Applications of matrix optics to acceptance studies in low-beta ion linacs
Four-gap superconducting resonators have been developed at Argonne for use in the low-beta positive ion injector (PII) for ATLAS. These structures have been used successfully for ion velocities as low as 0.007c with q/m = 0.1. First order matrix optics and linear theory for the phase space transformations in accelerating systems are applied to the PII linac which includes low-beta heavy ion rf resonators and magnetic solenoids. These provide a new method to match initial phase space ellipses when used with higher order transfer maps or ray-tracing calculations. And also we present a quantitative measure of nonlinearities using the concept of rms emittances and deviations of phase space coordinates between linear and nonlinear transformations. As a byproduct a way of identifying the dominant source of nonlinearity of system is indicated.
- Research Organization:
- Argonne National Lab., IL (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- W-31109-ENG-38
- OSTI ID:
- 10173634
- Report Number(s):
- ANL/PHY/CP-78090; CONF-930511-295; ON: DE93017538; TRN: 93:017972
- Resource Relation:
- Conference: PAC `93: international particle accelerator conference,Washington, DC (United States),17-20 May 1993; Other Information: PBD: [1993]
- Country of Publication:
- United States
- Language:
- English
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