Title :
Comments on the JWKB Approximation
Author :
Forbes, Richard G.
Author_Institution :
Adv. Technol. Inst., Surrey Univ., Guildford
Abstract :
The JWKB approximation involved in standard Fowler-Nordheim theory approximates a "quasi-classical potential energy" describing a tunneling probability for an electron approaching a tunneling barrier. Some comments regarding the adequacy of this approximation method are made and the principle of restoring a "pre-factor" into the tunneling probability approximation is argued. JWKB approximation is shown to be applicable in normal circumstances of cold field electron emission
Keywords :
approximation theory; electron field emission; tunnelling; Fowler-Nordheim theory; JWKB approximation; cold field electron emission; electron tunneling probability; quasiclassical potential energy; tunneling barrier; Electron emission; Image restoration; Inorganic materials; Mathematics; Partial differential equations; Potential energy; Schrodinger equation; Standards development; Tunneling; Turning;
Conference_Titel :
Vacuum Nanoelectronics Conference, 2006 and the 2006 50th International Field Emission Symposium., IVNC/IFES 2006. Technical Digest. 19th International
Conference_Location :
Guilin
Print_ISBN :
1-4244-0401-0
DOI :
10.1109/IVNC.2006.335309
