A non-imaging optical coupler that is a figure of revolution combining a light-transmitting body defining a recessed input cavity, a transparent droplet-shaped encapsulant of a light-emitting diode, or array of diodes in the cavity, the body having a curved side wall shaped to totally internally reflect all the light emitted from the LED and encapsulant, traveling toward the side wall, within a predetermined distance from the diode or center of array, the body having a cylindrical transition section extending from a curved side wall and forwardly, and a planar exit face at the forward end of the body, transverse to the central axis of the figure of revolution.