^{1,a)}and Moohyun Yoon

^{1}

### Abstract

In this article, field components are evaluated in a cylindrical waveguide filled with plasma in the presence of external static magnetic field applied along the direction of the mode propagation. The electron acceleration inside the plasma-filled cylindrical waveguide is investigated numerically for a single-electron model. It is found that the electron acceleration is very sensitive to the initial phase of mode-field components, external static magnetic field,plasma density, point of injection of the electron, and microwave power density. The maximum amplitude of the mode’s field components is approximately 100 times greater than the vacuum-waveguide case for operating microwave frequency , plasma density, initial phase angle , and microwave power in a cylindrical waveguide with a radius of . An electron with gets energy gain in along the waveguide length in the presence of external power with a microwave frequency of . The electron trajectory is also analyzed under the effects of magnetic field when the electron is injected in the waveguide at .

This work was supported by the Ministry of Education and Human Resources, Korea.

I. INTRODUCTION

II. ELECTROMAGNETIC FIELDS IN COLD MAGNETIZED PLASMA-FILLED CYLINDRICAL WAVEGUIDE

A. mode-field components for a plasma-filled cylindrical waveguide

B. Power transmission through waveguide

C. Dispersion relation

III. THE ELECTRON DYNAMICS AND ITS ACCELERATION

IV. NUMERICAL SIMULATIONS

V. CONCLUSION

### Key Topics

- Plasma filled waveguides
- 88.0
- Microwaves
- 24.0
- Magnetic fields
- 15.0
- Microwave power transmission
- 13.0
- Plasma waves
- 10.0

## Figures

The variation of angle of deflection of an electron along the waveguide axis and the effect of for , , , and in a cylindrical waveguide of radius of with an initial electron energy of .

The variation of angle of deflection of an electron along the waveguide axis and the effect of for , , , and in a cylindrical waveguide of radius of with an initial electron energy of .

The variation of radial position of an electron inside the waveguide along the waveguide axis and the effect of on the radial position for , , , and in a cylindrical waveguide of radius of with an initial electron energy of .

The variation of radial position of an electron inside the waveguide along the waveguide axis and the effect of on the radial position for , , , and in a cylindrical waveguide of radius of with an initial electron energy of .

Three dimensional trajectory of the electron inside the waveguide for , , , , and in a cylindrical waveguide of radius of with an initial electron energy of .

Three dimensional trajectory of the electron inside the waveguide for , , , , and in a cylindrical waveguide of radius of with an initial electron energy of .

Effect of on the total energy gain along the direction of waveguide axis at , , , and in a cylindrical waveguide of radius of ; the initial energy of the electron is .

Effect of on the total energy gain along the direction of waveguide axis at , , , and in a cylindrical waveguide of radius of ; the initial energy of the electron is .

Variation of the electron’s total energy gain vs the initial phase of the mode-field components for , , , and in a cylindrical waveguide of radius of with an initial electron energy of .

Variation of the electron’s total energy gain vs the initial phase of the mode-field components for , , , and in a cylindrical waveguide of radius of with an initial electron energy of .

Variation of the electron’s total energy gain vs the point of injection of electron for , , , , and in a cylindrical waveguide of radius of with an initial electron energy of .

Variation of the electron’s total energy gain vs the point of injection of electron for , , , , and in a cylindrical waveguide of radius of with an initial electron energy of .

Variation of the electron’s total energy gain vs microwave power density for , , with an initial phase of the wave in a cylindrical waveguide of radius of with an initial electron energy of .

Variation of the electron’s total energy gain vs microwave power density for , , with an initial phase of the wave in a cylindrical waveguide of radius of with an initial electron energy of .

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