Defocussing correction

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Madhavan Radhakrishnan

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Apr 2, 2013, 5:25:07 AM4/2/13
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Hello,

I need to do defocussing correction for my pole figure data. Till now I could not succeed in generating a complete random texture powder sample and still trying to make one. In the mean time, I thought of incorporating theoretical defocussing correction using Schulz reflection formula. Do mtex 3.3.0 have any provision for incorporating Schulz formula? If yes, how?

Madhavan R,
IISc, Bangalore, India.




Ralf Hielscher

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Apr 8, 2013, 3:33:45 AM4/8/13
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Dear Madhavan,

you can incorporate defocussing correction according to Schulz formula by

the constant - adjust them according to you setup
mu = 1 % absorption coefficient
t  
= 1 %
penetration dept
theta
= 45*degree  % theta angle depends on the pole figure (hkl)

extract the polar angles of the pole figures
alpha = get(pf(1),'polar')

compute the correction coefficients
def0 = 1-exp(-2*mu*t/sin(theta))
defalpha
= 1-exp(-2*mu*t/sin(theta)./cos(alpha))

apply correction to the pole figure intensities
pf(1) = pf(1) .* def0 ./ defalpha

Note that the above code applies correction only to the first pole figure. Repeat these step, e.g. in a loop, for all other pole figures.

I hope this helps.

Ralf.
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