Lenses for cosine cubed, typical batwing, flat batwing distributions

摘要

A lighting apparatus with uniform illumination distribution, according to various embodiments, can include a lens for area lighting. In one embodiment, the lens comprises a plurality of cross-sections identified by a thickness ratio defined at different angles. The thickness ratio is determined relative to the thickness of the cross-section defined at a center angle of the lens. In another embodiment, the lighting apparatus with uniform illumination distribution includes a lens having an inner surface and an outer surface. A profile of the inner surface and the outer surface is composed of a plurality of piecewise circular arcs defined with radii and circle centers. The lens is formed as a complex curve lens by joining the piecewise circular arcs of the inner surface and the outer surface.

主权项

1. A method for forming a lens, comprising:
defining a surface of the lens as a combination of inter-connected cross-sections; wherein (i) one of the cross-sections has a minimum thickness at a first angle along an optical axis and (ii) another one of the cross-sections has a maximum thickness with respect to the minimum thickness, at a second angle along the axis; wherein the thickness ratios of each of the other cross-sections is a function of the minimum thickness, each of the other thickness ratios corresponding to a different angle; and molding the cross-sections together to form a single lens having a smooth surface.