A new and physically realizable feed employing a dielectric resonator (DR) has been conceived and demonstrated for HEM12δ mode in a cylindrical dielectric resonator antenna (CDRA). This indeed enables in realizing an improved version of dual-band dual-mode dielectric resonator antenna (DRA) with attractive broadside radiation along with wide bandwidth characteristics. It comprises of a two-element stacked geometry, where the lower element is excited by an aperture and the upper element is excited by the lower DR. The upper element is responsible for generating the higher mode (HEM12δ), whereas the lower mode (HEM11δ) resonates in the entire composite mass. The conjecture has been verified with an S/C-band design using simulated and measured results indicating three different variants. The most improved geometry comprising of a "cone on top of a cylinder" promises 6.5 and 10.3 dBi gains in the lower and upper operating bands with, respectively, 8.3% and 13% matching bandwidth. This newly addressed technique can be of potential use for newer innovations in DRA feed and design. © 2016 IEEE.