In this numerical work, we present some cases of transmission behavior in a power-symmetric, polarization-imbalanced nonlinear optical loop mirror (NOLM) through a three-dimensional (3D) analysis. The study has been implemented using the Jones matrices for inputs at linear and circular polarization and varying the length in the loop. The results show control over the switching power and the maximal transmission, which let us see more easily the graph visualization at the output of a scheme. However, we can determine the characteristics of the experimental operation (fiber loop, input power, angles of the retarder plates, critical power, and input polarization). These results can be used to establish regions for potential applications in optical communications such as ultrafast optical signals processing, optical switching, demultiplexing, filtering, logic gates, and pulse compression.