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Eddy-current effect on field multipoles arising in dipole magnets with elliptic and rectangular beam pipe

Perevedentsev E. A., Romanov A. L.

We present an analytical evaluation of the field-distortion effect from eddy currents induced by the time variation of magnetic field of dipole magnets in the elliptic or rectangular beam pipe of finite conductivity. The pipe sizes and aspect are arbitrary except that for practical reasons we assume the pipe wall thickness to be small as compared to the skin depth. Handy formulas are presented for the field multipoles arising from non-round shape of the beam pipe.