Mathematical Approximation
Signal loss calculations for high speed circuits use geometric shapes to represent the roughness of copper foils. The huray snowball model treats the surface texture of the metal as a collection of stacked spheres of varying sizes. This approach provides a more accurate prediction of power loss at high frequencies than older models that used simple triangles or cubes.
Surface Topography
Electrical current flows only on the very edge of the conductor as frequencies increase, making the texture of the copper a primary factor in attenuation. A huray snowball model simulates how the electromagnetic wave interacts with the bumps and ridges created during the foil manufacturing process. Software tools use the radius and density of these spheres to calculate the effective resistance of the trace.
The model is particularly useful for frequencies above ten gigahertz where the surface profile dominates the total loss.
Loss Prediction
Simulations use these calculations to choose the right copper foil for 5G and radar applications where every decibel of signal counts. The huray snowball model matches laboratory measurements more closely because it accounts for the three dimensional nature of the copper teeth. Applying this math allows for the identification of the best materials during the initial planning phase.
