For the laser beam propagation through strong and deep turbulence, a discrepancy between the wave optics simulation and existing theoretical predication has been reported. In this paper, from the perspective of short-exposure and long-exposure point spread functions and optical transfer functions, the instantaneous speckle profiles that accurately reflect turbulence features and diffraction effect are generated. their statistical behaviors, from average short exposure beam sizes, on-axis scintillation indices and to the corresponding probability density functions, are carefully examined and favorably compared with their analytical counterparts. We believe this work will be helpful in a better understanding of the optical properties of deep turbulence and wave optics simulation and bridging the gap between them.
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