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- `er` : Relative permitivity of the dielectric.
""""""
return (377*math.pi)/(2*Zo*math.sqrt(er))
def getWHRatioA(Zo,er):
""""""
Returns the W/H ratio for W/H < 2. If the result is > 2, then other method
should be used.
This function assumes that the thickenss of conductors is insignificant.
Parameters:
- `Zo` : Real impedance of the line.
- `er` : Relative permitivity of the dielectric.
""""""
A = getAuxVarA(Zo,er)
return (8*math.e**A)/(math.e**(2*A) - 2)
def getWHRatioB(Zo,er):
""""""
Returns the W/H ratio for W/H > 2. If the result is < 2, then other method
should be used.
This function assumes that the thickenss of conductors is insignificant.
Parameters:
- `Zo` : Real impedance of the line.
- `er` : Relative permitivity of the dielectric.
""""""
B = getAuxVarB(Zo,er)
return (2/math.pi)*(B-1 - math.log(2*B - 1) + (er - 1)*(math.log(B-1) + 0.39 - 0.61/er)/(2*er))
def getCharacteristicImpedance(WHratio, ef):
""""""
Returns the characteristic impedance of the medium, based on the effective
permitivity and W/H ratio.
This function assumes that the thickenss of conductors is insignificant.
Parameters:
- `WHratio` : W/H ratio.
- `ef` : Effective permitivity of the dielectric.
""""""
if WHratio <= 1:
return (60/math.sqrt(ef))*math.log(8/WHratio + WHratio/4)
else:
return (120*math.pi/math.sqrt(ef))/(WHratio + 1.393 + 0.667*math.log(WHratio +1.444))
def getWHRatio(Zo,er):
""""""
Returns the W/H ratio, after trying with the two possible set of solutions,
for when W/H < 2 or else. When no solution, returns zero.
This function assumes that the thickenss of conductors is insignificant.
Parameters:
- `Zo` : Real impedance of the line.
- `er` : Relative permitivity of the dielectric.
""""""
efa = er
efb = er
Zoa = Zo
Zob = Zo
while 1:
rA = getWHRatioA(Zoa,efa)
rB = getWHRatioB(Zob,efb)
if rA < 2:
return rA
if rB > 2:
return rB
Zoa = math.sqrt(efa)*Zoa
Zob = math.sqrt(efb)*Zob
def getCorrectedWidth(W,H,t):
""""""
For significant conductor thickness, this returns the corrected width.
Paramenters:
- `W` : Width
- `H` : Height
- `t` : Conductor thickness
""""""
if t < H and t < W/2:
if W/H <= math.pi/2:
return W + (1 + math.log(2*H/t))*(t/math.pi)
else:
return W + (1 + math.log(4*math.pi*H/t))*(t/math.pi)
else:
print ""The conductor is too thick!!""
def getConductorLoss(W,H,t,sigma,f,Zo):
""""""
Returns the conductor loss in [Np/m].
Parameters: