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In this paper, we propose the geometric-based channel modeling technique as a means to establish innovative models for the power azimuth spectrum (PAS). When the geometry of the environment is matched to that of the TSUNAMI II project, the PAS model we achieve (referred to as the secant-square model) may be compared to the Laplacian model introduced previously in the literature. In this case, we observe that our model is a better fit to the TSUNAMI II project measurements. Specifically, our model has a simple mathematical representation and demonstrates a lower squared error when compared to measurement data, and considers effects ignored in the earlier modeling (e.g., the nonzero values at the edge of the PAS). Moreover, the proposed geometric-based channel modeling technique extends to other environments with different topologies, whereas the earlier Laplacian model is limited to the TSUNAMI II measurement environment.