Abstract
Based on the moiré effect and the Fresnel diffraction theory, a novel technique for diagnosing the beam properties is presented and analyzed, which is especially suitable for X-ray lasers. The method makes it possible, in a one-shot experimental measurement, to determine the beam quality factor M2, the effective radius of curvature, the beam width, the far-field divergence, and the waist location and radius as well as the spatial coherence and its evolution. Numerical simulation proves the validity of the method. Note that the novel moiré technique opens an efficient road, for the first time, to fully diagnose the spatial properties of X-ray lasers.
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Matthews, D., Rosen, M., Brown, S. et al., X-ray laser research at the Lawrence Livermore National Laboratoy Nova laser facility, J. Opt. Soc. Am. B, 1987, 4(4): 575.
Wang, S., Guan, Y., Zhou, G. et al., Experimental investigation of high-gain Ne-like Ge soft-X-ray laser by double-massive-target coupling, Sci. in Chin. (in Chinese), Ser. A, 1991, (2): 151.
Wang, S., Guan, Y., Zhou, G. et al., Experiment research on saturated-gain for soft X-ray laser from neon-like germanium plasma, Chin. Phys. Lett., 1991, 8(12): 618.
Kodama, R., Neely, D., Kato, Y. et al., Generation of small-divergence soft X-ray laser by plasma waveguiding with a curved target, Phys. Rev. Lett., 1994, 73(24): 3215.
Carillon, A., Chen, H. Z., Dhez, P. et al., Saturated and near-diffraction-limited operation of an XUV laser at 23.6 nm, Phys. Rev. Lett., 1992, 68(19): 2917.
Nilsen, J., Moreno, J. C., Nearly monochromatic lasing at 182A in neonlike selenium, Phys. Rev. Lett., 1995, 74(17): 3376.
Zhang, J., MacPhee, A. G., Lin, J. et al., A saturated X-ray laser beam at 7 nanometers, Science, 1997, 276: 1097.
Bélanger, P. A., Beam propagation and the ABCD ray matrices, Opt. Lett., 1991, 16(4): 196.
Trebes, J. E., Nugent, K. A., Mrowka, S. et al., Measurement of the spatial coherence of a soft-X-ray laser, Phys. Rev. Lett., 1992, 68(5): 588.
Lu, P., Fill, E., Li, Y. et al., Spatial coherence of prepulse-induced neonlike X-ray lasers, Phys. Rev. A, 1998, 58(1): 628.
Albert, F., Rus, B., Zeitoun, Ph. et al., New approach for measurement of the X-ray laser transverse coherence, in 5th Int. Conf. on X-Ray Lasers, Lund, Sweden: IOP Publishing Ltd., 1996, 427.
Celliers, P., Weber, F., Da Silva, L. B. et al., Fringe formation and coherence of a soft-X-ray laser beam illuminating a mach-zehnder interferometer, Opt. Letts., 1995, 20(18): 1907.
Karny, Z., Lavi, S., Kafri, O., Direct determination of the number of transverse modes of a light beam, Opt. Lett., 1983, 8(7): 409.
Liu Liren, Talbot and Lau effects on incident beams of arbitrary wavefront, and their use, Appl. Opt., 1989, 28(21): 4668.
Deng, X., Guo, H., Cao, Q., The invariable integral and statistical equations for a paraxial beam in free space, Sci. in China (in Chinese), Ser. A, 1997, 27(1): 64.
Keren, E., Kafri, O., Diffraction effects in moiré deflectometry, J. Opt. Soc. Am. A, 1985, 2(2): 111.
Carter, W. H., Wolf, E., Coherence and radiometry with quasihomogeneous planar sources, J. Opt. Soc. Am., 1977, 67(6): 785.
Bastiaans, M. J., Application of the Wigner distribution function to partially coherent light, J. Opt. Soc. Am. A, 1986, 3(8): 1227.
London, R. A., Strauss, M., Rosen, M. D., Modal analysis of X-ray laser coherence, Phys. Rev. Lett., 1990, 65(5): 563.
Feit, M. D., Fleck Jr., J. A., Wave-optics description of laboratory soft-X-ray lasers, J. Opt. Soc. Am. B, 1990, 7(10): 2048.
Yang, J., Fan, D., Wang, S. et al., Generalized matrix-optics description of soft-X-ray lasers, J. Opt. Soc. Am. B, 1999, 16(6): 1016.
Nugent, K. A., Trebes, J. E., Coherence measurement technique for short-wavelength light sources, Rev. Sci. Instrum., 1992, 63(4): 2146.
Afshar-rad, T., Willi, O., A novel technique for X-ray laser beam characterization, Appl. Phys. B, 1990, 50: 287.
Gori, F., Mode propagation of the field generated by Collett-Wolf Schell-model sources, Opt. Comm., 1983, 46: 149.
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Yang, J., Sun, J., Wang, T. et al. Fully diagnosing the spatial properties of X-ray lasers. Sci. China Ser. A-Math. 44, 103–112 (2001). https://doi.org/10.1007/BF02872289
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DOI: https://doi.org/10.1007/BF02872289