## 1 Introduction  
With the emergence and limited applications of the new concept of integrated air-space-ground communication, free-space laser communication, characterized by high speed, high directionality, and high security, has garnered increasing attention [1]. In particular, airborne platforms play an essential role in space laser networking. However, the complex environment within the atmosphere and the relative motion between different platforms poses significant challenges to the applications of wireless laser communication links. The propagation of laser signals in free space is subject to various interferences, such as atmospheric turbulence effects [2], atmospheric scattering effects [3], and aero-optical effects [4; 5; 6]. Also, the relative motion and mechanical vibrations can also lead to errors in laser beam pointing [7; 8]. Therefore, the motion characteristics of these airborne platforms within the atmosphere will inevitably affect the transmission of laser signals. Many previous contributions have analyzed the influence of atmospheric turbulence on the laser communication performance. The received light intensity has been simulated and the link performance has been evaluated by selecting a turbulence model to represent the effects of atmospheric turbulence [9; 10]. However, most of the aforementioned studies are based on the assumption that there are fixed transceivers at both ends. Since the moving platforms play an important role in space laser networks, it is necessary to analyze the unique effect of its motion characteristics on optical transmissions. When an aircraft platform traverses through the atmosphere, the air density near the platform will fluctuate, due to the rapidly relative motion against the surrounding air. As a result, the refractive index distribution will be affected. This phenomenon significantly affects the propagation of the light beam, commonly referred to as the aero-optical effect. The aero-optics effects in airborne laser systems have been well studied [11; 12]. aerodynamic simulation of the forward turntable of the aircraft has been carried out and the flow field data around the turntable and the imaging performance of the light beam at various angles have been obtained [11]. The aero-optics effect of the airborne optical turntable has been comprehensively described, and the advantages and disadvantages of different turbulence-solving methods have also been discussed [4]. An aero-optical simulation of a hemispherical cylindrical turret has been performed, using a Shack-Hartmann sensor to measure and evaluate the variation in the optical path difference caused by the aero-optical effect at different angles [5]. The aero-optics effects suffered by the laser communication equipment on surface-to-air missiles have been studied, and the beam path difference under different motion states has been evaluated by means of flow field modeling [6]. Moreover, numerous wind tunnel experiments and numerical studies on the aerodynamic optical effects of laser turrets have been carried out with different shapes [12; 13]. A series of projects have been conducted to study the fluid dynamics issues of different rotating turret [14; 15]. Among these studies, it was found that the flow field structures are tightly related to the shape of the optical system. So far, numerous optical windows have been used in aerodynamic flow fields, including flat optical windows mounted on the side sides of fuselages [16] and optical hoods that open on the side of cones [6]. These structures are not susceptible to wind resistance, making the installation of refrigeration equipment simple. However, their field of view is strictly limited. To obtain a full field-of-regard, hemisphere-on-cylinder turrets are used to offer a simple, mechanically efficient choice [14]. Although the aero-optics effects in airborne laser systems attracted much concern, the study on laser communication performance with airborne platforms is hardly found.