1、ironless betatron

2、megagauss betatron

3、axial betatron oscilations

4、radial betatron oscillations

5、The cyclotron accelerates positively charged particles, while the betatron accelerates negatively charged electrons.

6、In the betatron, a single magnetic field is harnessed for both purposes.

7、The betatron and synchrotron oscillation are measured frequently during the period of the machine commissioning, operation and machine study.

8、The betatron and synchrotron tunes are measured frequently during the period of the machine operation and machine studies.

9、This thesis introduces in detail how to keep betatron electron track radius invariable in two conditions of typical magnetic field distribution.