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An Introduction to Neutron Scattering - Spallation Neutron Source

An Introduction to Neutron Scattering - Spallation Neutron Source

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What do the Amplitudes a R and a T Look Like?<br />

• For reflection from a flat substrate, both a R and a T are complex when k 0 < 4πρ<br />

I.e. below the critical edge. For a I = 1, we find:<br />

1<br />

0.5<br />

-0.5<br />

-1<br />

0.005 0.01 0.015 0.02 0.025<br />

Real (red) & imaginary (green) parts of a R<br />

plotted against k 0 . The modulus of a R is<br />

plotted in blue. The critical edge is at<br />

k 0 ~ 0.009 A -1 . Note that the reflected wave is<br />

completely out of phase with the incident wave<br />

at k 0 = 0<br />

2<br />

1.5<br />

1<br />

0.5<br />

-0.5<br />

-1<br />

0.005 0.01 0.015 0.02 0.025<br />

Real (red) and imaginary (green) parts<br />

of a T . The modulus of a T is plotted in<br />

blue. Note that a T tends <strong>to</strong> unity at<br />

large values of k 0 as one would expect

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