Exemplary embodiments of the present invention relate to an illumination lens disposed over a light-emitting diode (LED). The illumination lens includes an internal surface surrounding the LED and configured to intercept light emitted by the LED, wherein the internal surface comprises an arch-shaped non-rotationally symmetric, elongated horizontal cross-section. The illumination lens also includes an external surface comprising a central cusp, the external surface extending laterally with non-axially-symmetrical profiles in different horizontal directions, the non-axially-symmetric profiles being elliptical with respect to a tilted major axis of the illumination lens, wherein the light-emitting device is configured to produce an elongated illumination pattern.