A light source, for example a light emitting diode, can emit light and have an associated optical axis. The source can be deployed in applications where it is desirable to have illumination biased laterally relative to the optical axis, such as in a street luminaire where directing light towards a street is beneficial. The source can be coupled to an optic that comprises a cavity. At least a portion of the cavity can have an outline that is egg-shaped in cross section. A backside of the cavity (or a backside portion of the optic) can have an irregular shape for receiving the light emitting diode, for example to form a receptacle shaped to fit a circuit.