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I am going through currently the experiments on "Ultrafast Diffraction". Would you please explain with some significant degree of conceptual details how I can find the transverse Doppler shift suffered by the Probe pulse from experimental data or experimental setup.

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In the experimental arrangement of the paper "Pump–Probe Microscopy: Theory, Instrumentation, and Applications" by Pu-Ting Dong and Ji-Xin Cheng; it is mentioned that the probe pulse is passed through a Radio frequency compression cavity, in which the transverse Doppler shift has been occurred. The details of the method and calculation may be found in the above mentioned paper.

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