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

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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.

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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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