A dielectric resonator antenna (DRA) operable at a defined frequency includes: at least one volume of a dielectric material configured and structured to be responsive to a signal feed when electromagnetically coupled to the at least one volume of a dielectric material, the signal feed when present and electrically excited being productive of a main E-field component having a defined direction, Ē, in the DRA as observed in a plan view of the DRA; wherein the at least one volume of a dielectric material includes a non-gaseous dielectric material having a defined dielectric constant, the non-gaseous dielectric material having an inner region having a dielectric medium having a dielectric constant that is less than the dielectric constant of the non-gaseous dielectric material, at the defined frequency; wherein the inner region has a cross sectional overall height Hr as observed in an elevation view of the DRA, and a cross sectional overall width Wr in a direction parallel to the direction Ē as observed in the plan view of the DRA; and wherein Hr is greater than Wr/2.