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HFSS and Planar EM Simulators >
Materials >
   Huray Surface Roughness Model       


Huray Surface Roughness Model

Because surface roughness can increase conductor power losses more than two times, Designer includes an advanced surface roughness model based on the visible features of copper conductors used in circuit fabrication. For instance, the magnified surface of copper appears as an irregular collection of nodules. The Huray model of the physical effects calls for three parameters:

Af, the area of a unit cell

N, the number of nodules per cell (modeled as spheres).

a, the radius of a typical nodule.

[spacer]

These relate to the two user specified parameters in the Surface Roughness Controls of the Stackup Tab Controls as follows:

Nodule radius, a

Hall-Huray Surface Ratio = 4 * PI *r^2*N/Af

The equations

 

 

(1)

 

 

 

 

(2)

 

 

where

 

 

(3)

 

Introducing

 

 

(4)

 

The actual calculation implemented is:

 

 

 

(5)

 

[spacer]

The dialog accepts two parameters: a and sr. The simplified model uses a=0.5 um, sr= 2.9

 

 




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