Toroidal wave functions
نویسندگان
چکیده
منابع مشابه
Dissipative Toroidal Drift Wave
The eeects of atomic physics processes such as ionization, charge exchange, and radiation on the linear stability of dissi-pative drift waves are investigated in toroidal geometry both numerically and analytically. edge parameters, overall linear stability is determined by the competition between the destabilizing innuence of ionization and the stabilizing eeect due to the electron temperature ...
متن کاملComputing Toroidal Functions for Wide Ranges of the Parameters Computing Toroidal Functions for Wide Ranges of the Parameters
Associated Legendre functions of half-odd degree and arguments larger than one, also known as toroidal harmonics, appear in the solution of Dirichlet problems with toroidal symmetry. It is shown how the use of series expansions, continued fractions and uniform asymptotic expansions, together with the application of recurrence relations over degrees and orders, permits the evaluation of the whol...
متن کاملOn wave–particle interaction in axisymmetric toroidal systems
A general formalism is developed to describe the interaction of charged particles with electromagnetic waves in terms of coupled finite difference mapping equations that incorporate tokamak topology. The approach is based on considering non-adiabatic changes in the constants of particle motion and it covers a range of wave–particle resonance frequencies, from the precessional to cyclotron frequ...
متن کاملToroidal Imploding Detonation Wave Initiator for Pulse Detonation Engines
Imploding toroidal detonation waves were used to initiate detonations in propane–air and ethylene–air mixtures inside of a tube. The imploding wave was generated by an initiator consisting of an array of channels filled with acetylene–oxygen gas and ignited with a single spark. The initiator was designed as a low-drag initiator tube for use with pulse detonation engines. To detonate hydrocarbon...
متن کاملFast-wave current drive in a toroidal plasma.
Fast-wave current drive is demonstrated in Hw Princeton ACT -I toroidal device. The fast Alfven wave, in the range of high ion-cyclotron harmonics, produced 40 A of current from 1 kW of rf power coupled into a plasma hy a fast-wave locp antenna. This wave excites a steady current by damping on the energetic tail of the electron distribution function in the same way as lower-hybrid current drive...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1958
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/104001