3d_dielectric

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3d_dielectric

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{  3D_DIELECTRIC.PDE

 

  This problem is a 3D extension of DIELECTRIC.PDE

}  

 

title  

'Electrostatic Potential'  

 

coordinates  

 cartesian3  

 

variables  

 V  

 

definitions  

 eps = 1  

 

equations  

 div(eps*grad(V)) = 0 { Potential equation }  

 

extrusion  

surface "bottom"  z=0  

surface "dielectric_bottom" z=0.1  

layer "dielectric"  

surface "dielectric_top"  z=0.2  

surface "top"  z=0.3  

 

boundaries  

 

surface "bottom" natural(V)=0  

surface "top" natural(V)=0  

 

region 1  

  start (0,0)  

  value(V) = 0     line to (1,0)  

  natural(V) = 0     line to (1,1)  

  value(V) = 100     line to (0,1)  

  natural(V) = 0     line to close  

 

region 2  

  layer "dielectric"  eps = 50  

    start (0.4,0.4)  

    line to (0.8,0.4) to (0.8,0.8) to (0.6,0.8)  

          to (0.6,0.6) to (0.4,0.6) to close  

 

monitors  

contour(V) on z=0.15 as 'Potential'  

 

plots  

contour(V) on z=0.15 as 'Potential'  

vector(-dx(V),-dy(V)) on z=0.15 as 'Electric Field'  

contour(V) on x=0.5 as 'Potential'  

 

end