Kinetic treatment of parallel gradient nonuniformity for the ICRF heating: A fourier integral approach
We study the generally nonlocal Vlasov-Maxwell wave propagation and absorption problem for an arbitrarily nonuniform plasma. The Fourier transform of the nonlocal dielectric response kernel, K(r,k), is constructed by integration along particle orbits in the nonuniform field. Although a finite Larmor radius expansion of the transverse particle motion still applies, the phase integrals which comprise the usual plasma dispersion function are altered, containing an additional parameter characterizing the parallel field gradient. The use of realistic phase decorrelation estimates over a single bounce orbit leads to a reduction of the phase integrals to a tractible form. We numerically solve a 1-D sheared field version of the resultant integral equation describing the mode conversion physics. Significant changes are found for small k/sub parallel/ values. In addition, local absorption in the resonance zone appears to be stratified in conjunction with the rf-particle phase correlation which occurs for particles passing through the localized resonance.
- Research Organization:
- University of Michigan, Ann Arbor, MI 48109
- OSTI ID:
- 6930783
- Report Number(s):
- CONF-870570-; TRN: 88-027497
- Journal Information:
- AIP Conf. Proc.; (United States), Vol. 159:1; Conference: 7. topical conference on applications of radio-frequency power to plasmas, Kissimmee, FL, USA, 4 May 1987
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
INHOMOGENEOUS PLASMA
DIELECTRIC PROPERTIES
ENERGY ABSORPTION
LARMOR RADIUS
WAVE PROPAGATION
BOLTZMANN-VLASOV EQUATION
FOURIER TRANSFORMATION
INTEGRAL EQUATIONS
MAGNETIC FIELDS
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
RESONANCE
SCATTERING
THEORETICAL DATA
ABSORPTION
DATA
DIFFERENTIAL EQUATIONS
ELECTRICAL PROPERTIES
EQUATIONS
INFORMATION
INTEGRAL TRANSFORMATIONS
NUMERICAL DATA
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
PLASMA
TRANSFORMATIONS
700108* - Fusion Energy- Plasma Research- Wave Phenomena