Kilpatrick limit

In

E field

points along the axis of the accelerator, producing forward acceleration of the particles when in the correct phase.

The maximum electric field $E$ achievable is limited by a process known as RF

RF

frequencies

f

were tested experimentally in the 1950s by W. D. Kilpatrick.^[1]

An approximate relation by least-square optimization of the data yields^[2]

$f=1.64\,\mathrm {MHz} \cdot \left({\frac {E}{E_{0}}}\right)^{2}\cdot \exp \left(-8.5{\frac {E_{0}}{E}}\right),\quad$ with $E_{0}=1\mathrm {\frac {MV}{m}}$ (

volts

per metre).

This relation is known as the Kilpatrick Limit.

References

doi:10.1063/1.1715731
.

ISBN 978-3-527-62343-3.. 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.

Retrieved from "https://en.wikipedia.org/w/index.php?title=Kilpatrick_limit&oldid=1061753513"

[1] :10.1063/1.1715731
.

[2] ISBN 978-3-527-62343-3.. 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.

[1]

[2]