Non-linear theory of the propagation of signal and noise along an electron beam

Microwaves ◽  
1963 ◽  
pp. 467-471
Author(s):  
L. Solymar
Keyword(s):  
Electron Beam ◽  
Linear Theory ◽  
Non Linear

On non-linear theory of instability of a mono-energetic electron beam in plasma

1972 ◽  
Vol 14 (6) ◽  
pp. 591-600 ◽  
Author(s):  
N G Matsiborko ◽  
I N Onishchenko ◽  
V D Shapiro ◽  
V I Shevchenko
Keyword(s):  
Electron Beam ◽  
Linear Theory ◽  
Energetic Electron ◽  
Non Linear

A non-linear theory for a full cavitating hydrofoil in a transverse gravity field

1967 ◽  
Vol 29 (2) ◽  
pp. 317-336 ◽  
Author(s):  
Bruce E. Larock ◽  
Robert L. Street
Keyword(s):  
Gravity Field ◽  
Linear Theory ◽  
Mixed Boundary ◽  
Linear Method ◽  
Two Dimensional ◽  
Mixed Boundary Value Problem ◽  
Cavity Model ◽  
Cavity Size ◽  
Non Linear ◽  
Cavitating Hydrofoil

An analysis is made of the effect of a transverse gravity field on a two-dimensional fully cavitating flow past a flat-plate hydrofoil. Under the assumption that the flow is both irrotational and incompressible, a non-linear method is developed by using conformal mapping and the solution to a mixed-boundary-value problem in an auxiliary half plane. A new cavity model, proposed by Tulin (1964a), is employed. The solution to the gravity-affected case was found by iteration; the non-gravity solution was used as the initial trial of a rapidly convergent process. The theory indicates that the lift and cavity size are reduced by the gravity field. Typical results are presented and compared to Parkin's (1957) linear theory.

scholarly journals Detection of oscillatory solutions in a vacuum diode with total electron reflection

2021 ◽  
Vol 2103 (1) ◽  
pp. 012205
Author(s):  
V I Kuznetsov ◽  
IK Morozov
Keyword(s):  
Electron Beam ◽  
Electric Field ◽  
Vacuum Diode ◽  
Boundary Line ◽  
Electrode Gap ◽  
Oscillatory Solutions ◽  
Total Electron ◽  
Electron Reflection ◽  
Instability Development ◽  
Non Linear

Abstract Stability features of steady-state solutions for a vacuum diode with complete deceleration of electron beam is studied. A boundary line on the (inter-electrode gap, external voltage)-plane separating stable solutions from unstable ones is built up. An instability development is shown to end in a state with non-linear oscillations of the electric field but with no virtual cathode in a plasma. Existence of non-linear oscillations of the electric field in a vacuum diode with total reflection of an electron beam points out that such a diode can be a basis to create microwave generator.

Non-Linear Theory of Heteropolar Electrical Machines

1965 ◽  
Vol AS-3 (2) ◽  
pp. 32-38 ◽  
Author(s):  
S. V. Ahamed ◽  
E. A. Erdelyi ◽  
R. E. Hopkins
Keyword(s):  
Linear Theory ◽  
Electrical Machines ◽  
Non Linear
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