A concave reflector can form a more uniform beam of light. The light source can be an LED with a nominally lambertian radiation pattern. LED can be high power requiring heatsink. Light reflected by reflector and light exiting without hitting reflector can form coinciding beams of essentially same size. Matching of sizes of reflected and unreflected components can be achieved in part by having a tangent at a rim parallel to axis of reflector. For some LEDs hot spot in center of beam is reduced by curvature becoming increasingly sharp when approaching along reflective curve a critical radius at which tangent to reflector curve in plane containing axis of reflector has angle near 45 degrees with respect to axis of reflector. Reflector can be used in, for example, work lights, desk lamps, accent lights, headlamps, and flashlights. Lamps can have multiple reflectors with one LED for each reflector.