Non-steady state transport of charge carriers. An approach based on invariant embedding method

2020 ◽  
Vol 127 (4) ◽  
pp. 045703 ◽  
Author(s):  
C. Figueroa ◽  
B. Straube ◽  
M. Villafuerte ◽  
G. Bridoux ◽  
J. Ferreyra ◽  
...  
Keyword(s):  
Steady State ◽  
Charge Carriers ◽  
Embedding Method ◽  
Invariant Embedding ◽  
Invariant Embedding Method

scholarly journals Benchmarking the invariant embedding method against analytical solutions in model transport problems

2006 ◽  
Vol 21 (2) ◽  
pp. 3-13
Author(s):  
Malin Wahlberg ◽  
Imre Pázsit
Keyword(s):  
Half Space ◽  
Cross Sections ◽  
Length Distribution ◽  
Infinite Medium ◽  
Scattering Medium ◽  
Embedding Method ◽  
Invariant Embedding ◽  
Invariant Embedding Method ◽  
Transport Problems ◽  
Energy Dependent

The purpose of this paper is to demonstrate the use of the invariant embedding method in a few model transport problems for which it is also possible to obtain an analytical solution. The use of the method is demonstrated in three different areas. The first is the calculation of the energy spectrum of sputtered particles from a scattering medium without absorption, where the multiplication (particle cascade) is generated by recoil production. Both constant and energy dependent cross-sections with a power law dependence were treated. The second application concerns the calculation of the path length distribution of reflected particles from a medium without multiplication. This is a relatively novel application, since the embedding equations do not resolve the depth variable. The third application concerns the demonstration that solutions in an infinite medium and in a half-space are interrelated through embedding-like integral equations, by the solution of which the flux reflected from a half-space can be reconstructed from solutions in an infinite medium or vice versa. In all cases, the invariant embedding method proved to be robust, fast, and monotonically converging to the exact solutions.

Determination of optical parameters of partially transparent materials by the invariant embedding method

2017 ◽  
Vol 123 (4) ◽  
pp. 650-657 ◽  
Author(s):  
R. A. Mironov ◽  
M. O. Zabezhailov ◽  
V. V. Cherepanov ◽  
M. Yu. Rusin
Keyword(s):  
Optical Parameters ◽  
Embedding Method ◽  
Invariant Embedding ◽  
Invariant Embedding Method ◽  
Transparent Materials

scholarly journals Electromagnetic scattering from cylindrically and spherically stratified bodies

1968 ◽  
Vol 46 (12) ◽  
pp. 1463-1468 ◽  
Author(s):  
R. W. Latham
Keyword(s):  
Electromagnetic Field ◽  
Electromagnetic Scattering ◽  
Wave Scattering ◽  
Inhomogeneous Media ◽  
Stratified Media ◽  
Scattering Problems ◽  
Embedding Method ◽  
Invariant Embedding ◽  
Invariant Embedding Method ◽  
Constitutive Parameters

A method is developed for calculating the electromagnetic field scattered by certain types of bodies. The bodies consist of inhomogeneous media whose constitutive parameters vary only with the distance from some axis or point of symmetry. The method consists of an extension of the invariant embedding method for treating wave-scattering problems. This method, familiar in the case of plane stratified media, is extended to handle cylindrically and spherically stratified media.

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