US2015223315A1PendingUtilityA1

Methods and systems for confining charged particles to a compact orbit during acceleration using a non-scaling fixed field alternating gradient magnetic field

Assignee: PASSPORT SYSTEMS INCPriority: Feb 25, 2010Filed: Sep 16, 2014Published: Aug 6, 2015
Est. expiryFeb 25, 2030(~3.6 yrs left)· nominal 20-yr term from priority
H05H 13/08H05H 2007/043G06F 17/10H05H 11/00G06F 30/00H05H 7/04G06F 17/50
51
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Claims

Abstract

A method is described wherein a beam of charged particles is confined to an orbit within a compact region of space as it is accelerated across a wide range of energies. This confinement is achieved using a non-scaling magnetic field based on the Fixed Alternating Gradient principle where the field strength includes non-linear components. Examples of magnet configurations designed using this method are disclosed.

Claims

exact text as granted — not AI-modified
1 . A non-scaling fixed field alternating-gradient particle accelerator, comprising
 a) an induction core; and   b) a plurality of substantially-identical cells, each cell comprising an F-magnet configured to focus a charged particle beam horizontally and defocus said beam vertically and a D-magnet configured to defocus said beam horizontally and focus said beam vertically,   wherein said cells are arranged in a ring such that the F- and D-magnets alternate, and such that the charged particle beam circulates in said ring and is stable after being injected and until being extracted;   wherein the cells are symmetrically arranged; and   wherein the F-magnets and D-magnets have linear edges; and   wherein the F-magnets and D-magnets are configured to generate a guide magnetic field which varies non-linearly with radius and to determine reference orbits which close geometrically.   
     
     
         2 . The accelerator of  claim 1 , wherein, for each D-magnet and for each F-magnet, an edge angle of that magnet at an extraction radius and an edge angle of that magnet at an injection radius are equal to each other. 
     
     
         3 . The accelerator of  claim 1 , wherein, for each D-magnet and for each F-magnet, a magnet length is greater than or equal to 0.01 m. 
     
     
         4 . The accelerator of  claim 1 , wherein, for each D-magnet and for each F-magnet, an absolute magnetic field strength is less than or equal to 5 kG. 
     
     
         5 . The accelerator of  claim 1 , wherein, for each pair of adjoining magnets, a magnet spacing between said magnets at an extraction energy is greater than or equal to 0.05 m. 
     
     
         6 . The accelerator of  claim 1 , wherein, for each pair of adjoining magnets, a drift length at injection and a drift length at an energy intermediate between injection and extraction is greater than 0.01 m. 
     
     
         7 . The accelerator of  claim 1 , wherein:
 a beam energy is about 0.05 MeV at injection and about 3 MeV at extraction,   an average radius is about 0.198 m. at injection and about 0.417 m at extraction,   a peak field in the F-magnets is about 0.088 kG at injection and about 1.002 kG at extraction,   a peak field in the D-magnets is about −0.177 kG at injection and about −0.491 kG at extraction,   a magnet length for the F-magnets is about 0.0877 m at injection and about 0.1348 m at extraction,   a magnet length for the D-magnets is about 0.0094 m. at injection and about 0.0976 at extraction,   an aperture in the F-magnet is about 0.218 m,   an aperture in the D-magnets is about 0.179 m,   there are 8 cells, and   a sextupole field is sufficient to contain tune variation and permit beam stability.   
     
     
         8 . The accelerator of  claim 1 , wherein:
 a beam energy is about 0.05 MeV at injection and about 4 MeV at extraction, an average radius is about 0.162 m. at injection and about 0.350 m at extraction,   a peak field in the F-magnets is about 0.082 kG at injection and about 1.105 kG at extraction,   a peak field in the D-magnets is about −0.110 kG at injection and about −1.488 kG at extraction,   a magnet length for the F-magnets is about 0.0949 m at injection and about 0.1458 m at extraction,   a magnet length for the D-magnets is about 0.0134 m. at injection and about 0.0294 at extraction,   an aperture in the F-magnet is about 0.190 m,   an aperture in the D-magnets is about 0.162 m, and   there are 8 cells.   
     
     
         9 . The accelerator of  claim 1 , wherein:
 a beam energy is about 0.05 MeV at injection and about 3.5 MeV at extraction,   an average radius is about 0.104 m. at injection and about 0.274 m at extraction,   a peak field in the F-magnets is about 0.500 kG at injection and about 2.034 kG at extraction,   a peak field in the D-magnets is about −0.000 kG at injection and about −0.209 kG at extraction,   a magnet length for the F-magnets is about 0.0112 m at injection and about 0.061 m at extraction,   a magnet length for the D-magnets is about 0.0390 m. at injection and about 0.0598 at extraction,   an aperture in the F-magnet is about 0.190 m,   an aperture in the D-magnets is about 0.161 m, and   there are 8 cells.   
     
     
         10 . The accelerator of  claim 1 , wherein
 a beam energy is about 0.05 MeV at injection and about 9 MeV at extraction,   an average radius is about 0.206 m. at injection and about 0.437 m at extraction,   a peak field in the F-magnets is about 0.114 kG at injection and about 1.986 kG at extraction,   a peak field in the D-magnets is about −0.107 kG at injection and about −2.811 kG at extraction,   a magnet length for the F-magnets is about 0.0670 m at injection and about 0.1650 m at extraction,   a magnet length for the D-magnets is about 0.0208 m. at injection and about 0.0398 at extraction,   an aperture in the F-magnet is about 0.230 m,   an aperture in the D-magnets is about 0.199 m, and   there are 9 cells.   
     
     
         11 . A method of designing a non-scaling fixed field alternating-gradient particle accelerator, wherein there is a non-linear magnetic field variation with radius, the method comprising
 a) selecting a first plurality of design parameters for the accelerator;   b) selecting a second plurality of equations relating the selected design parameters;   c) selecting a third plurality of constraints on at least some of the selected design parameters;   d) selecting a fourth plurality of constraint equations;   e) specifying an intermediate energy;   f) selecting a fifth plurality of equations relating to the intermediate energy;   g) carrying out an optimizer search to determine at least one potential design for the accelerator;   h) verifying at least one potential design by calculating exact orbits and checking tunes for stability over a desired energy range;   i) if no potential design has a stable tune, repeating the optimizer search; and   j) if at least one potential design has a stable tune, completing the design of the accelerator based upon said potential design.   
     
     
         12 . The method of  claim 11 , wherein at least some of the second plurality of equations comprise thick lens linear matrix traces. 
     
     
         13 . The method of  claim 11 , wherein the first plurality of design parameters comprises:
 D e , a drift distance between an F magnet and a D magnet at extraction;   L if , L ef , L id , L ed , F magnet and D magnet half-lengths at injection and extraction;   B if , B ef , B id , B ed , F magnet and D magnet fields at injection and extraction;   δx if, , a distance from an injection orbit to an extraction orbit in an F magnet; and   η f , and η d , linear edge angles for F magnets and D-magnets.   
     
     
         14 . The method of  claim 11 , wherein the second plurality of equations comprises: 
       
         
           
             
               
                 
                   
                     
                       
                         
                           
                             
                               
                                 
                                   
                                     
                                       
                                         
                                           
                                             
                                               
                                                 
                                                   
                                                     
                                                       
                                                         
                                                           
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                               
                                                             
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                 indicates text missing or illegible when filed 
               
             
           
         
       
     
     
         15 . The method of  claim 11 , wherein the third plurality of constraints comprises:
 1) magnet lengths less than 0.01 m are excluded;   2) absolute magnetic field strengths greater than 5 kG are excluded;   3) magnet spacings at an extraction energy less than 0.05 m are excluded; and   4) drifts at injection and intermediate energies less than 0.01 m are excluded.   
     
     
         16 . The method of  claim 11 , wherein the fourth plurality of constraint equations comprises: 
       
         
           
             
               
                 
                   
                     
                       
                         
                           
                             
                               
                                 
                                   
                                     
                                       
                                         
                                           
                                             
                                               
                                                 
                                                   
                                                       
                                                   
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         17 . The method of  claim 11 , wherein the fifth plurality of equations comprises: 
       
         
           
             
               
                 
                   
                     
                       
                         
                           
                             
                               
                                 
                                   
                                     
                                       
                                         
                                           
                                             
                                               
                                                 
                                                   
                                                     
                                                       
                                                         
                                                           
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                               
                                                             
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                     [ 
                     
                       
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         18 . The method of  claim 11 , wherein a least squares merit function is used in the optimization. 
     
     
         19 . The method of  claim 11 , wherein the number of sectors is between 6 and 11. 
     
     
         20 . A method of designing a non-scaling fixed field alternating-gradient particle accelerator, wherein there is a non-linear magnetic field variation with radius, the method comprising
 a) selecting a first plurality of design parameters for the accelerator, a second plurality of equations relating the selected design parameters, a third plurality of constraints on at least some of the selected design parameters, and a fourth plurality of equations relating to an intermediate energy;   b) carrying out an optimizer search to determine at least one potential design for the accelerator;   c) verifying at least one potential design by checking tunes for stability over a desired energy range; and   d) for at least one potential design with a stable tune, completing the design of the accelerator based upon said potential design.

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