Mode Coupling in the Modified Betatron.
NAVAL RESEARCH LAB WASHINGTON DC
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The effects of quadratic non-linearities in the single particle equations of motion on electron orbits in the modified betatron are studied. Strong coupling of the two modes of betatron oscillation is found to occur for a particular value of the ratio B sub thetaB sub z, unless the gradient in the field index takes a certain value. In general, in the azimuthally symmetric case, the mode coupling appears to be quite harmless. When field andor focusing errors are present the mode coupling reduces the effect on the orbit of the lambda - 1 orbital resonance but does not do so sufficiently so that the lambda 1 resonance could be safely passed through in a practical device. Author
- Electricity and Magnetism
- Particle Accelerators