A lighting waveguide and its assembly in an LED lighting fixture. LED waveguide technology offers a novel approach to the design of a lighting fixture that still retains a typical appearance of a lamp shade and lighting fixture. A nominally transparent plastic or glass waveguide is fashioned into the shape of a lamp shade with a slot at one side that defines a gap between two edges or ends of the waveguide, and possess perturbations on the surface of the waveguide to facilitate the extraction and provide usable light from the lighting fixture. An LED PCB board, with side-mounted LEDs, is mounted to the lighting fixture between the slot in the waveguide such that the light emitting surfaces of the LEDs are proximal to and face towards the edges of the waveguide, Illuminating the waveguide and providing light from the light fixture via the perturbations that provide a light extraction.