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arXiv 1807.07705physics.plasm-ph
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稀薄等离子体中高次谐波电子回旋辐射的半解析形函数

Semi-analytic Shape Function of High-harmonic Electron Cyclotron Emission in Tenuous Plasma

J. Leem, J. Jo, G. S. Yun

摘要:

半解析表达式的电子回旋辐射(ECE)形状函数的任意高次谐波开发。用易于积分的测试函数拟合${m}^{\mathrm{th}}$谐波ECE形函数的被积函数,该测试函数由等离子体温度$T_e$、谐波数$m$和发射角$θ$参数化。通过对任意情况下的试验被积函数与回归分析和归纳研究得到的拟合参数进行积分,得到了高次谐波ECE发射率的半解析公式。所开发的表达式匹配的数值积分ECE形状函数非常好,原始形状函数和半解析形状函数之间的整体差异进行评估。该表达式可用于高次谐波ECE谱的快速分析。

英文摘要:

Semi-analytic expressions for the electron cyclotron emission (ECE) shape function are developed for arbitrary high harmonics. The integrand of the ${m}^{\mathrm{th}}$ harmonic ECE shape function is fitted with the readily-integrable test function which is parameterized by plasma temperature $T_e$, harmonic number $m$ and emission angle $θ$. Semi-analytic formulae for high harmonic ECE emissivity are obtained by integrating the test integrand with the fitting parameters gained from the regression analysis as well as the inductive studies for arbitrary cases. The developed expression matches the numerically-integrated ECE shape function very well and the overall differences between original shape functions and semi-analytic shape functions are evaluated. The expression can be used for rapid analysis of high-harmonic ECE spectra.

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