## 1 Introduction  
As a professional control system that utilizes active laser detection technology to achieve precise detonation of a weapon's explosives, the working performance of laser proximity fuzes is highly susceptible to the influence of aerosol particles in the atmosphere [1, 2]. Combustion or chemical reactions produce a large number of small smoke particles, which rapidly diffuse and remain suspended for long periods of time, to form dense clouds of smoke in the working scene. Under low-altitude operating conditions, an actively emitting laser is subject to severe scattering effects and transmission energy attenuation [3, 4]. The waveform distortion of the target echo results in the unsaturation of ground laser fuzes, which can cause false alarms, missed alarms, and extreme malfunctions [5]. In a dense smoke environment, frequency-modulated continuous-wave (FMCW) laser fuzes have a high anti-electromagnetic interference capability [6], which can use the beat signals to obtain frequency-domain characteristics and information such as target distance. In aerosol environments such as smoke, laser multipath transmission effects can cause waveform expansion of the laser echo signal [7]. Laser wavelength not only changes the amplitude of the echo signal, but laser multiple scattering is also affected by the change in wavelength [8; 9]. In addition, the type of aerosol environment affects the amplitude of the laser backscattered echoes, and the waveform of the echo signal is also affected by aerosol-specific parameters [10; 11]. Thus, negative impacts on this system can be caused by false alarms and false positive situations. To improve laser fuze detection performance, the focus is to improve the anti-interference ability of laser fuzes for aerosols such as smoke [12]. In fact, the space volume, actual power consumption, and development costs of laser fuzes can be severely limited [13]. Under these conditions, target echo amplitude enhancement of the laser echo signal from the structure of the laser detector is a reasonable and effective approach [14]. For a smoke scene, designing and adopting multiple laser coherent emission fuze structures is an effective means of enhancing detection performance, which can equivalently increase the overall power of the emitting laser by setting up multiple lasers [15]. However, smoke contains microparticles and combustibles from the air, with particle sizes normally ranging from a few micrometers to tens of micrometers, where the dynamics of smoke particles are mainly characterized by diffusion and deposition [16]. Under conditions of constant-smoke visibility, it is necessary that there should be variability in the internal structure of the smoke environment, and the number of particles, particle size, and suspension locations are also variable and indeterminate. The scattering and transmission processes of photons colliding with smoke particles can be affected, which can lead to a reduction in the confidence in laser fuze target characteristics. In such cases, a multiplexed laser emitting structure will be more affected by the combined effects of the laser planar layout and the intersecting attitude of the laser detector with the ground target than by the individual lasers. The relative degree to which the emitted photons are spatially scattered with uncertainty by the smoke particles is greater, and the number of photons actually captured at the receiver of the laser detector is affected by the uncertainty, which reduces the effect of the amplitude enhancement of the echo signal under multiple emitted lasers. The root cause of the above situations is the difficulty in reflecting the important influence of the spatial properties of smoke particles in laser transmission models. A constructed theoretical model only outputs light range and direction for the numerical results of a single smoke particle, which ignores the objective effect and correlation of the three-dimensional and spatial properties within the smoke cloud.