Derives exact image-dipole potential in cuboidal superconducting trap, reduces centered dipole energy to Epstein-zeta lattice sums, and shows alignment with short axis over finite aspect ratio ranges verified to 0.16% by FEM.
sctrap: trap frequencies of magneti- cally levitated particles over arbitrary superconductor geometries,
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Magnetic Dipole in a Cuboidal Superconducting Trap
Derives exact image-dipole potential in cuboidal superconducting trap, reduces centered dipole energy to Epstein-zeta lattice sums, and shows alignment with short axis over finite aspect ratio ranges verified to 0.16% by FEM.