2001
DOI: 10.1103/physreve.65.016501
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Abstract: The theory of ion-channel guiding in a helical wiggler is presented. Electron motion in the combined ion electrostatic and wiggler magnetostatic fields is analyzed in the absence of the radiation field. The Phi function that determines the rate of change of axial velocity with energy is derived and studied numerically. A detailed analysis of the pendulum equation and the gain equation in the low-gain-per-pass limit are presented. It is shown that the gain for stable group I orbits is positive, while for group … Show more

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Cited by 44 publications
(32 citation statements)
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“…We showed that both m || > 0 and m || < 0 are possible then, the latter regime too allowing for adiabatic dynamics. From other contexts, such negative masses are known to be capable of driving intriguing effects like absolute negative conductivity [76,77], negative mass instability [78,79,80,81,82,83,84,85,86], and related phenomena [87,88,89]. Yet the effects that may flow from the variable sign of m || (or m eff ) particularly for laser-driven particles in a magnetic field remain to be studied.…”
Section: Discussionmentioning
confidence: 99%
“…We showed that both m || > 0 and m || < 0 are possible then, the latter regime too allowing for adiabatic dynamics. From other contexts, such negative masses are known to be capable of driving intriguing effects like absolute negative conductivity [76,77], negative mass instability [78,79,80,81,82,83,84,85,86], and related phenomena [87,88,89]. Yet the effects that may flow from the variable sign of m || (or m eff ) particularly for laser-driven particles in a magnetic field remain to be studied.…”
Section: Discussionmentioning
confidence: 99%
“…3 Theoretical studies of an ion-channel FEL without the self-fields have been carried out by a number of authors. [4][5][6][7][8] In Ref. 9, Kordbacheh and Maraghechi investigated dispersion characteristics in the high-gain regime by using the relativistic Raman backscattering theory to find the FEL dispersion relation ͑DR͒ with ion-channel guiding.…”
Section: Influence Of Self-fields On Coupled Waves In Free Electron Lmentioning
confidence: 99%
“…Theoretical studies of electron trajectories and gain in a helical-wiggler FEL with ion-channel guiding have been carried out by Jha and Kumar. 2,3 They were subsequently extended by Esmaeilzadeh et al 4 Recently an analysis of trajectories in a helical wiggler with both an ion channel and a parallel/reversed axial magnetic field has been published. 5 Also, the effects of the self-fields in a helical wiggler have been investigated.…”
Section: Introductionmentioning
confidence: 97%