Selectively frosted optical element for beam shaping

A method, comprising:

• receiving first light with a lens, the first light being substantially centered around a light axis;
• refracting at least some of the first light through a concave portion of an incident surface of the lens to form second light inside the lens, the concave portion being substantially centered around a concave portion axis that is non-coaxial with the light axis;
• propagating at least some of the second light from the concave portion of the incident surface to a convex portion of an exiting surface of the lens, the propagated second light arriving at the convex surface as third light, the convex portion being substantially centered around a convex portion axis that is non-coaxial with the light axis;
• refracting at least some of the third light through the convex portion of the exiting surface to form fourth light outside the lens;
• reflecting at least some of the third light from the convex portion of the exiting surface to form fifth light inside the lens;
• and
• propagating at least some of the fifth light from the convex portion of the exiting surface to a scattering portion of the incident surface of the lens, the scattering portion being concave and forming a corner with the concave portion, the propagated fifth light arriving at the scattering portion as sixth light.

An illumination apparatus, comprising:

• a plurality of first light emitting diodes (LEDs) configured to emit light at a first wavelength;
• a second LED spaced apart from the plurality of first LEDs and configured to emit light at a second wavelength different from the first wavelength;
• and
• a lens configured to shape the light emitted from the plurality of first LEDs and the second LED,
• the lens including an incident surface positioned to face the plurality of first LEDs and the second LED, the incident surface including a plurality of concave portions and a scattering portion,
• the lens further including an exiting surface opposite the incident surface, the exiting surface including a plurality of convex portions and a planar portion, the planar portion surrounding at least one convex portion of the plurality of convex portions,
• the plurality of concave portions and the plurality of convex portions being configured to shape light emerging from respective first LEDs of the plurality of first LEDs, and
• the scattering portion being configured to receive light from the second LED.