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Title: Stable particle motion in a linear accelerator with solenoid focusing

Abstract

The equation governing stable particle motion in a linear ion accelerator containing discrete rf and either discrete or continuous solenoid focusing was derived. It was found for discrete solenoid focusing that: cos ..mu.. = (1 + d..delta..) cos theta/2 + (l..delta../theta - dtheta/2l - theta..delta..d/sup 2//4l) sin theta/2, ..delta.. = 1/f and l + 2d = ..beta..lambda, where ..mu.., theta, f, l, and d are the phase advance per cell, precession angle in the solenoid, focal length of the rf lens, length of the solenoid in one cell, and the drift distance between the center of the rf gap and the effective edge of the solenoid. The relation for a continuous solenoid is found by setting d equal to zero. The boundaries of the stability region for theta vs ..delta.. with fixed l and d are obtained when cos ..mu.. =+-1.

Authors:
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
OSTI Identifier:
6265917
Report Number(s):
LA-UR-79-701; CONF-790327-41
Journal ID: ISSN 0018--9499; TRN: 79-011427
DOE Contract Number:  
W-7405-ENG-36
Resource Type:
Conference
Resource Relation:
Journal Volume: 26; Journal Issue: 3; Conference: IEEE particle accelerator conference, San Francisco, CA, USA, 12 Mar 1979
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; LINEAR ACCELERATORS; BEAM DYNAMICS; BEAM FOCUSING MAGNETS; BEAM TRANSPORT; ION BEAMS; PHASE STABILITY; SOLENOIDS; TRAJECTORIES; ACCELERATORS; BEAMS; ELECTRIC COILS; ELECTRICAL EQUIPMENT; EQUIPMENT; MAGNETS; STABILITY; 430200* - Particle Accelerators- Beam Dynamics, Field Calculations, & Ion Optics

Citation Formats

Wadlinger, E A. Stable particle motion in a linear accelerator with solenoid focusing. United States: N. p., 1979. Web. doi:10.1109/TNS.1979.4330083.
Wadlinger, E A. Stable particle motion in a linear accelerator with solenoid focusing. United States. https://doi.org/10.1109/TNS.1979.4330083
Wadlinger, E A. 1979. "Stable particle motion in a linear accelerator with solenoid focusing". United States. https://doi.org/10.1109/TNS.1979.4330083. https://www.osti.gov/servlets/purl/6265917.
@article{osti_6265917,
title = {Stable particle motion in a linear accelerator with solenoid focusing},
author = {Wadlinger, E A},
abstractNote = {The equation governing stable particle motion in a linear ion accelerator containing discrete rf and either discrete or continuous solenoid focusing was derived. It was found for discrete solenoid focusing that: cos ..mu.. = (1 + d..delta..) cos theta/2 + (l..delta../theta - dtheta/2l - theta..delta..d/sup 2//4l) sin theta/2, ..delta.. = 1/f and l + 2d = ..beta..lambda, where ..mu.., theta, f, l, and d are the phase advance per cell, precession angle in the solenoid, focal length of the rf lens, length of the solenoid in one cell, and the drift distance between the center of the rf gap and the effective edge of the solenoid. The relation for a continuous solenoid is found by setting d equal to zero. The boundaries of the stability region for theta vs ..delta.. with fixed l and d are obtained when cos ..mu.. =+-1.},
doi = {10.1109/TNS.1979.4330083},
url = {https://www.osti.gov/biblio/6265917}, journal = {},
issn = {0018--9499},
number = 3,
volume = 26,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 1979},
month = {Mon Jan 01 00:00:00 EST 1979}
}

Conference:
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