Micro-channel pattern for effective ink distribution
A pattern of micro-wires in a layer over which ink is to be coated to form micro-wires includes a substrate with first, second, and third regions. A plurality of connected first micro-channels, second micro-channels, and third micro-channels are formed in the first, second, and third regions having first, second, and third micro-channel densities, respectively. The first density is greater than the second density and the second density is greater than the third density. Thus, the density of the layer monotonically decreases from the first region to the second region and from the second region to the third region so that the ink coated over the layer is more effectively distributed.
1. A pattern of micro-channels in a layer over which ink is to be coated to form micro-wires, comprising: a substrate having the layer formed thereon, the layer including first, second, and third regions, wherein the first region is adjacent to the second region, the second region is adjacent to the third region, and the second region is between and separates the first and third regions; a plurality of connected first micro-channels formed in the first region of the layer, wherein the first region has a first density of the first micro-channels; a plurality of connected second micro-channels formed in the second region of the layer, wherein the second region has a second density of the second micro-channels; a plurality of connected third micro-channels formed in the third region of the layer, wherein the third region has a third density of the third micro-channels; wherein the first density is greater than the second density, the second density is greater than the third density; and whereby the density of the layer monotonically decreases from the first region to the second region and from the second region to the third region so that the ink coated over the layer is more effectively distributed, further including cured conductive ink in the first, second, and third micro-channels forming micro-wires; one or more micro-channels has a width of greater than or equal to 0.5 μm and less than or equal to 20 μm to provide an apparently transparent micro-wire electrode.
2. The pattern of micro-channels of claim 1 , wherein each of the first, second, and third densities is a measure of the volume occupied by the first, second, and third micro-channels compared to the area of the corresponding first, second, and third regions in which the first, second, and third micro-channels are located.
3. The pattern of micro-channels of claim 1 , wherein each of the first, second, and third densities is a measure of the area occupied by the first, second, and third micro-channels compared to the area of the corresponding first, second, and third regions in which the first, second, and third micro-channels are located.
4. The pattern of micro-channels of claim 1 , wherein the layer is a cured layer with imprinted micro-channels.
5. The pattern of micro-channels of claim 1 , wherein the first micro-channels include one or more first-direction first micro-channels connected to one or more second-direction first micro-channels, the first-direction first micro-channels extending in a first micro-channel direction and the second-direction first micro-channels extending in a second micro-channel direction different from the first micro-channel direction.
6. The pattern of micro-channels of claim 5 , wherein the second micro-channels include one or more first-direction second micro-channels connected to one or more second-direction second micro-channels, the first-direction second micro-channels extending in the first micro-channel direction and the second-direction second micro-channels extending in the second direction.
7. The pattern of micro-channels of claim 6 , wherein the first-direction first micro-channels are spaced apart by a first distance, the first-direction second micro-channels are spaced apart by a second distance, and the second distance is greater than the first distance.
8. The pattern of micro-channels of claim 6 , wherein the first-direction first micro-channels have a first width, the first-direction second micro-channels have a second width, and the second width is greater than the first width.
9. The pattern of micro-channels of claim 6 , wherein the second-direction first micro-channels have a first width, the second-direction second micro-channels have a second width, and the second width is greater than the first width.
10. The pattern of micro-channels of claim 5 , wherein the third micro-channels include one or more first-direction third micro-channels connected to one or more second-direction third micro-channels, the first-direction third micro-channels extending in a third micro-channel direction different from the first micro-channel direction and the second-direction third micro-channels extending in a fourth micro-channel direction different from the second micro-channel direction.
11. The pattern of micro-channels of claim 5 , wherein the third micro-channels include one or more first-direction third micro-channels connected to and intersecting with one or more second-direction third micro-channels to form micro-channel intersections spaced apart by an intersection distance that is greater than the spacing between the second-direction first micro-channels of the first region or that is greater than the spacing between the second-direction second micro-channels of the second region.
12. The pattern of micro-channels of claim 1 , wherein the first region extends across the substrate in a first region direction, the second region extends across the substrate in a second region direction, and the third region extends across the substrate in a third region direction, and wherein the first region direction and second region direction are substantially parallel and the first region direction and the third region direction are not parallel.
13. The pattern of micro-channels of claim 12 , wherein the first region direction and the third region direction are substantially orthogonal.
14. The pattern of micro-channels of claim 12 , wherein the first micro-channels include one or more spaced-apart first-direction first micro-channels connected to one or more spaced-apart second-direction first micro-channels, the first-direction first micro-channels extending in a first micro-channel direction and the second-direction first micro-channels extending in a second micro-channel direction different from the first micro-channel direction and wherein the first micro-channel direction is substantially parallel to the first region direction.
15. The pattern of micro-channels of claim 14 , further including a pattern of interconnected fourth micro-channels extending in a fourth direction.
16. The pattern of micro-channels of claim 15 , wherein the fourth direction is different from the first direction.
17. The pattern of micro-channels of claim 15 , wherein the pattern of interconnected fourth micro-channels has a fourth density of the fourth micro-channels equal to or greater than the first density.
18. The pattern of micro-channels of claim 1 , wherein the third micro-channels include one or more first-direction third micro-channels connected to one or more second-direction third micro-channels, the first-direction third micro-channels extending in a third micro-channel direction, and the second-direction third micro-channels extending in a fourth micro-channel direction different from the third micro-channel direction.
19. The pattern of micro-channels of claim 1 , wherein the first region has a side with a first width and a side with a first length greater than the first width, the second region has a side with a second width and a side with a second length greater than the second width, the third region has a side with a third width and a side with a third length greater than the third width, the third length is greater than the second length, the second region side having the second length extends along the third region side having the third width, and the first region side having the first length extends along at least the second region side having the second length.
20. The pattern of micro-channels of claim 19 , wherein the second width is greater than the first width.