Proof of the basic invariant imbedding method for Fredholm integral equations with displacement kernels. part II

1970 ◽  
Vol 2 (1) ◽  
pp. 69-76 ◽  
Author(s):  
J. Casti ◽  
R. Kalaba
Keyword(s):  
Integral Equations ◽  
Fredholm Integral Equations ◽  
Invariant Imbedding ◽  
Basic Invariant ◽  
Invariant Imbedding Method ◽  
Imbedding Method

Angular Distribution of XPS Peaks by Layers of a Finite Thickness

2015 ◽  
Vol 1085 ◽  
pp. 496-501
Author(s):  
Viktor Afanas'ev ◽  
Alexander Gryazev
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Finite Thickness ◽  
Energy Spectra ◽  
Angular Distributions ◽  
Invariant Imbedding ◽  
Photoelectron Emission ◽  
X Ray ◽  
Invariant Imbedding Method ◽  
Imbedding Method

On the basis of the invariant imbedding method the equations describing energy spectra of X-ray photoelectron emission by layers of a finite thickness are presented. The analytical decisions describing angular distributions of electrons emitted by layer were received in small-angle approximation and neglect the backscattering factor. Approbation of the received decisions is executed on the basis of comparison with results of Monte-Carlo simulation. The limitations of the theory neglecting with processes of an electron elastic scattering are shown.

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