Simulating Surface Height and Roughness
of Ink Jetted Conductors
The Computational Approach
drop_sim_flow(a).gif
Input - the input data consists of a bitmap representing the placement of droplets. A nominal droplet diameter is assigned. A nominal “volume” for each droplet is assigned.
Subdivide Droplet - each droplet is divided into subpixels. The number of subpixels used can be controlled by the user. Generally there is a tradeoff between accuracy and computation time.
pixel_subdivision.gif
droplet_function.gif
Create a droplet thickness function - this function is used to define the thickness of the droplet at any point on its surface. Note that the volume of the droplet must equal to the total volume of dispensed liquid.  We may need two separate functions -- one for a wet droplet and one for dry droplet where the solvent has evaporated.
flow_function_illustration.gif
Define a Flow Function - this function is used to describe how the fluid in the droplet flows after it reaches the substrate. The flow must be applied to overlapping and adjacent droplets in an iterative fashion until flow ends. The final solution must preserve the volume of the applied fluid. Again, one may need two functions -- one for interaction between wet droplets and another for interaction between a wet droplet and the underlying surface consisting of dried droplets.
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