Light-emitting devices with textured active layer

1. A device comprising:

a textured substrate comprising a first trench and a second trench each extending from a top surface of the textured substrate into the textured substrate, wherein the first trench comprises a first sidewall and a first bottom, wherein the second trench comprises a second sidewall and a second bottom, and wherein a first slant angle of the first sidewall is different from a second slant angle of the second sidewall; and

a light-emitting device (LED) over the textured substrate and comprising an active layer, wherein the active layer comprises a first portion parallel to the first sidewall, a second portion parallel to the first bottom, and a third portion parallel to the second sidewall.

2. The device of claim 1 , wherein the first and the second portions of the active layer are inside the first trench, and wherein the active layer further comprises a third fourth portion over the top surface of the textured substrate.

3. The device of claim 1 , wherein the LED further comprises a first cladding layer and a second cladding layer of opposite conductivity types, and wherein the first and the second cladding layers are on opposite sides of the active layer.

4. The device of claim 1

wherein the active layer comprises a fourth portion parallel to the second bottom.

5. The device of claim 4 , wherein a difference between the first slant angle and the second slant angle is greater than about 2 degrees.

6. The device of claim 5 , wherein the difference between the first slant angle and the second slant angle is greater than about 5 degrees.

7. The device of claim 1 , wherein the first sidewall has a slant angle less than about 45 degrees from horizontal.

8. A device comprising:

a textured substrate comprising a textured top surface with a top portion, a bottom portion parallel to, and lower than, the top portion, and a slant portion connecting the top portion to the bottom portion and forming a slant angle with the top portion and the bottom portion; and

a light-emitting device (LED) comprising:

a first cladding layer of a first conductivity type over the textured top surface;

an active layer over the first cladding layer; and

a second cladding layer of a second conductivity type opposite the first conductivity type over the active layer, wherein each of the first cladding layer, the active layer, and the second cladding layer is a conformal textured layer comprising first portions, second portions, and third slant portions, and wherein the second portions are parallel to, and higher than, the first portions, and wherein at least two of the third slant portions have different slant angles from each other.

9. The device of claim 8 , wherein a difference between the slant angles of the at least two of the third slant portions is greater than about 5 degrees.

10. The device of claim 8 further comprising a buffer layer between, and adjoining, the first cladding layer and the textured top surface of the textured substrate, wherein the buffer layer is a conformal layer.

11. The device of claim 8 further comprising a metal electrode over and electrically connected to the second cladding layer, wherein the metal electrode comprises a slant portion parallel to one of the third slant portions of the conformal textured layers.

12. The device of claim 8 , wherein the third slant portions have slant angles less than about 45 degrees, and greater than about 10 degrees.

13. A device comprising:

a textured substrate comprising a plurality of trenches each extending from a top surface of the textured substrate into the textured substrate, wherein the trenches each include a respective sidewall and a respective bottom, wherein at least some of the trenches are shaped differently from other trenches; and

a light-emitting device comprising:

a first cladding layer of a first conductivity type and over the top surface of the textured substrate;

an active layer over the first cladding layer; and

a second cladding layer of a second conductivity type opposite the first conductivity type over the active layer, wherein each of the first cladding layer, the active layer, and the second cladding layer has a non-flat top surface.

14. The device of claim 13 , wherein the non-flat top surface of the active layer comprises a first portion over the top surface of the textured substrate, and a second portion extending into the trench.

15. The device of claim 14 , wherein the second portion of the non-flat surface of the active layer comprises a sidewall portion parallel to the sidewall of at least one of the trenches, and a bottom portion parallel to the bottom of at least one of the trenches.

16. The device of claim 13 wherein at least some of the trenches are shaped differently from other trenches by having different slant angles.

17. The device of claim 16 , wherein a difference between the different slant angles is greater than about 5 degrees.

18. The device of claim 17 , wherein the plurality trenches is spaced apart from each other, each trench having a rectangular shape in a top view of the textured substrate.

19. The device of claim 1 , wherein the first trench and the second trench each have a substantially rectangular shape in a top view.

20. The device of claim 1 , further comprising an illumination application in which the textured substrate and the LED are implemented.