Title :
P2-38: Ill-posed problems of emission electronics
Author :
Kovalenko, Yurij A. ; Korolev, Dmitry S.
Author_Institution :
Fed. State Unitary Enterprise, State Sci. Center Russian Federation, Moscow, Russia
Abstract :
It was demonstrated that all thermo-emission materials possess considerable emission heterogeneity; therefore the current take-off shall be described accordingly. An original current take-off equation was suggested with account of emission heterogeneity. The equation structurally represents a linear first kind Fredholm integral equation. It was demonstrated that the inverse problem - emission heterogeneity determination from emission test results - is ill-posed and requires involvement of a priori information for its solution. Two inversion algorithms connected with Tikhonov functional minimization were suggested. Good agreement of theoretical and experimental results was demonstrated.
Keywords :
Fredholm integral equations; electron emission; inverse problems; minimisation; Fredholm integral equation; Tikhonov functional minimization; emission electronics; emission heterogeneity; ill-posed problems; inverse problem; thermo-emission materials; Brightness; Cathodes; Chemicals; Composite materials; Integral equations; Inverse problems; Microscopy; Minimization methods; Region 8; Testing; distribution; emission; heterogeneity; work function;
Conference_Titel :
Vacuum Electronics Conference (IVEC), 2010 IEEE International
Conference_Location :
Monterey, CA
Print_ISBN :
978-1-4244-7098-3
DOI :
10.1109/IVELEC.2010.5503433