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Trajectory Optics in Deflecting Magnets
Composite Systems and Spectrometers
Envelope Optics and Particle Beams
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acceptance area According to Eq accuracy analog computer angular aperture assume axis beam ellipse beam envelope beam transport beat factor calculations Cartesian coordinate system CERN chromatic aberration coil cross section component constant cosh curved coordinate system deflecting magnet deflecting strength deflection angle defocusing displacement drift space ellipse end field envelope function example field expansion filling factor focal length focal plane focusing quadrupole focusing strength fringe field given High Energy homogeneous hyperbolic image plane initial conditions Inserting isochronous lens lenses linear trajectory equations linear transformation Liouville's theorem magnet midplane magnetic field mirror plate obtain parameters phase plane point counter pole potentiometers principal planes principal trajectories private communication production angle quadrupole field quadrupole magnet quadrupole system rectangular reference orbit relative momentum deviation respectively sector magnet separator shown in Fig sinelike trajectory sinh slope spectrometer synchrotron magnet target thin-lens approximation transverse unwanted particle values wire