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The salient features of the theory of electron-cyclotron absorption and emission for the parameter range for which the radiation spectrum has a line structure are reviewed and contrasted with erroneous results of a recent paper by Arunasalam [Phys. Fluids B 4, 1643 (1992)]. In particular, (i) the relativistic and nonrelativistic forms of the dielectric tensor relevant to describing the electron-cyclotron absorption are considered, their range of validity is displayed, and on this basis an incorrect suggestion in the above paper on how to obtain the relativistic dielectric tensor from the nonrelativistic one is refuted; (ii) the crucial role of the thermal effects on the mode polarization, which in turn affects the absorption profile around the fundamental frequency, is emphasized, showing that using a ‘‘Trubnikov O-mode factor’’ as advocated in the above paper is not correct; (iii) the profile of the absorption around the fundamental frequency results to be single humped in all cases, in contrast to the assertion in the above paper that the absorption profile of the first harmonic O mode is double humped; (iv) the radiation from a nonuniformly magnetized plasma is evaluated for a bi-Maxwellian electron distribution showing, in particular, that the nonrelativistic treatment used in the above paper is incorrect for perpendicular propagation; (v) an expression for the local radiation temperature obtained in the above paper and upon which the analysis of the emission spectra of supershot plasmas in the Tokamak Fusion Test Reactor (TFTR) has been based by Taylor et al. [Proceedings of the Eighth Workshop on Electron Cyclotron Emission and Heating, Gut Ising, Germany, 1992, (Max-Planck Institut für Plasmaphysik, Garching, 1993), IPP III/186, Vol. 1, p. 277] is shown not to be valid.
The salient features of the theory of electron-cyclotron absorption and emission for the parameter range for which the radiation spectrum has a line structure are reviewed and contrasted with erroneous results of a recent paper by Arunasalam [Phys. Fluids B 4, 1643 (1992)]. In particular, (i) the relativistic and nonrelativistic forms of the dielectric tensor relevant to describing the electron-cyclotron absorption are considered, their range of validity is displayed, and on this basis an incorrect suggestion in the above paper on how to obtain the relativistic dielectric tensor from the nonrelativistic one is refuted; (ii) the crucial role of the thermal effects on the mode polarization, which in turn affects the absorption profile around the fundamental frequency, is emphasized, showing that using a ‘‘Trubnikov O-mode factor’’ as advocated in the above paper is not correct; (iii) the profile of the absorption around the fundamental frequency results to be single humped in all cases, in contrast to the assertion in the above paper that the absorption profile of the first harmonic O mode is double humped; (iv) the radiation from a nonuniformly magnetized plasma is evaluated for a bi-Maxwellian electron distribution showing, in particular, that the nonrelativistic treatment used in the above paper is incorrect for perpendicular propagation; (v) an expression for the local radiation temperature obtained in the above paper and upon which the analysis of the emission spectra of supershot plasmas in the Tokamak Fusion Test Reactor (TFTR) has been based by Taylor et al. [Proceedings of the Eighth Workshop on Electron Cyclotron Emission and Heating, Gut Ising, Germany, 1992, (Max-Planck Institut für Plasmaphysik, Garching, 1993), IPP III/186, Vol. 1, p. 277] is shown not to be valid.
Synchrotron radiation has markedly different behavior in [Formula: see text] and in [Formula: see text] plasma. We show that high-energy electrons that occupy the tail of velocity distribution function have disproportionate impact on power loss of [Formula: see text] plasma. If electrons with energy more than cutoff energy are redistributed while keeping the Maxwellian distribution function below cutoff energy intact, both emission and absorption of synchrotron radiation act to decrease the lost power. These novel radiation transport effects in non-equilibrium plasma suggest large utility in the deconfinement of high-energy electrons to reduce synchrotron radiation in applications where the radiation is deleterious.
Powerem/ssion byfos_ protium(i.e.,pmu_ sad/oralpha pmictes)_ tokamak plums in their ion cyclotron range of frequencies (ICRP)and attheir spin-flip resonaece fi_quency is calculated for some specific model fusion product velocity-space distribution functions. The background plasma ofsaydeu_=ium (D)is assumed tobein equilierinm (ornonequilibrium) with a Maxwellian distribution both for the e_ and ions (with a possible tempemn_ anisow_y and drift velocity for the D ions). The fusion preduct velocity distributio_ analyzed here are:-(1) A mmoenergetic velocity space ring dis_bufion. (2) A monc_efl_tic _ velocity space spherical shell distribution.(3) An tnisoeropic MaxwelUan dislributkm with Tj. t, Til and with. appreciable drift velocity along the confining magnetic field. Single "dressed" test particle sponmneons emission calculations are presented fn_t and the radiation temperatml for ion cyclomm emission (ICE) is analyzed both for black-body _ and noeequih'brium conditions. Thresholds forinsutbility andovermbifity (i.e.,nel_iverad/atim tempmmm)eruditions arethen and qnm_tln_ar al_ _ theoria of the e_8_etif ion cyclou_ modes are discussed. Dirdn__om betweea "kineticorcausal inmbih" "ues" and"hydrod_ instabilities" are drawn and some numerical esfimaws are presented for typical tokamak parameten. Semiquantitative zemarks are offered on wave _bility, mode conversion, and parametric decay instabilities u possible º,i,m, for spatially localized ICE Cakulafions are carried out bothfork, =0 forI_,, 0. Theera:ts of thetemp=ammanisotropy (i.e..Tj.,, Tl0andlarge eh-ifr velocitiesin thepa-alkldingo, arealto examined.Fually.protmspin-flipresonance emissionand sheer'pCm calculations areaimlm=eared both for_ eqeitibrium conditions andfor an"inverted" pol_dafio, ofrates. Themedmd ofanalysis is thefamiliar _ eqeatim • approach" of nonequilibrium quantum statisd_l mechanic_, based on the Einstein A and B ¢ceffi_enls and the principle of detailed l_ce. Reasonably good _t is obtained between. ._eory and ex_n_ llml_lll,,_I I II
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