A lens for distribution of light predominantly toward a preferential side from a light emitter having an emitter axis and defining an emitter plane. The lens has an emitter-adjacent base end forming an emitter-receiving opening to an emitter-surrounding cavity defined by an inner surface which includes a front sector centered on the preferential side and a back sector centered on the non-preferential side radially opposite the preferential side. The front and back sectors differ in their respective configurations for refracting light from the emitter. The lens further includes an primary back surface positioned to receive light from at least a portion of the inner-surface back sector and configured for total internal reflection (TIR) thereof. The inner-surface back sector and the primary back surface extend along substantially elliptical cross-sections in planes substantially parallel to the emitter plane. The emitter-adjacent base end forms a back opening to a back cavity substantially centered on the non-preferential side and partially bounded by the primary back surface.