Line spacing in mesh designs for touch sensors

A touch sensor that comprises:

• a mesh of conductive material configured to extend across a display that comprises a plurality of pixels that each comprise sub-pixels, wherein:
• the mesh comprises a plurality of first lines and a plurality of second lines of conductive material, wherein:
• the first lines are substantially parallel to each other;
• the second lines are substantially parallel to each other;
• each of the pixels has a first pixel pitch (PPx) along a first axis and a second pixel pitch (PPy) along a second axis that is substantially perpendicular to the first axis;
• the first pixel pitch is a distance between corresponding features of two adjacent pixels along the first axis;
• the second pixel pitch is a distance between corresponding features of two adjacent pixels along the second axis;
• each of the sub-pixels has a first sub-pixel pitch (SPPx) along the first axis and a second sub-pixel dimension (SPDy) along the second axis;
• the first sub-pixel pitch is a distance between corresponding features of two adjacent sub-pixels along the first axis;
• and
• the second sub-pixel dimension is a distance between opposing edges of a color element of a sub-pixel along the second axis;
• the first lines are configured to extend across the display at a first angle relative to the first axis, wherein the first angle is approximately equal to the arctangent of
• (
• SPD
• y
• PP
• x
• )
• ;
• the second lines are configured to extend across the display at a second angle relative to the first axis, wherein the second angle is approximately equal to the arctangent of
• (
• PP
• y
• 2
• ×
• SPP
• x
• )
• ;
• first lines that are adjacent to each other are separated from each other along the first axis by a first-line horizontal separation distance that is approximately equal to k×PPx, 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 horizontal separation distance that is approximately equal to ¾×k×PPx.

A method comprising:

• depositing on a substrate a mesh of conductive material that comprises a plurality of first lines and a plurality of second lines of conductive material configured to extend across a display that comprises a plurality of pixels that each comprise sub-pixels and dead space, wherein:
• the first lines are substantially parallel to each other;
• the second lines are substantially parallel to each other;
• each of the sub-pixels comprises a color element separated from adjacent sub-pixels by dead space;
• each of the pixels has a first pixel pitch (PPx) along a first axis and a second pixel pitch (PPy) along a second axis that is substantially perpendicular to the first axis;
• the first pixel pitch is a distance between corresponding features of two adjacent pixels along the first axis;
• the second pixel pitch is a distance between corresponding features of two adjacent pixels along the second axis;
• each of the sub-pixels has a first sub-pixel pitch (SPPx) along the first axis and a second sub-pixel dimension (SPDy) along the second axis;
• the first sub-pixel pitch is a distance between corresponding features of two adjacent sub-pixels along the first axis;
• the second sub-pixel dimension is a distance between opposing edges of the color element of a sub-pixel along the second axis;
• the first lines are configured to extend across the display at a first angle relative to the first axis, wherein the first angle is within 1° of the arctangent of
• (
• SPD
• y
• PP
• x
• )
• ;
• the second lines are configured to extend across the display at a second angle relative to the first axis, wherein the second angle is within 1° of the arctangent of
• (
• PP
• y
• 2
• ×
• SPP
• x
• )
• ;
• first lines that are adjacent to each other are separated from each other along the first axis by a first-line horizontal separation distance that is within 1% of k×PPx, 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 horizontal separation distance that is within 1% of ¾×k×PPx;
• and
• forming one or more electrodes of a touch sensor from the mesh of conductive material.