Line spacing in mesh designs for touch sensors
An apparatus includes a touch sensor that includes a mesh of multiple first and second lines of conductive material extending across a display, where the display includes multiple pixels. The first lines are substantially parallel to each other, and the second lines are substantially parallel to each other. Each of the pixels has a first pixel pitch (PP x ) along a first axis and a second pixel pitch (PP y ) along a second axis that is perpendicular to the first axis. The first pixel pitch is equal to a distance between corresponding features of two adjacent pixels along the first axis, and the second pixel pitch is equal to a distance between corresponding features of two adjacent pixels along the second axis. The first and second lines extend across the display at first and second angles, respectively, relative to the first axis.
1. An apparatus comprising:
a touch sensor comprising a mesh of conductive material, wherein:
the mesh comprises a plurality of first lines and a plurality of second lines of conductive material extending across a display, the first lines being substantially parallel to each other, the second lines being substantially parallel to each other, the display comprising a plurality of pixels, each of the pixels having a first pixel pitch (PP x ) along a first axis and a second pixel pitch (PP y ) along a second axis that is perpendicular to the first axis, the first pixel pitch being equal to a distance between corresponding features of two adjacent pixels along the first axis, the second pixel pitch being equal to a distance between corresponding features of two adjacent pixels along the second axis;
the first lines extend across the display at a first angle relative to the first axis;
the second lines extend across the display at a second angle relative to the first axis;
first lines that are adjacent to each other are separated from each other along the first axis by a first-line separation distance that is within 3% of k×3×PP x , wherein k is a positive integer; and
second lines that are adjacent to each other are separated from each other along the first axis by a second-line separation distance that is within 3% of
k
×
13
6
×
PP
x
;
and
one or more computer-readable non-transitory storage media coupled to the touch sensor and embodying logic that is configured when executed to control the touch sensor.
2. The apparatus of claim 1 , wherein:
k is equal to 1;
the first-line separation distance is within 3% of 3×PP x ; and
the second-line separation distance is within 3% of
13
6
×
PP
x
.
3. The apparatus of claim 1 , wherein:
k is equal to 2;
the first-line separation distance is within 3% of 6×PP x ; and
the second-line separation distance is within
3
%
of
13
3
×
PP
x
.
4. The apparatus of claim 1 , wherein:
the first angle is within 1° of the arctangent of
[
3
m
×
PP
y
PP
x
]
,
wherein m is equal to 1, 2, 4, or 5; and
the second angle is within 1° of the arctangent of
[
3
n
×
PP
y
PP
x
]
,
wherein n is equal to 1, 2, 4, or 5.
5. The apparatus of claim 4 , wherein:
m is different from n; and
the first angle is different from the second angle.
6. The apparatus of claim 4 , wherein:
m is equal to n; and
the first angle and the second angle are approximately equal.
7. The apparatus of claim 4 , wherein:
the first pixel pitch is approximately equal to the second pixel pitch;
the first angle is within 1° of 30.96°, 36.87°, 56.31°, or 71.57°; and
the second angle is within 1° of 30.96°, 36.87°, 56.31°, or 71.57°.
8. The apparatus of claim 1 , wherein:
the first angle is oriented counterclockwise relative to the first axis; and
the second angle is oriented clockwise relative to the first axis.
9. The apparatus of claim 1 , wherein:
the first axis is horizontal;
the second axis is vertical;
the first pixel pitch along the first axis is a pixel width; and
the second pixel pitch along the second axis is a pixel height.
10. The apparatus of claim 1 , wherein the sub-pixels are substantially rectangular.
11. The apparatus of claim 1 , wherein one or more segments of one or more of the first or second lines are substantially sinusoidal.
12. A touch sensor comprising:
a mesh of conductive material, wherein:
the mesh comprises a plurality of first lines and a plurality of second lines of conductive material extending across a display, the first lines being substantially parallel to each other, the second lines being substantially parallel to each other, the display comprising a plurality of pixels, each of the pixels having a first pixel pitch (PP x ) along a first axis and a second pixel pitch (PP y ) along a second axis that is perpendicular to the first axis, the first pixel pitch being equal to a distance between corresponding features of two adjacent pixels along the first axis, the second pixel pitch being equal to a distance between corresponding features of two adjacent pixels along the second axis;
the first lines extend across the display at a first angle relative to the first axis;
the second lines extend across the display at a second angle relative to the first axis;
first lines that are adjacent to each other are separated from each other along the first axis by a first-line separation distance that is within 3% of k×3×PP x , wherein k is a positive integer; and
second lines that are adjacent to each other are separated from each other along the first axis by a second-line separation distance that is within
3
%
of
k
×
13
6
×
PP
x
.
13. The touch sensor of claim 12 , wherein:
k is equal to 1;
the first-line separation distance is within 3% of 3×PP x ; and
the second-line separation distance is within
3
%
of
13
6
×
PP
x
.
14. The touch sensor of claim 12 , wherein:
k is equal to 2;
the first-line separation distance is within 3% of 6×PP x ; and
the second-line separation distance is within
3
%
of
13
3
×
PP
x
.
15. The touch sensor of claim 12 , wherein:
the first angle is within 1° of the arctangent of
[
3
m
×
PP
y
PP
x
]
,
wherein m is equal to 1, 2, 4, or 5; and
the second angle is within 1° of the arctangent of
[
3
n
×
PP
y
PP
x
]
,
wherein n is equal to 1, 2, 4, or 5.
16. The touch sensor of claim 15 , wherein:
m is different from n; and
the first angle is different from the second angle.
17. The touch sensor of claim 15 , wherein:
m is equal to n; and
the first angle and the second angle are approximately equal.
18. The touch sensor of claim 15 , wherein:
the first pixel pitch is approximately equal to the second pixel pitch;
the first angle is within 1° of 30.96°, 36.87°, 56.31°, or 71.57°; and
the second angle is within 1° of 30.96°, 36.87°, 56.31°, or 71.57°.
19. The touch sensor of claim 12 , wherein:
the first angle is oriented counterclockwise relative to the first axis; and
the second angle is oriented clockwise relative to the first axis.
20. The touch sensor of claim 12 , wherein:
the first axis is horizontal;
the second axis is vertical;
the first pixel pitch along the first axis is a pixel width; and
the second pixel pitch along the second axis is a pixel height.