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The closed-form expressions for the Rayleigh range z R and the M 2 -factor of truncated laser beams with amplitude modulations (AMs) and phase fluctuations (PFs) in turbulence are derived, and the beam quality is studied by taking the z R and the M 2 -factor as the characteristic parameters of beam quality. The M 2 -factor of truncated laser beams with AMs and...
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