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Approximate analytic expressions using Stokes model for tokamak polarimetry and their range of validity

F P Orsitto, S E Segre, JET Contributors2019年Plasma Physics and Controlled FusionIF 2.2出版社

The analysis of the polarimetry measurements has the aim of validating models (De Marco and Segre 1972 Plasma Phys.14 245), with a careful attention to the clarification of their limits of application. In this paper a new approximation method is introduced, the so-called special constant Omega direction (SCOD), which gives an analytical solution to the polarimetry exact Stokes model equations. The available approximate solutions (including SCOD) of the polarimetry propagation equations are presented, compared and their application limits determined, using a reference tokamak configuration, which is a simplified equilibrium for a circular tokamak. The SCOD approximation is compared successfully to the Stokes model in the context also of equilibria evaluated for two JET discharges. The approximation methods are analytical or very simple mathematical expressions which can also be used in equilibrium codes for their optimization.

日本語訳

偏光測定の解析は、モデルの検証を目的としており(De Marco and Segre 1972 Plasma Phys.14 245)、その適用限界の明確化に特に注意を払っている。本論文では、特殊な一定オメガ方向(SCOD)と呼ばれる新しい近似法を導入し、これは偏光測定の厳密なストークスモデル方程式に対する解析解を与えるものである。偏光伝播方程式に対する利用可能な近似解(SCODを含む)を提示し、比較し、その適用限界を、円形トカマクの簡略化された平衡状態である参照トカマク配位を用いて決定する。SCOD近似は、2つのJET放電に対して評価された平衡状態の文脈においても、ストークスモデルと良好に一致することが示される。これらの近似法は、解析的または非常に簡潔な数学的表現であり、平衡コードにおける最適化にも使用可能である。

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