Diagnostics of Inhomogeneous Plasma Layers Using Tonks --- Dattner Resonances
| Authors: Kozyrev A.V., Dokukin M.Yu. | Published: 18.03.2026 |
| DOI: | |
| Category: Physics | Chapter: Instrumentation and Methods of Experimental Physics | |
| Keywords: plasma waves, refractive index, plasma resonances, electron temperature, plasma density, Debye radius | |
Abstract
When diagnosing thin plasma inhomogeneous layers formed near the walls of various types of electric discharge devices (near the surfaces of electrodes, metal and dielectric screens), it can be difficult, and sometimes impossible, to use traditional methods of active (Langmuir and microwave probes) and optical (spectroscopy) diagnostics. These methods have some disadvantages related to the possible distortion of the plasma under study and the relatively low spatial resolution. In addition, the use of these contact methods in narrow wall layers is often limited by large heat fluxes, and the use of passive optical methods is hampered by the problem of radiation output from very small areas. In an inhomogeneous plasma, there is a connection between electro-magnetic waves excited from the outside and plasma waves (provided that there is a region where the phase velocities and frequencies of these waves are close). Then, the incident electromagnetic wave transforms into a plasma wave, and resonant effects may occur in the plasma formation. The article substantiates the possibility of using Tonks --- Dattner resonances for the diagnosis of plasma wall layers and provides a numerical verification of the proposed technique based on known experimental data
Please cite this article in English as:
Kozyrev A.V., Dokukin M.Yu. Diagnostics of inhomogeneous plasma layers using Tonks --- Dattner resonances. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2026, no. 1 (124), pp. 69--80 (in Russ.). EDN: XLQYLD
References
[1] Chirkov A.Yu. Nonlinear drift waves in shearing motion of plasma. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2008, no. 3 (30), pp. 3--15 (in Russ.). EDN: KBADRN
[2] Heald M.A., Wharton C.B. Plasma diagnostic with microwaves. Wiley, 1965.
[3] Dattner A. Experiments on plasma resonance. Ericsson Technics, 1963, vol. 19, no. 1, pp. 3--28.
[4] Parker J.V., Nickel J.C., Gould R.W. Resonance oscillations in a hot nonuniform plasma. Phys. Fluids, 1964, vol. 7, pp. 1489--1500. DOI: https://doi.org/10.1063/1.1711404
[5] Hart D.A., Oleson N.L. Experimental study of Tonks --- Dattner resonances in rare-gas plasmas. J. Appl. Phys., 1969, vol. 40, no. 11, pp. 4541--4553. DOI: https://doi.org/10.1063/1.1657230
[6] Golant V.E., Piliya A.D. Linear transformation and absorption of waves in a plasma. Sov. Phys. Usp., 1972, vol. 14, no. 4, pp. 413--437. DOI: https://doi.org/10.1070/PU1972v014n04ABEH004730
[7] Kay A., Mentzoni M. Tonks --- Dattner resonances and their application in plasma diagnostic. Phys. Scr., 1978, vol. 18, no. 2, art. 146. DOI: https://doi.org/10.1088/0031-8949/18/2/010
[8] Mentzoni M. Tonks --- Dattner diagnostics of electron density profiles. Phys. Scr., 1983, vol. 27, no. 4, art. 311. DOI: https://doi.org/10.1088/0031-8949/27/4/014
[9] Lustig C.D. Microwave noise resonances from a plasma column. Phys. Lett., 1964, no. 9, pp. 315--316. DOI: https://doi.org/10.1016/0031-9163(64)90379-8
[10] Kozyrev A.V. Diagnostics of charged particle distributions of edge plasma at Tonks --- Dattner resonances. Herald of the Bauman Moscow State Technical University, Series Instrument Engineering, 1994, no. 4 (17), pp. 81--86 (in Russ.).
[11] Burykina Yu.I., Kozyrev A.V. [Spline software module for resonance diagnostics of edge plasma]. Neobratimye protsessy v prirode i tekhnike. Tr. 7 Vseros. konf. T. 2 [Irreversible Processes in Nature and Technology. Proc. 7th Russ. Conf. Vol. 2]. Moscow, BMSTU Publ., 2013, p. 102 (in Russ.).
[12] Rukhadze A.A., Silin V.A. Elektromagnitnye svoystva plazmy i plazmopodobnykh sred [Electromagnetic properties of plasma and plasma-like media]. Moscow, URSS Publ., 2012.
[13] Bekefi G. Radiation processes in plasmas. Wiley, 1966.
[14] Kozyrev A.V. [Resonance diagnostics of smoothly inhomogeneous plasma on Bernstein modes]. Neobratimye protsessy v prirode i tekhnike. Tr. 12 Vseros. konf. T. 2 [Irreversible Processes in Nature and Technology. Proc. 12th Russ. Conf. Vol. 2]. Moscow, BMSTU Publ., 2023, pp. 360--361 (in Russ.). EDN: FJJKVY
[15] Batanov T.M., Silin V.A. Experimental study of nonlinear dissipation of electro-magnetic waves in an inhomogeneous plasma with rare collisions. Trudy FIAN, 1985, vol. 92, pp. 3--34 (in Russ.).
[16] Shiozawa T., Seikai S. Scattering of electromagnetic waves from an inhomogeneous magnetoplasma column moving in the axial direction. IEEE Trans. Antennas Propag., 1972, vol. 20, no. 4, pp. 455--463. DOI: https://doi.org/10.1109/TAP.1972.1140241
[17] Ramakrishnan P., Raffetto M. Accuracy of finite element approximations for two-dimensional time-harmonic electromagnetic boundary value problems involving non-conducting moving objects with stationary boundaries. ACES Journal, 2021, vol. 33, no. 6, pp. 585--596.
[18] Gusakov E.Z., Popov A.Yu. Methods for reducing anomalous losses in ECRH experiments at second resonance harmonic. Plasma Phys. Rep., 2022, vol. 48, no. 4, pp. 327--336. DOI: https://doi.org/10.1134/S1063780X22040067
[19] Zhukov V.I., Karfidov D.M. Microwave low-pressure gas discharge sustained by a standing surface wave in the dipolar mode. Fizika plazmy, 2023, vol. 49, no. 3, pp. 260--269 (in Russ.). DOI: https://doi.org/10.31857/S0367292122600820
[20] Kotvitskiy A.Ya., Moralev I.A., Ustinov M.V., et al. Excitation of stationary cross-flow instability modes using a plasma actuator based on dielectric barrier discharge. High Temp., 2023, vol. 61, no. 6, pp. 764--769. DOI: https://doi.org/10.1134/S0018151X23060020
