Collimating on-die optic

1. An optic, comprising:

an input face;

a lower exterior surface defined by a parabolic segment rotated about an axis of symmetry, the parabolic segment comprising a part of a parabola with an optical axis tilted away from the axis of symmetry when travelling upward along the optical axis, wherein a bottom end of the lower exterior surface joins a perimeter of the input face;

an upper exterior surface above the lower exterior surface, the upper exterior surface being defined by a line rotated about the axis of symmetry, the line being tilted away from the axis of symmetry when travelling upward along the line; an intermediate surface comprising an annulus, the annulus having an outer circumference that joins an upper end of the lower exterior surface and an inner circumference that joins a lower end of the upper exterior surface; and

an interior conical surface surrounded by the lower and the upper exterior surfaces, the interior conical surface being defined by a smooth curve rotated about the axis of symmetry, at least a majority of the smooth curve turning away from the axis of symmetry when travelling upward along the smooth curve, wherein:

the interior conical surface has a vertex located at the axis of symmetry and within the lower exterior surface; and

top ends of the interior conical surface and the upper exterior surface join to define an output aperture.

2. The optic of claim 1 , wherein the lower exterior surface comprises a truncated three-dimensional compound parabolic concentrator.

3. The optic of claim 2 , wherein:

the bottom end of the lower exterior surface forms a first face of the truncated three-dimensional compound parabolic concentrator;

the truncated three-dimensional compound parabolic concentrator comprises a second face opposite the first face;

the first face of the truncated three-dimensional compound parabolic concentrator fully covers an LED die having a side of 1 arb. unit and a diagonal of 1.41 arb. unit; and

the truncated three-dimensional compound parabolic concentrator has an input diameter of 2.54 arb. unit, an output diameter of 1.41 arb. unit, an input angle of 57 degrees, an output angle of 90 degrees, a full length of 2.96 arb. unit, and a truncated height of 0.4 to 1.2 arb. unit.

4. The optic of claim 1 , wherein the line rotated about the axis of symmetry is a straight line.

5. The optic of claim 1 , wherein:

the input face fully covers an LED die having a side of 1 arb. unit and a diagonal of 1.41 arb. unit; and

the smooth curve is a Bezier curve having an end point, a start point located 1.35 arb. unit in a Z-direction and 1.16 arb. unit in a Y-direction from the start point, and two control points.

6. A light-emitting diode (LED) package, comprising:

a LED the; and

a optic on the LED die, the optic comprising:

an input face;

a lower exterior surface defined by a parabolic segment rotated about an axis of symmetry, the parabolic segment comprising a part of a parabola with an optical axis tilted away from the axis of symmetry when travelling upward along the optical axis, wherein a bottom end of the lower exterior surface joins a perimeter of the input face;

an upper exterior surface above the lower exterior surface, the upper exterior surface being defined by a line rotated about the axis of symmetry, the line being tilted away from the axis of symmetry when travelling upward along the line;

an intermediate surface comprising an annulus, the annulus having an outer circumference that joins an upper end of the lower exterior surface and an inner circumference that joins a lower end of the upper exterior surface; and

an interior conical surface surrounded by the lower and the upper exterior surfaces, the interior conical surface being defined by a smooth curve rotated about the axis of symmetry, at least a majority of the smooth curve turning away from the axis of symmetry when travelling upward along the smooth curve.

7. The package of claim 6 , wherein the interior conical surface has a vertex located at the axis of symmetry and within the lower exterior surface, and top ends of the interior conical surface and the upper exterior surface join to define an output aperture.

8. The package of claim 6 , wherein:

the lower exterior surface comprises a truncated three-dimensional compound parabolic concentrator;

the bottom end of the lower exterior surface forms a first face of the truncated three-dimensional compound parabolic concentrator;

the truncated three-dimensional compound parabolic concentrator comprises a second face opposite the first face;

the first face of the truncated three-dimensional compound parabolic concentrator fully covers an LED die having a side of 1 arb. unit and a diagonal of 1.41 arb. unit; and

the truncated three-dimensional compound parabolic concentrator has an input diameter of 2.54 arb. unit, an output diameter of 1.41 arb. unit, an input angle of 57 degrees, an output angle of 90 degrees, a full length of 2.96 arb. unit, and a truncated height of 0.4 to 1.2 arb. unit.

9. The package of claim 6 , wherein:

the input face fully covers an LED die having a side of 1 arb. unit and a diagonal of 1.41 arb. unit; and

the smooth curve is a Bezier curve having an end point, a start point located 1.35 arb. unit in a Z-direction and 1.16 arb. unit in a Y-direction from the start point, and two control points.

10. The LED package of claim 6 , further comprising a heat sink, wherein the LED die is mounted on the heat sink.

11. A method for making a light-emitting diode or device (LED) package, comprising:

providing a LED die; and

printing a primary optic on the LED die, comprising:

forming bottom and lower portions of the primary optic comprising a three-dimensional compound parabolic concentrator including:

an input face; and

a lower exterior surface defined by a parabolic segment rotated about an axis of symmetry, the parabolic segment comprising a part of a parabola with an optical axis tilted away from the axis of symmetry when travelling upward along the optical axis, wherein a bottom end of the lower exterior surface joins a perimeter of the input face;

forming upper and inner portions of the primary optic comprising an upper exterior surface above the lower exterior surface, the upper exterior surface being defined by a line rotated about the axis of symmetry, the line being tilted away from the axis of symmetry when travelling upward along the line; an intermediate surface comprising an annulus, the annulus having an outer circumference that joins an upper end of the lower exterior surface and an inner circumference that joins a lower end of the upper exterior surface; and

an interior conical surface surrounded by the lower and the upper exterior surfaces, the interior conical surface being defined by a smooth curve rotated about the axis of symmetry, at least a majority of the smooth curve turning away from the axis of symmetry when travelling upward along the smooth curve.

12. The method of claim 11 , wherein the interior conical surface has a vertex located at the axis of symmetry and within the lower exterior surface, and top ends of the interior conical surface and the upper exterior surface join to define an output aperture.

13. The method of claim 11 , wherein:

the lower exterior surface comprises a truncated three-dimensional compound parabolic concentrator;

the bottom end of the lower exterior surface forms a face of the truncated three-dimensional compound parabolic concentrator;

the truncated three-dimensional compound parabolic concentrator comprises a second face opposite the first face;

the first face of the truncated three-dimensional compound parabolic concentrator fully covers an LED die having a side of 1 arb. unit and a diagonal of 1.41 arb. unit; and

the truncated three-dimensional compound parabolic concentrator has an input diameter of 2.54 arb. unit, an output diameter of 1.41 arb. unit, an input angle of 57 degrees, an output angle of 90 degrees, a full length of 2.96 arb. unit, and a truncated height of 0.4 to 1.2 arb. unit.

14. The method of claim 11 , wherein:

the input face fully covers an LED die having a side of 1 arb. unit and a diagonal of 1.41 arb. unit; and

the smooth curve is a Bezier curve having an end point, a start point located 1.35 arb. unit in a Z-direction and 1.16 arb. unit in a Y-direction from the start point, and two control points.

15. The method of claim 11 , further comprising mounting the LED die on a heatsink.