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Cherenkov instability is instability ^[1]in name of Pavel Cherenkov ^[2] can be recognised in Fourier spectrum of Field probe , signal port and voltage probe . It represents the Cherenkov effect ^[3]To mitigate the instability ^{[4] [5]}of Wave-particle interaction. ^[6]The material particle Permittivity frequency dependence is ${\displaystyle \epsilon (\omega )=\epsilon _{\infty }(1-\epsilon _{\infty })((1-r)\omega _{R}/{\omega _{R}-j\omega +r\omega _{0}^{2}/(\omega _{0}^{2}+j\omega \delta -\omega ^{2}}))}$ The Attenuation is ^[7]

${\displaystyle \left\vert A_{L}/{A_{0}}\right\vert =}$${\displaystyle \exp(-\epsilon _{r}\prime \prime (\omega )\omega L/{c})}$

References

Category: Plasma instability