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Title: TORBEAM 2.0, a paraxial beam tracing code for electron-cyclotron beams in fusion plasmas for extended physics applications

Abstract

The paraxial WKB code TORBEAM (Poli, 2001) is widely used for the description of electron-cyclotron waves in fusion plasmas, retaining diffraction effects through the solution of a set of ordinary differential equations. With respect to its original form, the code has undergone significant transformations and extensions, in terms of both the physical model and the spectrum of applications. The code has been rewritten in Fortran 90 and transformed into a library, which can be called from within different (not necessarily Fortran-based) workflows. The models for both absorption and current drive have been extended, including e.g. fully-relativistic calculation of the absorption coefficient, momentum conservation in electron–electron collisions and the contribution of more than one harmonic to current drive. The code can be run also for reflectometry applications, with relativistic corrections for the electron mass. Formulas that provide the coupling between the reflected beam and the receiver have been developed. Accelerated versions of the code are available, with the reduced physics goal of inferring the location of maximum absorption (including or not the total driven current) for a given setting of the launcher mirrors. Optionally, plasma volumes within given flux surfaces and corresponding values of minimum and maximum magnetic field can bemore » provided externally to speed up the calculation of full driven-current profiles. These can then be employed in real-time control algorithms or for fast data analysis.« less

Authors:
 [1];  [1];  [1];  [1];  [1];  [2];  [1];  [3];  [4];  [1];  [1];  [5];  [6];  [5];  [1];  [6];  [1];  [7];  [8];  [1] more »;  [3];  [1];  [9];  [1];  [10];  [1] « less
+ Show Author Affiliations
  1. Max Planck Inst. for Plasma Physics, Garching (Germany)
  2. Max Planck Inst. for Plasma Physics, Garching (Germany); Aalto Univ., Otaniemi (Finland). Dept. of Applied Physics
  3. Columbia Univ., New York, NY (United States)
  4. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  5. Inst. of Plasma Physics (IFP), CNR, Milan (Italy)
  6. Federal Inst. of Technology, Lausanne (Switzerland). Swiss Plasma Center (SPC)
  7. National Central Univ., Taoyuan City (Taiwan). Dept. of Physics and Center for Mathematics and Theoretical Physics
  8. Max Planck Inst. for Plasma Physics, Greifswald (Germany)
  9. Dutch Inst. for Fundamental Energy Research (DIFFER), Nieuwegein (Netherlands)
  10. Univ. of Bayreuth (Germany). Dept. of Physics and Theoretical Physics
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE
Contributing Org.:
Max Planck Computing and Data Facility (MPCDF), Garching (Germany)
OSTI Identifier:
1465668
Alternate Identifier(s):
OSTI ID: 1548832
Grant/Contract Number:  
AC02-09CH11466
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Computer Physics Communications
Additional Journal Information:
Journal Volume: 225; Journal Issue: C; Journal ID: ISSN 0010-4655
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 97 MATHEMATICS AND COMPUTING; Plasma physics; Magnetic confinement; Wave–plasma interactions; Electron cyclotron waves; Paraxial beam tracing

Citation Formats

Poli, E., Bock, A., Lochbrunner, M., Maj, O., Reich, M., Snicker, A., Stegmeir, A., Volpe, F., Bertelli, N., Bilato, R., Conway, G. D., Farina, D., Felici, F., Figini, L., Fischer, R., Galperti, C., Happel, T., Lin-Liu, Y. R., Marushchenko, N. B., Mszanowski, U., Poli, F. M., Stober, J., Westerhof, E., Zille, R., Peeters, A. G., and Pereverzev, G. V. TORBEAM 2.0, a paraxial beam tracing code for electron-cyclotron beams in fusion plasmas for extended physics applications. United States: N. p., 2018. Web. doi:10.1016/j.cpc.2017.12.018.
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Poli, E., Bock, A., Lochbrunner, M., Maj, O., Reich, M., Snicker, A., Stegmeir, A., Volpe, F., Bertelli, N., Bilato, R., Conway, G. D., Farina, D., Felici, F., Figini, L., Fischer, R., Galperti, C., Happel, T., Lin-Liu, Y. R., Marushchenko, N. B., Mszanowski, U., Poli, F. M., Stober, J., Westerhof, E., Zille, R., Peeters, A. G., & Pereverzev, G. V. TORBEAM 2.0, a paraxial beam tracing code for electron-cyclotron beams in fusion plasmas for extended physics applications. United States. doi:10.1016/j.cpc.2017.12.018.
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Poli, E., Bock, A., Lochbrunner, M., Maj, O., Reich, M., Snicker, A., Stegmeir, A., Volpe, F., Bertelli, N., Bilato, R., Conway, G. D., Farina, D., Felici, F., Figini, L., Fischer, R., Galperti, C., Happel, T., Lin-Liu, Y. R., Marushchenko, N. B., Mszanowski, U., Poli, F. M., Stober, J., Westerhof, E., Zille, R., Peeters, A. G., and Pereverzev, G. V. Mon . "TORBEAM 2.0, a paraxial beam tracing code for electron-cyclotron beams in fusion plasmas for extended physics applications". United States. doi:10.1016/j.cpc.2017.12.018. https://www.osti.gov/servlets/purl/1465668.
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@article{osti_1465668,
title = {TORBEAM 2.0, a paraxial beam tracing code for electron-cyclotron beams in fusion plasmas for extended physics applications},
author = {Poli, E. and Bock, A. and Lochbrunner, M. and Maj, O. and Reich, M. and Snicker, A. and Stegmeir, A. and Volpe, F. and Bertelli, N. and Bilato, R. and Conway, G. D. and Farina, D. and Felici, F. and Figini, L. and Fischer, R. and Galperti, C. and Happel, T. and Lin-Liu, Y. R. and Marushchenko, N. B. and Mszanowski, U. and Poli, F. M. and Stober, J. and Westerhof, E. and Zille, R. and Peeters, A. G. and Pereverzev, G. V.},
abstractNote = {The paraxial WKB code TORBEAM (Poli, 2001) is widely used for the description of electron-cyclotron waves in fusion plasmas, retaining diffraction effects through the solution of a set of ordinary differential equations. With respect to its original form, the code has undergone significant transformations and extensions, in terms of both the physical model and the spectrum of applications. The code has been rewritten in Fortran 90 and transformed into a library, which can be called from within different (not necessarily Fortran-based) workflows. The models for both absorption and current drive have been extended, including e.g. fully-relativistic calculation of the absorption coefficient, momentum conservation in electron–electron collisions and the contribution of more than one harmonic to current drive. The code can be run also for reflectometry applications, with relativistic corrections for the electron mass. Formulas that provide the coupling between the reflected beam and the receiver have been developed. Accelerated versions of the code are available, with the reduced physics goal of inferring the location of maximum absorption (including or not the total driven current) for a given setting of the launcher mirrors. Optionally, plasma volumes within given flux surfaces and corresponding values of minimum and maximum magnetic field can be provided externally to speed up the calculation of full driven-current profiles. These can then be employed in real-time control algorithms or for fast data analysis.},
doi = {10.1016/j.cpc.2017.12.018},
journal = {Computer Physics Communications},
issn = {0010-4655},
number = C,
volume = 225,
place = {United States},
year = {2018},
month = {1}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI:  10.1016/j.cpc.2017.12.018
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Figures / Tables:

Fig. 1 Fig. 1: Propagation of an X-mode, 140 GHz electron cyclotron beam in ASDEX Upgrade as calculated by TORBEAM, visualized as a projection along the cylindrical angle φ. The beam, launched at (R,Z) = (2.38, 0) m, is represented through its reference ray (tracing the maximum of the Gaussian amplitude envelope,more » red) and the beam width (“peripheral rays”) representing the intersection of the 1/e level of the amplitude with a vertical plane. The vertical lines show the position of the second (X-2, blue) and third (X-3, green) cyclotron harmonics.« less
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Fig. 1 (p. 2)figure
Fig. 2 (p. 7)figure
Fig. 3 (p. 8)figure
Fig. 4 (p. 9)figure
Fig. 5 (p. 10)figure
Fig. 6 (p. 11)figure
Table 1 (p. 13)table
Table 2 (p. 14)table
Fig. 7 (p. 15)figure
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