1995
DOI: 10.1103/physreva.51.2361
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Propagation of mutual coherence in refractive x-ray lasers using a WKB method

Abstract: We derive an expression for the mutual coherence function for a lasing medium with spatially varying refraction and gain using a ray-tracing (WKB) formalism. The expression is valid in the limit of large refractive Fresnel number, which is equal to the geometric Fresnel number multiplied by the ratio of laser length to refraction scale length. For quasihomogeneous sources, the coherence function has the form of a Fourier transform of a source function which is modulated by a Gaussian whose width varies inverse… Show more

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Cited by 12 publications
(5 citation statements)
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“…Several theoretical studies have been conducted to understand the spatial coherence of soft x-ray amplifiers [6][7][8][9][10]. In general they predict an improvement of the coherence with amplifier length.…”
mentioning
confidence: 99%
“…Several theoretical studies have been conducted to understand the spatial coherence of soft x-ray amplifiers [6][7][8][9][10]. In general they predict an improvement of the coherence with amplifier length.…”
mentioning
confidence: 99%
“…The parabolic approximation of the medium perturbation is used in these cases. Furthermore, for the complex medium perturbation the ray trajectories curvature caused by the imaginary part of the perturbation is usually neglected [4][5][6] , or the solution is found for a purely imaginary perturbation of the medium and the δ-correlated initial field 1,2,3,7,8 . For media which dielectric constant distribution differs essentially from the parabolic form, the above method cannot be used because one cannot find an analytical form of the response function.…”
Section: Introductionmentioning
confidence: 99%
“…finding the response function of the medium 1 . When finding this response function, the path integral (continuous integral) method 2 , the method involving expansion in modes 1,3 , or WKB method with complex ray trajectories [4][5][6] are usually employed. The parabolic approximation of the medium perturbation is used in these cases.…”
Section: Introductionmentioning
confidence: 99%
“…Theoretical investigation of collisionally pumped XRLs is generally through the use of a hydrodynamics-atomic physics package generating a time-dependent description of the laserproduced plasma which is post-processed by either a ray-tracing [13] or a wave optics [14][15][16] treatment. Furthermore, the 2J + 1 states associated with a given lasing level (αJ ) are assumed to react as a whole to the radiation field, and the rate equations which describe populations refer to levels and not specifically to states.…”
Section: Introductionmentioning
confidence: 99%