Modified relation for laser-plasma electron density measurement using x-ray interferometry

Hong Guo; Hua Tang; Xiquan Fu; Yunli Qiu; Mingwei Liu; Song Yu; Guangshan Lu; Dongmei Deng

doi:10.1117/12.478980

25 June 2003 Modified relation for laser-plasma electron density measurement using x-ray interferometry

Hong Guo, Hua Tang, Xiquan Fu, Yunli Qiu, Mingwei Liu, Song Yu, Guangshan Lu, Dongmei Deng

Proceedings Volume 4969, Laser Resonators and Beam Control VI; (2003) https://doi.org/10.1117/12.478980
Event: High-Power Lasers and Applications, 2003, San Jose, CA, United States

Abstract

In this paper, the linear propagation of x rays in laser produced plasma is studied theoretically, with a quantum mechanical technique and the so-called V representation, where the representation transformation is made by using the potential Hamiltonian V. A modified expression relating the phase difference between the probe and the reference x ray light to the plasma electron density is derived, in which the electron density gradient and its higher-order effects are taken into account. The coupling relation between phase and amplitude of x-ray is derived, and the solutions with higher-order corrections are given. An important parameter is given, which is related to the errors of the electron density measurement using x-ray interferometry. It is depicted that providing the parameter is less than one, the x-ray interferometry can be used for the measurement of the electron density, while, the greater value of the parameter, the higher order modifications need to make.

Citation Download Citation

Hong Guo, Hua Tang, Xiquan Fu, Yunli Qiu, Mingwei Liu, Song Yu, Guangshan Lu, and Dongmei Deng "Modified relation for laser-plasma electron density measurement using x-ray interferometry", Proc. SPIE 4969, Laser Resonators and Beam Control VI, (25 June 2003); https://doi.org/10.1117/12.478980

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KEYWORDS

X-rays

Plasma

Interferometry

Laser interferometry

Beam propagation method

Geometrical optics

Error analysis

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