Page:Design and Calibration of a New Apparatus to Measure the Specific Electronic Charge.pdf/4

TABLE OF CONTENTS.

PART

TITLE

PAGE

I.

THE THEORY OF THE EXPERIMENT

1.0

General Introduction

1

1.1

The Epuations of Motion of the Electrons

2

1.2

Non-rotating Field Case.

3

1.3

Shape of Current Peak (Non-rotating Case)

4

1.4

Rotating Field Case

5

1.5

Theoretical Equation for e/m₀

6

1.6

Deflection for the Electron Beam

7

1.7

Shape of Current Peak (Rotating Field Case)

9

1.8

Consideraticns of Cavity in TM₁₁₀Mode

12

II.

THE DESIGN OF THE APPARATUS

2.0

Introduction

15

2.1

General Design Considerations

15

2.2

The Cavity Section

17

2.3

The Electron Source

19

2.4

The Collector

24

2.5

The R.F. System

27

2.6

Protective Systems

29

III.

EXPERIMENTAL RESULTS AND CONCLUSIONS

3.0

Introduction

32

3.1

Experimental Results -- Current Peaks

32

3.2

Effect of Beam Size

37

3.3

General Considerations of Effects of Errors

38

3.4

Errors Due to the R.F. System

38

3.5

Errors Due to the Electron Beam

40

3.6

Errors Arising from Cavity Length Measurement

42

3.7

Errors Due to Charging of Pinholes

43

3.8

Discussion of the Ultimate Obtainable Accuracy

43

3.9

Suggestions for Improvements

44

APPENDIX I.

CALCULATION OF CAVITY HEAT FLOW PROBLEM

45

APFENDIX II.

EFFECT OF THERMAL ELECTRON VELOCITIES

48

APPENDIX III.

TABLE OF SYMBOLS USED IN THE TEXT.

54