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Storage ring operation of the free-electron laser: The amplifier

Работа накопительного кольца как лазера на свободных электронах: Усилитель

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

In this paper we investigate the steady-state features of the free-electron laser amplifier operating with an electron beam stored in a circular accelerating machine (storage ring). The electron distribution and the amplifier output are evaluated. It comes out that the energy transferred from the electrons to the laser beam is proportional to the energy radiated in the bending magnets of the storage ring (synchrotron radiation).

Riassunto

In questo lavoro si studiano le caratteristiche a regime di un amplificatore laser ad elettroni liberi operante in anello di accumulazione. Si ricavano la distribuzione degli elettroni e l'amplificazione. L'energia trasferita dagli elettroni al fascio laser risulta esserc proporzionale all'energia irradiata per emissione di sincrotrone nei magneti curvanti dell'anello di accumulazione.

Резюме

В этой статье мы исследуем особенности стационарного состояния лазера на свободных электронах, работающего с электронным пучком, накопленном в кольцевой ускоряющей машине (накопительное кольцо). Оцениваются электронное распределение и мощность усилителя. Оказывается, что энергия, переданная от электронов лазерному пучку, пропорциональна энергии, излученной в изгибающих магнитах накопительного кольца (т.е. синхротронному излучению).

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Abbreviations

e :

electron charge

m 0 :

rest electron mass

c :

light velocity

r 0 :

e 2/m 0 c 2=classical electron radius

λe :

ℏ/m 0 c 2=reduced Compton wave-length of the electron

ħ:

reduced Planck constant

L :

orbit length

T :

L/c=revolution period

ϱ:

magnetic bending radius

ϱ:

momentum compaction

αc :

synchrotron frequency

τ:

synchrotron damping time

E 0 :

nominal working energy

E :

actual electron energy

ε:

(E−E 0)/E0

z :

longitudinal co-ordinate

N :

number of electrons per bunch

U 0 :

total energy radiated per machine turn and per electron

U T :

N·U 0

λ,λq :

laser and wiggler wave-length

λ:

(λq/2)(1+K 2)(m 0 c 2/E *)2

E * :

resonant energy

{ie161-3}:

(E 0−E*)/E0

L w :

wiggler length

L w :

homogeneous frequency width

B 0 :

wiggler peak magnetic field

K :

(1/√2)(eB 0λq/2πm 0 c 2)

dP L/dS :

laser power density

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  1. Divisione Nuove Attività, Centro di Frascati, C.N.E.N., C.P. 65, 00044, Frascati, Roma, Italia

    A. Renieri

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Renieri, A. Storage ring operation of the free-electron laser: The amplifier. Nuov Cim B 53, 160–178 (1979). https://doi.org/10.1007/BF02739308

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