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One-dimensional analytical model of the phase shift due to Bragg backscattering of an ordinary wave by large amplitude density fluctuations

I Boucher, C Fanack, S Heuraux, G Leclert, F Clairet, X L Zou1998年Plasma Physics and Controlled FusionIF 2.2出版社

The phase shift due to the resonant Bragg scattering of an ordinary wave in a fluctuating plasma is numerically computed for large amplitude density fluctuations, i.e. well beyond the Born approximation. The phase response (the phase shift against the perturbation position in the density gradient) is strongly distorted with respect to the small amplitude case, and phase jumps occur. For localized quasi-monochromatic fluctuations, the results are explained by an analytical model where the Helmholtz equation is approximated by a Mathieu equation. The maximum phase shift and the phase jumps are well predicted by the model. It turns out that the theoretical predictions also apply to moderate amplitudes. For an actual phase measurement where the number of different frequencies (i.e. the number of perturbation positions) is finite, most phase jumps are missed, due to the steepness of the phase jumps, and the measured phase shift increases continuously.

日本語訳

揺らぎのあるプラズマ中における通常波の共鳴ブラッグ散乱による位相シフトを、大きな密度揺らぎ振幅、すなわちボルン近似をはるかに超えた領域に対して数値的に計算した。位相応答(密度勾配中の摂動位置に対する位相シフト)は、小さな振幅の場合と比較して強く歪み、位相ジャンプが生じる。局在した準単色揺らぎに対しては、ヘルムホルツ方程式をマチュー方程式で近似する解析モデルによって結果が説明される。最大位相シフトと位相ジャンプはこのモデルによってよく予測される。理論的予測は中程度の振幅にも適用できることが判明した。実際の位相測定において、異なる周波数(すなわち摂動位置)の数が有限である場合、位相ジャンプの急峻さのためにほとんどの位相ジャンプは見逃され、測定される位相シフトは連続的に増加する。

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