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In [[particle accelerators]], a common mechanism for accelerating a charged particle beam is via [[copper]] [[Resonator#Cavity_resonators|resonant cavities]] in which electric and [[magnetic field]]s form a [[standing wave]], the mode of which is designed so that the [[E field]] points along the axis of the accelerator, producing forward acceleration of the particles when in the correct phase. | |||
The maximum electric field <math>E</math> achievable is limited by a process known as RF [[Electrical breakdown|breakdown]]. The reliable limits for various [[Radio Frequency|RF]] frequencies <math>f</math> were tested experimentally in the 1950s by W. D. Kilpatrick.<ref>{{cite doi | 10.1063/1.1715731 }}</ref> | |||
An approximate relation by least-square optimization of the data yields<ref>{{cite book | |||
|title= RF Linear Accelerators | |||
|last1= Wangler |first1= Thomas |authorlink1= | |||
|coauthors= | |||
|editor1-last= |editor1-first= | editor1-link= | |||
|edition= 2nd | |||
|date= 2008 | |||
|publisher= [[Wiley-VCH]] | |||
|location= | |||
|isbn= 978-3-527-62343-3 | |||
|pages= | |||
|url= http://books.google.de/books?id=OJdgVI-UrikC&printsec=frontcover | |||
}}. This form apparently comes from a [[Los Alamos National Laboratory|Los Alamos]] note: | |||
: T. J. Boyd, Jr., ''Kilpatrick's criterion'', Los Alamos Group AT-1 report AT-1:82-28, February 12, 1982.</ref> | |||
<math>f = 1.64\,\mathrm{MHz} \cdot \left(\frac{E}{E_0}\right)^2 \cdot \exp\left( -8.5 \frac{E_0}{E} \right), \quad </math> with <math>E_0 = 1 \mathrm{\frac{MV}{m}}</math> ([[Mega-|mega]][[volts]] per metre). | |||
This relation is known as the '''Kilpatrick Limit'''. | |||
== References == | |||
{{Reflist}} | |||
[[Category:Accelerator physics]] | |||
Revision as of 13:40, 24 October 2013
In particle accelerators, a common mechanism for accelerating a charged particle beam is via copper resonant cavities in which electric and magnetic fields form a standing wave, the mode of which is designed so that the E field points along the axis of the accelerator, producing forward acceleration of the particles when in the correct phase.
The maximum electric field achievable is limited by a process known as RF breakdown. The reliable limits for various RF frequencies were tested experimentally in the 1950s by W. D. Kilpatrick.[1]
An approximate relation by least-square optimization of the data yields[2]
This relation is known as the Kilpatrick Limit.
References
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- ↑ Template:Cite doi
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My blog: http://www.primaboinca.com/view_profile.php?userid=5889534. This form apparently comes from a Los Alamos note:- T. J. Boyd, Jr., Kilpatrick's criterion, Los Alamos Group AT-1 report AT-1:82-28, February 12, 1982.