Traditional radar and integrated sensing and communication (ISAC) systems often approximate targets as point sources, a simplification that fails to capture the essential scattering characteristics for many applications. This paper presents a novel, general electromagnetic (EM)-based model to accurately represent the near-field (NF) scattering response of extended targets with arbitrary shapes and antenna configurations. The model is then applied to three canonical shapes — a flat rectangular plate, a sphere and a cylinder — and provides mathematical expressions for the received signal in each case. Based on this model, the influence of bandwidth, carrier frequency and target distance on localisation accuracy is analysed, showing that higher bandwidths and carrier frequencies improve resolution. Additionally, the impact of target curvature on localisation performance is studied. Results indicate that detection performance is slightly enhanced when considering curved objects. A comparative analysis between the extended and point target models shows significant similarities when targets are small and curved. However, as the target size increases or becomes flatter, the point target model introduces estimation errors due to model mismatch. These findings provide theoretical support for experimental results based on point-target models in previous studies.