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WEPOY016 |
Use of Nonuniform Magnets for Emittance Reduction |
3014 |
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- E.B. Levichev, G.N. Baranov, S.V. Sinyatkin
BINP SB RAS, Novosibirsk, Russia
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We study a theoretical minimum emittance (TME) for a non-uniform bending magnet including a three-step bend (sandwich magnet), a dipole with linear ramp of the bend-ing radius and the same but with a central segment of constant field. We derive expression for the minimum emittance and expand it into a power series with respect to the bending angle. A zero-order term naturally gives the uniform magnet TME while higher-order terms are responsible for the emittance reduction. Theoretical re-sults are verified by numerical simulation.
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