Patent Number: 
Section: claims

1. A neutron beam collimation method comprising:receiving a neutron beam having a first beam divergence and comprising a plurality of neutrons;polarizing the neutron beam using a polarizer, wherein the polarizer produces a polarized neutron beam; andobtaining a collimated neutron beam from the polarized neutron beam, the collimated neutron beam having a second beam divergence that is less than the first beam divergence, wherein obtaining the collimated neutron beam comprises:mapping transverse momentum of each respective neutron, of the plurality of neutrons, onto a polarization degree of freedom of the respective neutron by applying a sequence of phase shift gradients to the polarized neutron beam using a gradient system; andafter mapping the transverse momentum, passing the polarized neutron beam through an analyzer. 2. The method of claim 1, wherein polarizing the neutron beam comprises passing the neutron beam through a first polarizing spin filter. 3. The method of claim 2, wherein passing the polarized neutron beam through the analyzer comprises passing the polarized neutron beam through a second polarizing spin filter. 4. The method of claim 1, wherein the polarizer defines a polarization direction, applying the sequence of phase shift gradients comprises applying a sequence of magnetic field gradients, and each of the magnetic field gradients has a gradient orientation that is perpendicular to the polarization direction. 5. The method of claim 4, wherein applying the sequence of magnetic field gradients comprises applying first and second magnetic field gradients at distinct locations along a propagation direction of the neutron beam, and the first and second magnetic field gradients have opposite gradient orientations. 6. The method of claim 5, wherein the first and second magnetic field gradients have the same gradient magnitude. 7. The method of claim 4, wherein obtaining the collimated neutron beam comprises obtaining a first collimated neutron beam, the sequence of magnetic field gradients comprises a first sequence of magnetic field gradients, the analyzer comprises a first analyzer, and the method further comprises:obtaining a second collimated neutron beam from the first collimated neutron beam, the second collimated neutron beam having a third beam divergence that is less than the second beam divergence, wherein obtaining the second collimated neutron beam comprises:applying a second sequence of magnetic field gradients to the first collimated neutron beam; andafter applying the second sequence of magnetic field gradients, passing the first collimated neutron beam through a second analyzer. 8. The method of claim 7, wherein the first sequence of magnetic field gradients each has a first gradient magnitude, and the second sequence of magnetic field gradients each has a second gradient magnitude that is greater than the first gradient magnitude. 9. The method of claim 1, wherein applying the sequence of phase shift gradients comprises applying a pair of magnetic fields by operation of a pair of triangular coils. 10. The method of claim 9, wherein the pair of triangular coils comprises first and second triangular coils, applying the pair of magnetic fields comprises applying first and second magnetic fields at distinct locations along a propagation direction of the neutron beam, and the first and second magnetic fields generated by the respective first and second triangular coils have opposite orientations. 11. The method of claim 9, wherein obtaining the collimated neutron beam comprises obtaining a first collimated neutron beam, the pair of magnetic fields comprises a first pair of magnetic fields generated by a first pair of triangular coils, the analyzer comprises a first analyzer, and the method further comprises:obtaining a second collimated neutron beam from the first collimated neutron beam, the second collimated neutron beam having a third beam divergence that is less than the second beam divergence, wherein obtaining the second collimated neutron beam comprises:applying a second pair of magnetic fields by operation of a second pair of triangular coils to the first collimated neutron beam; andafter applying the second pair of magnetic fields, passing the first collimated neutron beam through a second analyzer. 12. The method of claim 11, wherein the first pair of magnetic fields each has a first field strength, and the second pair of magnetic fields each has a second field strength that is greater than the first field strength. 13. The method of claim 11, wherein the first pair of triangular coils each has a first incline angle, and the second pair of triangular coils each has a second incline angle that is greater than the first incline angle. 14. A neutron beam collimation system comprising:a polarizer configured to polarize a neutron beam, the neutron beam having a first beam divergence and comprising a plurality of neutrons; anda collimator subsystem configured to receive a polarized neutron beam from the polarizer and produce a collimated neutron beam having a second beam divergence that is less than the first beam divergence, the collimator subsystem comprising a gradient system and an analyzer, the gradient system configured to map transverse momentum of each respective neutron, of the plurality of neutrons, onto a polarization degree of freedom of the respective neutron by applying a sequence of phase shift gradients to the polarized neutron beam. 15. The system of claim 14, wherein the polarizer comprises a first polarizing spin filter. 16. The system of claim 15, wherein the analyzer comprises a second polarizing spin filter. 17. The system of claim 14, wherein the polarizer defines a polarization direction, the gradient system comprises a sequence of magnetic field gradients , and each of the magnetic field gradients has a gradient orientation that is perpendicular to the polarization direction. 18. The system of claim 17, wherein the sequence of magnetic field gradients comprises first and second magnetic field gradients at distinct locations along a propagation direction of the neutron beam, and the first and second magnetic field gradients have opposite gradient orientations. 19. The system of claim 18, wherein the first and second magnetic field gradients have the same gradient magnitude. 20. The system of claim 17, wherein the collimated neutron beam comprises a first collimated neutron beam, the sequence of magnetic field gradients comprises a first sequence of magnetic field gradients, the analyzer comprises a first analyzer, and the collimator subsystem further comprises a second sequence of magnetic field gradients and a second analyzer. 21. The system of claim 20, wherein the first sequence of magnetic field gradients each has a first gradient magnitude, and the second sequence of magnetic field gradients each has a second gradient magnitude that is greater than the first gradient magnitude. 22. The system of claim 14, wherein the gradient system comprises a pair of triangular coils. 23. The system of claim 22, wherein the pair of triangular coils comprises first and second triangular coils at distinct locations along a propagation direction of the neutron beam, and the first and second triangular coils are configured to generate magnetic fields having opposite field orientations. 24. The system of claim 23, wherein the magnetic fields generated by the first and second triangular coils have the same field strength. 25. The system of claim 22, wherein the collimated neutron beam comprises a first collimated neutron beam, the pair of triangular coils comprises a first pair of triangular coils, the analyzer comprises a first analyzer, and the collimator subsystem further comprises a second pair of triangular coils and a second analyzer. 26. The system of claim 25, wherein the first pair of triangular coils is configured to generate magnetic fields having a first field strength, and the second pair of triangular coils is configured to generate magnetic fields having a second field strength that is greater than the first field strength. 27. The system of claim 25, wherein the first pair of triangular coils each has a first incline angle, and the second pair of triangular coils each has a second incline angle that is greater than the first incline angle.