Lighting systems generating partially-collimated light emissions

A lighting system, comprising:

• a bowl reflector having a central axis, the bowl reflector having a rim defining an emission aperture, the bowl reflector having a first visible-light-reflective surface defining a portion of a cavity in the bowl reflector, a portion of the first visible-light-reflective surface being a parabolic surface;
• a visible-light source including a semiconductor light-emitting device, the visible-light source being located in the cavity, the visible-light source being configured for generating visible-light emissions from the semiconductor light-emitting device;
• a central reflector having a second visible-light-reflective surface, the second visible-light-reflective surface having a convex flared funnel shape and having a first peak, the first peak facing toward the visible-light source;
• and
• an optically-transparent body having a first base being spaced apart from a second base and having a side wall extending between the first base and the second base, a surface of the second base having a concave flared funnel shape, the concave flared funnel-shaped surface of the second base facing toward the convex flared funnel-shaped second visible-light reflective surface of the central reflector, and the first base including a central region having a convex paraboloidal-shaped surface and a second peak, the second peak facing toward the visible-light source.