The high-precision reconstruction of an underwater neighborhood sound field is crucial for studying and analyzing the structural characteristics of neighborhood sound field and improving the underwater acoustic sensing performance. The deflection effect of the laser beam passing through the acoustic field carries the gradient and pressure information of the acoustic field when the laser beam width is much smaller than the acoustic wave wavelength. This study provides a data sensing basis for sound field reconstruction by employing the Kirchhoff integral theorem. The calculation method of a virtual extended acoustic field aperture is presented herein by using the density of the laser sensing acoustic field, which further approaches the theoretical requirement of the infinite integral interval in the Kirchhoff integral theorem. The results of the proposed sound field reconstruction ideas and methods are verified in an underwater neighborhood space. The results show that, compared with direct acoustic holography, the proposed acoustic field reconstruction method improves the peak signal-to-noise ratio by 5.5 dB, thereby providing a new feasible idea for developing high-precision neighborhood acoustic field sensors.