Direct construction of optimized stellarator shapes. Part 3. Omnigenity near the magnetic&nbsp;axis

Plunk, Gabriel G.; Landreman, Matt; Helander, Per

doi:10.1017/S002237781900062X

Direct construction of optimized stellarator shapes. Part 3. Omnigenity near the magnetic axis

Journal Article · Tue Nov 05 00:00:00 EST 2019 · Journal of Plasma Physics

DOI:https://doi.org/10.1017/S002237781900062X· OSTI ID:1597693

^[1]; ^[2]; Helander, Per ^[3]

Max Planck Inst. for Plasma Physics (IPP), Greifswald (Germany). European Atomic Energy Community (EURATOM); University of Maryland
Univ. of Maryland, College Park, MD (United States). Inst. for Research in Electronics and Applied Physics
Max Planck Inst. for Plasma Physics (IPP), Greifswald (Germany). European Atomic Energy Community (EURATOM)

>The condition of omnigenity is investigated, and applied to the near-axis expansion of Garren & Boozer (Phys. Fluids B, vol. 3 (10), 1991a, pp. 2805–2821). Due in part to the particular analyticity requirements of the near-axis expansion, we find that, excluding quasi-symmetric solutions, only one type of omnigenity, namely quasi-isodynamicity, can be satisfied at first order in the distance from the magnetic axis. Our construction provides a parameterization of the space of such solutions, and the cylindrical reformulation and numerical method of Landreman & Sengupta (J. Plasma Phys., vol. 84 (6), 2018, 905840616); Landreman et al. (J. Plasma Phys., vol. 85 (1), 2019, 905850103), enables their efficient numerical construction.

Research Organization:: Univ. of Maryland, College Park, MD (United States)

Sponsoring Organization:: Simons Foundation; USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)

Grant/Contract Number:: FG02-93ER54197

OSTI ID:: 1597693

Journal Information:: Journal of Plasma Physics, Journal Name: Journal of Plasma Physics Journal Issue: 6 Vol. 85; ISSN 0022-3778

Publisher:: Cambridge University PressCopyright Statement

Country of Publication:: United States

Language:: English

References (15)

Quasi-axisymmetric magnetic fields: weakly non-axisymmetric case in a vacuum Plunk, G. G.; Helander, Per Journal of Plasma Physics, Vol. 84, Issue 2 https://doi.org/10.1017/S0022377818000259	journal	April 2018
Direct construction of optimized stellarator shapes. Part 1. Theory in cylindrical coordinates Landreman, Matt; Sengupta, Wrick Journal of Plasma Physics, Vol. 84, Issue 6 https://doi.org/10.1017/S0022377818001289	journal	December 2018
Direct construction of optimized stellarator shapes. Part 2. Numerical quasisymmetric solutions Landreman, Matt; Sengupta, Wrick; Plunk, Gabriel G. Journal of Plasma Physics, Vol. 85, Issue 1 https://doi.org/10.1017/S0022377818001344	journal	January 2019
On rapid plasma rotation Helander, P. Physics of Plasmas, Vol. 14, Issue 10 https://doi.org/10.1063/1.2789989	journal	October 2007
Omnigenity as generalized quasisymmetry Landreman, Matt; Catto, Peter J. Physics of Plasmas, Vol. 19, Issue 5 https://doi.org/10.1063/1.3693187	journal	May 2012
Magnetic field strength of toroidal plasma equilibria Garren, D. A.; Boozer, A. H. Physics of Fluids B: Plasma Physics, Vol. 3, Issue 10 https://doi.org/10.1063/1.859915	journal	October 1991
Existence of quasihelically symmetric stellarators Garren, D. A.; Boozer, A. H. Physics of Fluids B: Plasma Physics, Vol. 3, Issue 10 https://doi.org/10.1063/1.859916	journal	October 1991
Steepest-descent moment method for three-dimensional magnetohydrodynamic equilibria Hirshman, S. P. Physics of Fluids, Vol. 26, Issue 12 https://doi.org/10.1063/1.864116	journal	January 1983
Omnigenity and quasihelicity in helical plasma confinement systems Cary, John R.; Shasharina, Svetlana G. Physics of Plasmas, Vol. 4, Issue 9 https://doi.org/10.1063/1.872473	journal	September 1997
Evaluation of 1/ν neoclassical transport in stellarators Nemov, V. V.; Kasilov, S. V.; Kernbichler, W. Physics of Plasmas, Vol. 6, Issue 12 https://doi.org/10.1063/1.873749	journal	December 1999
Bootstrap current and neoclassical transport in quasi-isodynamic stellarators Helander, P.; Nührenberg, J. Plasma Physics and Controlled Fusion, Vol. 51, Issue 5 https://doi.org/10.1088/0741-3335/51/5/055004	journal	February 2009
Development of quasi-isodynamic stellarators Nührenberg, Jürgen Plasma Physics and Controlled Fusion, Vol. 52, Issue 12 https://doi.org/10.1088/0741-3335/52/12/124003	journal	November 2010
Reply to the comment on ‘Bootstrap current and neoclassical transport in quasi-isodynamic stellarators’ Helander, P.; Nührenberg, J. Plasma Physics and Controlled Fusion, Vol. 53, Issue 3 https://doi.org/10.1088/0741-3335/53/3/038002	journal	February 2011
Intrinsic Ambipolarity and Rotation in Stellarators Helander, P.; Simakov, A. N. Physical Review Letters, Vol. 101, Issue 14 https://doi.org/10.1103/PhysRevLett.101.145003	journal	September 2008
Quasi-axisymmetric magnetic fields: weakly non-axisymmetric case in a vacuum Plunk, G. G.; Helander, P. arXiv https://doi.org/10.48550/arxiv.1801.02990	text	January 2018

Cited By (1)

Constructing stellarators with quasisymmetry to high order Landreman, Matt; Sengupta, Wrick Journal of Plasma Physics, Vol. 85, Issue 6 https://doi.org/10.1017/s0022377819000783	journal	November 2019

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