## 1 Introduction  
The era of optical information demands the establishment of communication network systems with high transmission rates, large data capacities, and extensive coverage. Utilizing optical waves with extremely short wavelengths for space-based satellite communication is the optimal solution to achieve high data-rate communication, particularly in today's context where the microwave frequency spectrum is limited and space resources are increasingly crowded [1, 2]. Companies like Starlink in the United States and OneWeb in the United Kingdom have already planned or launched massive satellite constellations, with inter-satellite communications relying on laser links for information transmission [3].  
With the rapid advancement of information technology, the demand for multi-dimensional, integrated information resources in future information services is increasing. Strategic information services in national security, aerospace, environmental monitoring, traffic management, education and healthcare, industrial and agricultural sectors, counter-terrorism, and disaster relief will unfold in a multi-dimensional space encompassing the air, space, and ground. Information utilization within a single dimension cannot meet these comprehensive needs [4, 5, 6]. Therefore, the development of space-based local area network (LAN) optical communication technology has become an inevitable trend in the evolution of optical communication [7, 8, 9].  
The future trend of space optical communication is to achieve longer distances, higher communication rates, and lower power consumption. To accomplish this, the divergence angle of the laser beam must be compressed to the order of tens of micro-arcseconds [10]. Consequently, rapid capture and stable maintenance of the laser link become crucial [11, 12]. Even minor misalignment errors can cause a decline in the communication link performance and result in significant loss of system efficiency [13].  
Optical communication, due to its advantages such as easy terminal deployment and high transmission rates, is currently the best solution for achieving high-rate communication in space. However, space optical communication relies on small divergence angle beams to provide high transmit and receive gains. This imposes stricter requirements on the speed and stability of laser beam acquisition and tracking than traditional microwave communication systems. Small divergence angles, low calibration accuracy, platform attitude drift, and micro-vibrations pose significant challenges to the scanning, acquisition, and alignment of laser beams [14, 15, 16].  
In this work, space optical networks specifically refer to inter-satellite or satellite-to-ground laser communication systems operating in the vacuum or near-vacuum conditions of outer space. This is distinguished from terrestrial free-space optical (FSO) communication, which operates within Earth's atmosphere and must account for turbulence, aerosol scattering, and weather-related attenuation. While both domains utilize optical wireless transmission, their technical challenges diverge fundamentally.  
This paper primarily focuses on the research of rapid ground-based laser link establishment technologies. It explores methods to achieve fast deployment and link establishment for optical communication pointing, acquisition, and tracking (PAT) terminals and conducts targeted analytical and verification work to solve the challenges of rapid switching and long-term high-stability maintenance in space-based LAN laser networks. By studying the mechanisms of laser rapid link establishment and the coupling transmission of platform disturbances, this paper aims to provide a basis for the rapid deployment of three-dimensional space LANs and the isolation of beam disturbances using both active and passive methods. This research is significant for improving the overall performance of space optical networks and can be extended to the construction and application of space-based information networks in the future.