First- and second-order charged particle optics
Since the invention of the alternating gradient principle there has been a rapid evolution of the mathematics and physics techniques applicable to charged particle optics. In this publication we derive a differential equation and a matrix algebra formalism valid to second-order to present the basic principles governing the design of charged particle beam transport systems. A notation first introduced by John Streib is used to convey the essential principles dictating the design of such beam transport systems. For example the momentum dispersion, the momentum resolution, and all second-order aberrations are expressed as simple integrals of the first-order trajectories (matrix elements) and of the magnetic field parameters (multipole components) characterizing the system. 16 references, 30 figures.
- Research Organization:
- Stanford Linear Accelerator Center, CA (USA); Saskatchewan Univ., Saskatoon (Canada)
- DOE Contract Number:
- AC03-76SF00515
- OSTI ID:
- 6252982
- Report Number(s):
- SLAC-PUB-3381; CONF-8307126-3; ON: DE85006310
- Resource Relation:
- Conference: 3. annual summer school on high energy accelerators, Upton, NY, USA, 6 Jul 1983
- Country of Publication:
- United States
- Language:
- English
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