double-weighted output
No
Non-English
No
English abstract
-
