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An Introduction to Neutron Scattering - Spallation Neutron Source

An Introduction to Neutron Scattering - Spallation Neutron Source

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The Principle of <strong>Neutron</strong> Resonant Spin Echo<br />

• Within a coil, the neutron is subjected <strong>to</strong> a<br />

steady, strong field, B0, and a weak rf field<br />

B1cos(ωt) with a frequency ω = ω0 = γ B0 – Typically, B0 ~ 100 G and B1 ~ 1 G<br />

• In a frame rotating with frequency ω 0, the neutron spin sees a constant field<br />

of magnitude B 1<br />

• The length of the coil region is chosen so that the neutron spin precesses<br />

around B1 thru an angle π.<br />

• The neutron precession phase is:<br />

φ<br />

exit<br />

neutron<br />

= φ<br />

= 2φ<br />

exit<br />

RF<br />

entry<br />

RF<br />

+ ( φ<br />

−φ<br />

entry<br />

RF<br />

−φ<br />

entry<br />

neutron<br />

entry<br />

neutron<br />

)<br />

+ ω d / v<br />

0<br />

S<br />

entry<br />

S<br />

B 0<br />

exit<br />

S<br />

B 1 (t)<br />

rotated π<br />

exit<br />

B 1<br />

entry<br />

B 1

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