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Source localization is one of the major challenges of the underwater acoustic sensor network (UASN). The received signal strength (RSS) and the time of flight (TOF) are the main localization approaches. The requirement of the TOF method is the synchronization of sensors, however, synchronization is a challenging issue in an underwater environment and the RSS approach can be considered as an appropriate choice to overcome it. In this paper, we aim to improve the performance of the RSS localization approach by applying a network of acoustic sensor arrays in an inhomogeneous underwater medium. Considering the inhomogeneity as one of the basic challenges in underwater beamforming, at first we analyze the problem of wave propagation in inhomogeneous underwater medium and derive a new steering vector for both far- and near-field scenarios. Then, we develop an Array-RSS underwater …