By rigorously deriving intensity distributions for edge, line, and two-line objects, the research establishes a coherent bridge between physical optics and applied imaging systems. A key contribution lies in evaluating resolution limits under multiple apodisation schemes; Straubel, triangular, cosine-squared, and monotonic pupils; across classical criteria such as Rayleigh, Sparrow, and Conrady. The work further innovates by incorporating unequal intensity conditions, offering a more realistic and application-ready model for optical systems.