UK Neutrino FactoryConceptual DesignFFAG Electron ModelJ. Scott Berg's 42-cell e-model Lattice

J. Scott Berg's 42-cell e-model Lattice

From: "J. Scott Berg" <jsbergstrudel characterBNL.GOV>
To: <FFAG-E-MODELstrudel characterLISTSERV.CCLRC.AC.UK>
Subject: Specs for my 42-cell e-model lattice
Date: 2005 April 20; Wednesday 18:59

Here are the specs for my 42-cell doublet lattice.   The magnets are 
sector bends.   The precision is absurd but I'm too lazy to round.   The 
maximum magnitude of the field on the aperture is (exactly) 0.2 T; the 
centers of the magnets are slightly offset from the reference orbit to 
minimize their (circular) aperture.

Three qualifications on this design: first, I really should use 
rectangular magnets, I just haven't gotten around to the appropriate 
modifications to my code; in any case, the change will be small.  
Second, if we want to manipulate the fields to look at different cases, 
the pole tip fields and apertures will go up.   Third, we proably want to 
run cavities in every other cell, and in addition we want to look at 
higher values of "a"; thus, we should be capable of delivering about 6 
times the quoted voltage per cell in each cavity (still a modest 120 kV 
in a 1.3 GHz cavity: that's still only 1 MV/m!).

A plot of beta functions is attached.

				-Scott

Number of cells          : 42
D field on ref.  (T)      : +1.479236176578566e-01
D gradient on ref.  (T/m) : -4.664344119241806e+00
D length (m)             : +6.763531115187089e-02
D magnet radius (m)      : +1.401504124061265e-02
F field on ref.  (T)      : -4.190446417500143e-02
F gradient on ref.  (T/m) : +6.588754841399749e+00
F length (m)             : +6.023329047338594e-02
F magnet radius (m)      : +2.364930674329369e-02
Energy gain per cell (V) : +1.909692325719068e+04
Long drift length (m)    :  0.2
Short drift length (m)   :  0.05

From: "J. Scott Berg" <jsbergstrudel characterBNL.GOV>
To: <FFAG-E-MODELstrudel characterLISTSERV.CCLRC.AC.UK>
Subject: Reference energy for my lattice
Date: 2005 April 21; Thursday 15:27

Hello all,

   Eberhard pointed out that I neglected to specify the reference energy 
(which determines the curvature of the reference orbit).   I use a 
reference TOTAL energy of 15 MeV.   The reference orbit curvature is 
defined as usual by this and the dipole field.

				-Scott


-- 
J. Scott Berg                           Email: jsbergstrudel characterbnl.gov
BROOKHAVEN NATIONAL LABORATORY          Phone: (631) 344-3553
BUILDING 901A                           FAX:   (631) 344-3248
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UPTON NY  11973-5000                    PGP key available from web page

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