INCREASE OF BEAM PROJECTIVE EMITTANCE IN SYSTEM WITH DISPERSION

WEI Kai-Yu

Chinese Physics C> 1983, Vol. 7> Issue(5) : 589-597

INCREASE OF BEAM PROJECTIVE EMITTANCE IN SYSTEM WITH DISPERSION

WEI Kai-Yu ^,

Institute of High Energy Physics, Academia sinica

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Abstract：
In this paper, the increase of beam projective emittance caused by the momentum dispersion in the transport systems is discussed, and the incrementary ratio is derived. If the bending plane is (XOZ), the incrementary ratio of the transversal emittance is

and the longitudinal one is

Here ε_x0 and ε_z0 are original emittances in the x-direction and z-direction respectively, (Δp/p)_maxis beam momentum spread β_xf, α_xf, γ_xf being acceptance parameters of the system in x-direction for betatron oscillations, η and η' are dispersion function and its derivative.

References

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WEI Kai-Yu. INCREASE OF BEAM PROJECTIVE EMITTANCE IN SYSTEM WITH DISPERSION[J]. Chinese Physics C, 1983, 7(5): 589-597.

WEI Kai-Yu. INCREASE OF BEAM PROJECTIVE EMITTANCE IN SYSTEM WITH DISPERSION[J]. Chinese Physics C, 1983, 7(5): 589-597. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

INCREASE OF BEAM PROJECTIVE EMITTANCE IN SYSTEM WITH DISPERSION

WEI Kai-Yu ^,

Corresponding author: WEI Kai-Yu,

Institute of High Energy Physics, Academia sinica

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1983-10-05

Abstract: In this paper, the increase of beam projective emittance caused by the momentum dispersion in the transport systems is discussed, and the incrementary ratio is derived. If the bending plane is (XOZ), the incrementary ratio of the transversal emittance is

and the longitudinal one is

Here ε_x0 and ε_z0 are original emittances in the x-direction and z-direction respectively, (Δp/p)_maxis beam momentum spread β_xf, α_xf, γ_xf being acceptance parameters of the system in x-direction for betatron oscillations, η and η' are dispersion function and its derivative.