Light collector with a plurality of lenslets packed in an optimized dense circular pattern

1. A light collector adapted to collect light from a plurality of light sources, the light collector comprising:

a plurality of lenslets adapted to collect light from the light sources and adapted to convert the collected light into a plurality of light beams so that the plurality of light beams propagate along an optical axis, wherein each lenslet of the plurality of lenslets comprises an entrance surface where the light enters the lenslet and an exit surface where the light exits the lenslet, the plurality of lenslets are arranged in a dense pattern, wherein the plurality of lenslets comprise a plurality of outermost adjacent lenslets located along an outer circular boundary, wherein each of the plurality of outermost adjacent lenslets has a same diameter as that of the other plurality of outermost adjacent lenslets, and has a same radial distance to a center of the light collector, wherein each of the plurality of outermost adjacent lenslets contacts two other outermost adjacent lenslets and at least one inner lenslet located inside the plurality of outermost adjacent lenslets, and wherein the dense pattern has been obtained by optimizing a packaging density defined by a ratio of a sum of areas of circular cross sections of the plurality of lenslets and an area enclosed or defined by the outer circular boundary, wherein the plurality of outermost adjacent lenslets comprise at least 12 outermost lenslets and that the packaging density is at least 0.79,

a first group of lenslets of the plurality of lenslets located inside the plurality of outermost adjacent lenslets is arranged on a first annular ring; and

a second group of lenslets of the plurality of lenslets located inside the plurality of outermost adjacent lenslets is arranged on a second annular ring,

wherein a diameter of each of the plurality of lenslets is the same for the first group of lenslets and the second group of lenslets,

wherein a difference in length of a first lenslet of the first group of lenslets on the first annular ring to the center of the light collector and a first lenslet of the second group of lenslets on the second annular ring to the center of the light collector is less than a half of the diameter of each of the plurality of lenslets, and

wherein the dense pattern is a non-hexagonal pattern.

2. The light collector of claim 1 wherein the packaging density is less than 0.88.

3. The light collector of claim 1 wherein the light collector comprises at least 20 lenslets.

4. The light collector of claim 1 wherein a number of the plurality of lenslets is within one of the following intervals: [36, 38]; [54, 55]; [60,61]; [82, 87]; [113,122]; [148, 157]; [198, 201]; [234, 254]; [264, 276]; [291, 302]; [327, 337]; [498, 425]; [478, 501]; [560, 583]; [630, 660]; [718,747]; [779,789]; [817, 847]; [910, 913]; [927, 933]; [1124, 1138]; [1231,1244]; [1415,1446]; and [1468,1500].

5. The light collector of claim 1 wherein a number of the plurality of lenslets is equal to any one of: 37, 55, 61, 85, 91, 121, 151, 199, 219, 235, 241, 270, 295, 301, 331, 349, 421, 481, 499, 528, 565, 631, 637, 649, 690, 745, 783, 847, 913, 931, 1003, 1015, 1027, 1039, 1045, 1092, 1133, 1180, 1201, 1236, 1244, 1278, 1304, 1379, 1420, 1427, 1436, 1446, and 1491.

6. The light collector of claim 1 wherein each of the plurality of outermost adjacent lenslets are in contact with two adjacent other outermost located lenslets.

7. The light collector of claim 1 wherein the plurality of lenslets is arranged in an invariant pattern and wherein the invariant pattern is invariant under a 60 degrees rotation.

8. The light collector of claim 1 wherein:

each lenslet of the plurality of lenslets defines a disc corresponding to a substantial uniform circular cross section of the lenslet, wherein each disc of each lenslet include a same diameter, and

wherein the dense pattern has been obtained by optimizing a packaging density defined by a ratio of the sum of areas of the discs and an area of a container disc circumscribing the discs.

9. The light collector of claim 1 wherein at least one of the plurality of lenslets have been omitted.

10. An illumination device comprising:

a plurality of light sources;

a light collector according to claim 1 ;

an optical gate arranged along the optical axis; and

an optical projecting system adapted to collect at least a part of the plurality of light beams and adapted to image the optical gate at a distance along the optical axis.

11. The illumination device of claim 10 , wherein the plurality of light sources are arranged on a flat plane.

12. The light collector of claim 1 further comprising an imaging lens that includes a circular aperture.

13. A method of providing a light collector adapted to collect light from a plurality of light sources, wherein the light collector comprises a plurality of lenslets adapted to collect light from the plurality of light sources and adapted to convert the collected light into a plurality of light beams so that the plurality of light beams propagate along an optical axis, wherein each lenslet of the plurality of lenslets comprise an entrance surface where the light enters the lenslet and an exit surface where the light exits the lenslet, and wherein each lenslet of the plurality of lenslets has a substantial uniform circular cross section of the lenslet, the method comprising:

arranging the lenslets in a dense pattern, wherein the plurality of lenslets comprise a plurality of outermost lenslets located along an outer circular boundary, wherein each of the plurality of outermost lenslets has a same diameter as that of the other plurality of outermost lenslets, and has a same radial distance to a center of the light collector, wherein each of the plurality of outermost lenslets contacts two other outermost lenslets and at least one inner lenslet located inside the plurality of outermost lenslets,

optimizing a packaging density defined by a ratio of a sum of areas of circular cross sections of the plurality of lenslets and an area enclosed or defined by the outer circular boundary,

providing at least 12 outermost lenslets,

optimizing the packaging density to at least 0.79,

arranging a first group of lenslets of the plurality of lenslets located inside the plurality of outermost lenslets on a first annular ring; and

arranging a second group of lenslets of the plurality of lenslets located inside the plurality of outermost lenslets on a second annular ring,

wherein a diameter of each of the plurality of lenslets is the same for the first group of lenslets and the second group of lenslets,

wherein a difference in length of a first lenslet of the first group of lenslets on the first annular ring to the center of the light collector and a first lenslet of the second group of lenslets on the second annular ring to the center of the light collector is less than a half of the diameter of each of the plurality of lenslets,

wherein the dense pattern is a non-hexagonal pattern.

14. The method of claim 13 further comprising selecting a number of the plurality of lenslets from one of the following intervals: [36, 38]; [54, 55]; [60,61]; [82, 87]; [113,122]; [148, 157]; [198, 201]; [234, 254]; [264, 276]; [291, 302]; [327, 337]; [498, 425]; [478, 501]; [560, 583]; [630, 660]; [718,747]; [779, 789]; [817, 847]; [910, 913]; [927, 933]; [1124, 1138]; [1231,1244]; [1415,1446]; and [1468,1500].

15. The method of claim 13 further comprising selecting a number of the plurality of lenslets from any one of: 37, 55, 61, 85, 91, 121, 151, 199, 219, 235, 241, 270, 295, 301, 331, 349, 421, 481, 499, 528, 565, 631, 637, 649, 690, 745, 783, 847, 913, 931, 1003, 1015, 1027, 1039, 1045, 1092, 1133, 1180, 1201, 1236, 1244, 1278, 1304, 1379, 1420, 1427, 1436, 1446, and 1491.

16. The method of claim 13 further comprising:

arranging the light collector to collect light from a plurality of light sources and to direct the plurality of light beams through an optical gate; and

arranging an optical projecting system to collect at least a part of the plurality of light beams.

17. A light collector adapted to collect light from a plurality of light sources, the light collector comprising:

a plurality of lenslets adapted to collect light from the light sources and adapted to convert the collected light into a plurality of light beams so that the plurality of light beams propagate along an optical axis, wherein each lenslet of the plurality of lenslets comprises an entrance surface where the light enters the lenslet and an exit surface where the light exits the lenslet, the plurality of lenslets are arranged in a dense pattern, wherein the plurality of lenslets comprise a plurality of outermost adjacent lenslets located along an outer circular boundary, wherein each of the plurality of outermost adjacent lenslets has a same diameter as that of the other plurality of outermost adjacent lenslets, and has a same radial distance to a center of the light collector, wherein each of the plurality of outermost adjacent lenslets contacts two other outermost adjacent lenslets and at least one inner lenslet located inside the plurality of outermost adjacent lenslets, and wherein the dense pattern has been obtained by optimizing a packaging density defined by a ratio of a sum of areas of circular cross sections of the plurality of lenslets and an area enclosed or defined by the outer circular boundary, wherein the plurality of outermost adjacent lenslets comprise at least 12 outermost lenslets and that the packaging density is less than 0.88,

a first group of lenslets of the plurality of lenslets located inside the plurality of outermost adjacent lenslets is arranged on a first annular ring; and

a second group of lenslets of the plurality of lenslets located inside the plurality of outermost adjacent lenslets is arranged on a second annular ring,

wherein a diameter of each of the plurality of lenslets is the same for the first group of lenslets and the second group of lenslets,

wherein a difference in length of a first lenslet of the first group of lenslets on the first annular ring to the center of the light collector and a first lenslet of the second group of lenslets on the second annular ring to the center of the light collector is less than a half of the diameter of each of the plurality of lenslets, and

wherein the dense pattern is a non-hexagonal pattern.

18. The light collector of claim 17 wherein the packaging density is at least 0.79.