Polynomial Background Source

EPMA Probe

Polynomial Background Source

 

' Use polynomial

pxdata!(1) = sample(1).LoPeaks!(j%)     ' load three known positions

pxdata!(2) = sample(1).OnPeaks!(j%)

pxdata!(3) = sample(1).HiPeaks!(j%)

 

' Get three y values for these positions

pydata!(1) = sample(1).BackgroundPolynomialCoefficients!(1, j%) + sample(1).BackgroundPolynomialCoefficients!(2, j%) * sample(1).LoPeaks!(j%) + sample(1).BackgroundPolynomialCoefficients!(3, j%) * sample(1).LoPeaks!(j%) ^ 2

pydata!(2) = sample(1).BackgroundPolynomialCoefficients!(1, j%) + sample(1).BackgroundPolynomialCoefficients!(2, j%) * sample(1).OnPeaks!(j%) + sample(1).BackgroundPolynomialCoefficients!(3, j%) * sample(1).OnPeaks!(j%) ^ 2

pydata!(3) = sample(1).BackgroundPolynomialCoefficients!(1, j%) + sample(1).BackgroundPolynomialCoefficients!(2, j%) * sample(1).HiPeaks!(j%) + sample(1).BackgroundPolynomialCoefficients!(3, j%) * sample(1).HiPeaks!(j%) ^ 2

 

' Scale y values to current nominal beam

If UseBeamDriftCorrectionFlag Then

If sample(1).BackgroundPolynomialNominalBeam!(j%) <> 0# And NominalBeam! <> 0 Then

temp! = NominalBeam! / sample(1).BackgroundPolynomialNominalBeam!(j%)

pydata!(1) = pydata!(1) * temp!

pydata!(2) = pydata!(2) * temp!

pydata!(3) = pydata!(3) * temp!

End If

End If

 

' Re-fit the data using new scaled y values

order% = 2  ' 2nd order polynomial

npts% = 3

Call LeastSquares(order%, npts%, pxdata!(), pydata!(), acoeff!())

If ierror Then Exit Sub

 

If DebugMode Then

msg$ = "Polynomial re-fit coefficients for " & sample(1).Elsyms$(j%) & " (beam correction = " & Format$(temp!) & ") " & Str$(acoeff!(1)) & Str$(acoeff!(2)) & Str$(acoeff!(3))

Call IOWriteLog(msg$)

End If

 

' Calculate off-peak values based on new fit coefficients

temp1! = acoeff!(1) + acoeff!(2) * sample(1).HiPeaks!(j%) + acoeff!(3) * sample(1).HiPeaks!(j%) ^ 2

temp2! = acoeff!(1) + acoeff!(2) * sample(1).LoPeaks!(j%) + acoeff!(3) * sample(1).LoPeaks!(j%) ^ 2

 

' Calculate offsets from current off-peak measurements

temp3! = sample(1).HiPeakCounts!(i%, j%) - temp1!

temp4! = sample(1).LoPeakCounts!(i%, j%) - temp2!

 

' Average current offsets

temp! = (temp3! + temp4!) / 2#

 

' Calculate new y intercept for this sample based on offset

tintercept! = temp! + acoeff(1)

 

' Calculate actual background using new rescaled coefficients at on-peak position

bgdcts! = tintercept! + acoeff!(2) * sample(1).OnPeaks!(j%) + acoeff!(3) * sample(1).OnPeaks!(j%) ^ 2

sample(1).BgdData!(i%, j%) = bgdcts!