Light-directing lensing member with improved angled light distribution

A light-directing lensing member for off-axial preferential-side distribution of light from a light emitter having an emitter axis, comprising:

• a base end having a perimeter-loop line defining a main plane transverse the emitter axis, the perimeter-loop line having distances from the emitter axis greater on a preferential front side than on a non-preferential back side;
• and
• an outer surface configured for refracting light from the emitter in a predominantly off-axis direction toward the preferential side, the outer surface including:
• a major lens-portion outer surface having:
• a front region centered on the front side and extending from the base end initially substantially orthogonally with respect to the main plane and then inwardly at a position and in a configuration such that the angle of incidence of light from the emitter thereon is less than the critical angle, the front region terminating inwardly at a ridgeline which is the set of major-lens-surface points farthest from the main plane;
• a back region centered on the back side and extending from the base end at a position and in a configuration such that the angle of incidence of light from the emitter thereon is greater than the critical angle, thereby to reduce light directed toward the back side;
• and
• a middle region around the emitter axis and contiguous with the front and back regions;
• and
• an axially-located minor lens-portion with its outer surface having a surrounding-loop surface extending from the middle region transverse the main plane and terminating at the end surface configured to direct substantially axially-parallel light from the emitter in off-axis direction toward the preferential side.