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Title: Roll Misalignments and Skew Errors of IR Triplet Quads

Abstract

The differential equation for the vertical closed orbit displacement y is y"+ Ky = D where a prime indicates differentiation with respect to azimuthal location, D is the inverse of the local bending radius, and K is the local quadrupole strength (positive for vertical focussing). The solution for a point source of strength Δy' with periodic boundary conditions is familiar: y= Δy' $$\frac{√βγβγ0}{2 sin(πQy)}$$.

Authors:
 [1];  [1]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1119407
Report Number(s):
BNL-102122-2013-IR
DOE Contract Number:  
AC02-98CH10886
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS

Citation Formats

Peggs, S., and Tepikian, S. Roll Misalignments and Skew Errors of IR Triplet Quads. United States: N. p., 1993. Web. doi:10.2172/1119407.
Peggs, S., & Tepikian, S. Roll Misalignments and Skew Errors of IR Triplet Quads. United States. https://doi.org/10.2172/1119407
Peggs, S., and Tepikian, S. 1993. "Roll Misalignments and Skew Errors of IR Triplet Quads". United States. https://doi.org/10.2172/1119407. https://www.osti.gov/servlets/purl/1119407.
@article{osti_1119407,
title = {Roll Misalignments and Skew Errors of IR Triplet Quads},
author = {Peggs, S. and Tepikian, S.},
abstractNote = {The differential equation for the vertical closed orbit displacement y is y"+ Ky = D where a prime indicates differentiation with respect to azimuthal location, D is the inverse of the local bending radius, and K is the local quadrupole strength (positive for vertical focussing). The solution for a point source of strength Δy' with periodic boundary conditions is familiar: y= Δy' $\frac{√βγβγ0}{2 sin(πQy)}$.},
doi = {10.2172/1119407},
url = {https://www.osti.gov/biblio/1119407}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed Sep 01 00:00:00 EDT 1993},
month = {Wed Sep 01 00:00:00 EDT 1993}
}