全息干涉诊断等离子体电子密度的数值研究
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摘要: 详细讨论了全息干涉数据的物理意义,并对用Abel变换反演等离子体密度进行了数值研究。采用了将等离子体折射率作有限的Fourier Bessel展开,在最小均方差的意义下求得展开系数,即进行Abel变换反演。数值计算结果表明,只要电子密度足够低(约0.1倍对应于探针光波长的临界密度),即使成象系统的物平面与对称轴有所偏离,所采用的方法仍有相当高的精度。Abstract: Holographic interferometric data are interpreted in detail, and Abel inversion of measurements of optical path length through refracting cylindrical symmetric plasmas is discussed and numerically studied. By expanding refractive index of plasma as truncated Fourier Bessel series and determining the expanded coefficients in the least-mean-square sense, Abel inversion is realized. Numerical results show that, if electron density of plasma is low, i.e., about one tenth of the critical density of probe light, the precision of the method used in the paper is satisfying, even if the object plane of image system deviates a little from the symmetrical axial of plasmas.
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Key words:
- holographic interferometry /
- abel inversion
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