Paper 
Title 
Page 
WEPMY022 
Homogeneous Focusing of Train of Short Relativistic Electron Bunches by Plasma Wakefield 
2599 
SUPSS032 


 V.I. Maslov, I.N. Onishchenko
NSC/KIPT, Kharkov, Ukraine
 I.P. Levchuk (Yarovaya)
KhNU, Kharkov, Ukraine



The focusing of bunches by wakefield, excited in plasma by resonant sequence of relativistic electron bunches (repetition frequency of the bunches coincides with the plasma frequency), is inhomogeneous. In this paper we investigate wakefield plasma lens, in which all bunches of sequence are focused identically and uniformly, for short relativistic electron bunches. For this it is necessary that the charge of 1st bunch is smaller in determined times than the charges of the other bunches, the interval between back front of 1st bunch and 1st front of 2nd bunch equals determined value, the interval between back front of Nth bunch and 1st front of (N+1)th bunch for all other bunches is multiple to excited wavelength. It is shown that only 1st bunch is in finite Ez≠0. Other bunches are in zero longitudinal electrical wakefield. Hence the 1st bunch interchange by energy with wakefield. The subsequent bunches don't interchange by energy with wakefield and the amplitude of wakefield doesn't change along sequence. Radial wake force Fr in regions, occupied by bunches, is approximately constant along bunches.


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※ DOI:10.18429/JACoWIPAC2016WEPMY022


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WEPMY023 
Selffocusing and Wakefieldfocusing of Relativistic Electron Bunches in Plasma 
2602 

 V.I. Maslov, I.P. Levchuk (Yarovaya), I.N. Onishchenko
NSC/KIPT, Kharkov, Ukraine



It was shown that at the wakefield excitation by electron bunch, the length of which is equal to half of the wavelength, the ratio of wakefield focusing to selffocusing is large at the end of the bunch, the shape of which is such that it falls from the current maximum value in the head of the bunch to zero at the end of the bunch. However, the ratio of wakefield focusing to selffocusing tends to zero at the end of the bunch, if the current increases along the bunch from zero in the head of the bunch to a maximum value at the end of the bunch. In the case of homogeneous bunch with sharp edges, the length of which is several plasma wavelength, the selffocusing force Fs is constant along the bunch, and wakefield force of focusing changes from Fs to Fs. In the case of homogeneous bunch with precursor of half current and length, equal to half of wavelength, focusing of bunch is determined by the homogeneous selffocusing force and wakefield focusing force equals zero. Cases of rectangular and Gaussian bunches, the length of which is equal to half of wavelength, also were considered.


DOI • 
reference for this paper
※ DOI:10.18429/JACoWIPAC2016WEPMY023


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