High Power Microwaves, 3rd Edition

APPENDIX: HIGH POWER MICROWAVE FORMULARY 445

• Electron cyclotron resonance heating (ECRH)

ff

eB

m

ff

ce

e

ce

== =

2

2

π

,or

where:

m

i

and m

e

are the ion and electron masses, respectively

B is the magnitude of the local magnetic eld, f

pe

=[(n

e

e

2

/ε

0

m

e

)

1/2

]/2π, with n

e

the volume density of electrons and ε

0

the

permittivity of vacuum, and f

pi

=[(n

i

Z

i

2

e

2

/ε

0

m

i

)

1/2

]/2π, with Z

i

the charge state of the ions in the fusion plasma

At the densities and magnetic eld values necessary for fusion, f

ci

∼100MHz, f

LH

∼5GHz, and f

ce

∼140to 250GHz.

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