Uniformly illuminating radiation emitting device and method of manufacture
A radiation emitting device may have a plurality of emitters and a plurality of optical elements. The emitters may be arranged along a first emitter direction at a first average emitter spacing AE 1 and along a second emitter direction extending obliquely or perpendicularly to the first emitter direction at a second average emitter spacing AE 2 . The optical elements may be arranged along a first optics direction at a first average optics spacing AO 1 and along a second optics direction extending obliquely or perpendicularly to the first optics direction at a second average optics spacing AO 2.
1. A radiation emitting device with a plurality of emitters and a plurality of optical elements, wherein:
the emitters are arranged along a first emitter direction at a first average emitter spacing AE 1 and along a second emitter direction extending obliquely or perpendicularly to the first emitter direction at a second average emitter spacing AE 2 ;
the optical elements are arranged along a first optics direction at a first average optics spacing AO 1 and along a second optics direction extending obliquely or perpendicularly to the first optics direction at a second average optics spacing AO 2 ; and
at least one of the following four conditions is satisfied:
(
i
)
NE
1
*
AE
1
*
cos
Φ
=
m
2
*
AO
1
,
(
ii
)
NE
2
*
AE
2
*
sin
Φ
=
m
4
*
AO
1
,
(
iii
)
NE
1
*
AE
1
*
sin
Φ
=
m
1
*
AO
2
,
(
iv
)
NE
2
*
AE
2
*
cos
Φ
=
m
3
*
AO
2
,
and
(v) combinations thereof;
wherein:
NE 1 is the number of emitters along the first emitter direction,
NE 2 is the number of emitters along the second emitter direction,
Φ is an angle between the first emitter direction and the first optics direction, wherein the first emitter direction and the first optics direction do not extend in parallel to one another, and
m 1 , m 2 , m 3 , and m 4 are factors, respectively, wherein at least two of conditions (i) to (iv) are satisfied and wherein the factors m 1 , m 2 , m 3 and m 4 each differ by at most a deviation fraction from an integer closest to the respective factor, the absolute value of the deviation fraction ranging from 0 to 0.05 inclusive.
2. The radiation emitting device according to claim 1 , wherein at least one of the following conditions is satisfied:
(v) the integer closest to the factor m 2 is coprime to NE 1 ;
(vi) the integer closest to the factor m 4 is coprime to NE 2 ;
(vii) the integer closest to the factor m 1 is coprime to NE 2 ;
(viii) the integer closest to the factor m 3 is coprime to NE 1 , and
(ix) combinations thereof.
3. The radiation emitting device of claim 2 , wherein at least two of conditions (v) to (viii) are satisfied.
4. A method for producing a radiation emitting device with a plurality of emitters and a plurality of optical elements, wherein the method comprises:
(a) determining a structure with a number and a position of the emitters and the optical elements such that:
the emitters are arranged along a first emitter direction at a first average emitter spacing AE 1 and along a second emitter direction extending obliquely or perpendicularly to the first emitter direction at a second average emitter spacing AE 2 ;
said optical elements are arranged along a first optics direction at a first average optics spacing AO 1 and along a second optics direction extending obliquely or perpendicularly to said first optics direction at a second average optics spacing AO 2 ; and
at least one of the following four conditions is satisfied:
(
i
)
NE
1
*
AE
1
*
cos
Φ
=
m
2
*
AO
1
,
(
ii
)
NE
2
*
AE
2
*
sin
Φ
=
m
4
*
AO
1
,
(
iii
)
NE
1
*
AE
1
*
sin
Φ
=
m
1
*
AO
2
,
(
iv
)
NE
2
*
AE
2
*
cos
Φ
=
m
3
*
AO
2
,
and
(v) combinations thereof;
wherein:
NE 1 is the number of emitters along the first emitter direction,
NE 2 is the number of emitters along the second emitter direction,
Φ is an angle between the first emitter direction and the first optics direction, wherein the first emitter direction and the first optics direction do not extend in parallel to one another, and
m 1 , m 2 , m 3 , and m 4 are factors, respectively; and
(b) forming the radiation emitting device in accordance with the determined structure.
5. A radiation emitting device with a plurality of emitters and a plurality of optical elements, wherein:
the emitters are arranged along a first emitter direction at a first average emitter spacing AE 1 and along a second emitter direction extending obliquely or perpendicularly to the first emitter direction at a second average emitter spacing AE 2 ;
the optical elements are arranged along a first optics direction at a first average optics spacing AO 1 and along a second optics direction extending obliquely or perpendicularly to the first optics direction at a second average optics spacing AO 2 ; and
at least one of the following four conditions is satisfied:
(
i
)
NE
1
*
AE
1
*
cos
Φ
=
m
2
*
AO
1
,
(
ii
)
NE
2
*
AE
2
*
sin
Φ
=
m
4
*
AO
1
,
(
iii
)
NE
1
*
AE
1
*
sin
Φ
=
m
1
*
AO
2
,
(
iv
)
NE
2
*
AE
2
*
cos
Φ
=
m
3
*
AO
2
,
and
(v) combinations thereof;
wherein:
NE 1 is the number of emitters along the first emitter direction,
NE 2 is the number of emitters along the second emitter direction,
Φ is an angle between the first emitter direction and the first optics direction, wherein the first emitter direction and the first optics direction do not extend in parallel to one another, and
m 1 , m 2 , m 3 , and m 4 are factors, respectively.
6. The radiation emitting device according to claim 5 , wherein at least two of conditions (i) to (iv) are satisfied.
7. The radiation emitting device according to claim 5 , wherein NE 1 and/or NE 2 are prime numbers.
8. The radiation emitting device according to claim 5 , wherein NE 1 =NE 2 .
9. The radiation emitting device according to claim 5 , wherein Φ=0.
10. The radiation emitting device according to claim 5 , wherein the emitters are arranged in a rectangular lattice.
11. The radiation emitting device according to any claim 5 , wherein the emitters are arranged in a hexagonal lattice.
12. The radiation emitting device according to claim 5 , wherein the spacing of adjacent emitters along the first emitter direction differs by at most 20% from the first average emitter spacing.
13. The radiation emitting device according to claim 5 , wherein the emitters are surface emitting semiconductor lasers or light emitting diodes.
14. The radiation emitting device according to claim 5 , wherein the optical elements are arranged in a contiguous optical assembly.
15. The method of claim 4 , wherein a radiation emitting device is produced according to claim 5 .