Section II. Hamiltonian optics / aberrations / codes
Effects of dipole magnet inhomogeneities on the beam ellipsoid

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Abstract

The RAYTRACE computer code [1] has been modified [2] to accept magnetic fields measured in the median plane of a dipole magnet. This modification allows one to study the effects of a nonideal dipole magnet on the beam ellipsoid (as defined by the TRANSPORT code manual [3]).

The effects on the beam ellipsoid are due to (1) field inhomogeneities in the interior region of the dipole and (2) discrepancies from design conditions of the magnetic field values in the fringe field region.

The results of the RAYTRACE code calculations based on experimentally measured fields will be compared with the results derived using both an ideal (no inhomogeneities) dipole with sharp cutoff boundaries and an ideal dipole with perfect (according to design) fringe fields.

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There are more references available in the full text version of this article.

Cited by (6)

  • Computation of magnetic fields from field components on a plane grid

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    Citation Excerpt :

    However if the magnetic field measurements are made on a 2D plane grid, the Maxwell equations must be used to calculate, from the measured components of the magnetic field on a plane grid, the field components at any point in space. Such an algorithm was employed in the RAYTRACE computer code to help calculate the optical properties of magnets and of the Alternating Gradient Synchrotron (AGS) at the Brookhaven National Laboratory (BNL) [3], [4]. Similar algorithms [5], [6] which calculate 3D fields at a point in space from 2D field maps on a plane are being used by the computer code Zgoubi [2] and an algorithm which utilizes the field map on curved surface [7] has also been developed.

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  • Algorithm to calculate off-plane magnetic field from an on-plane field map

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Work performed under the auspices of the US Air Force, Project Order #AFWL 85-203/86-130.

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