I. Introduction
Recently, with the continuous increase in symbol rates in optical fiber communication systems, the impact of polarization mode dispersion (PMD) has become increasingly significant and cannot be ignored [1]. In fact, higher symbol rates imply that signals occupy a larger bandwidth, resulting in the transmission system exhibiting higher-order PMD effects [2]. This undoubtedly places significant stress on digital signal processing (DSP), leading to system performance instability. In other words, as time and frequency evolve, PMD is no longer a constant, and its correlation at different frequency points decreases, which significantly reduces the compensation capability of the algorithms at the receiver [3]. This presents a challenge in obtaining accurate outage probabilities, which in turn hinders the assessment of system performance and the prediction of future states. Therefore, it is essential to develop a simple and effective method for accurately predicting the outage probability of optical communication systems caused by PMD.