Analytical solution of the nonlinear equations of state for electrons in the resonant cavity of a gyroscopic device with a uniform electromagnetic field
Abstract
In the present paper, a nonlinear system of smoothed differential equations describing the behavior of electrons of a spiral flux in the strong electromagnetic field is solved explicitly in terms of elliptical Weierstrass functions. The solution is illustrated by graphs of the individual and collective efficiency of electrons in optimized gyromonotron and gyroklystron models.
- Publication:
-
Radiotekhnika i Elektronika
- Pub Date:
- April 1978
- Bibcode:
- 1978RaEl...23..798Z
- Keywords:
-
- Cavity Resonators;
- Electromagnetic Fields;
- Electron Optics;
- Gyroscopes;
- Microwave Oscillators;
- Nonlinear Equations;
- Differential Equations;
- Electron Tubes;
- Elliptic Functions;
- Equations Of State;
- Klystrons;
- Optimization;
- Weierstrass Functions;
- Electronics and Electrical Engineering