Larmor encoding and Fourier reconstruction for wavelength dispersive reflectometry

B. P. Toperverg; R. Kampmann; V. V. Lauter-Pasyuk; H. J. Lauter; U. Tietze; D. Solina; A. Schreyer

doi:10.1016/j.physb.2007.02.097

Larmor encoding and Fourier reconstruction for wavelength dispersive reflectometry

B. P. Toperverg, R. Kampmann, V. V. Lauter-Pasyuk, H. J. Lauter, U. Tietze, D. Solina, A. Schreyer

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

As is well known the Larmor precession of the neutron polarization passing through a range of homogeneous magnetic field can efficiently be used for perfectly harmonic modulation of incoming (or scattered) intensity as a function of neutron wavelength. We show that the Fourier analysis of a few reflection curves obtained at a proper set of Larmor frequencies allows to numerically reconstruct the genuine reflectivity curve in great details even in the case it has been measured with a rather purely monochromatized beam. It is argued that the method can be used to substantially improve wave length resolution with moderate increase in measuring time. Further applications of the method, e.g. to small angle scattering at grazing incidence (GISANS), are briefly discussed.

Original language	English
Pages (from-to)	141-143
Number of pages	3
Journal	Physica B: Physics of Condensed Matter
Volume	397
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physb.2007.02.097
State	Published - Jul 15 2007
Externally published	Yes

Funding

The study has been supported by the European Commission under the 6th Framework Programme through the Key Action: Strengthening the European Research Area, Research Infrastructures. Contract no: RII3-CT-2003-505925.

Funders	Funder number
6th Framework Programme
European Commission

Keywords

Fourier series
Larmor precession
Polarized neutron reflectometry

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10.1016/j.physb.2007.02.097

Cite this

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title = "Larmor encoding and Fourier reconstruction for wavelength dispersive reflectometry",

abstract = "As is well known the Larmor precession of the neutron polarization passing through a range of homogeneous magnetic field can efficiently be used for perfectly harmonic modulation of incoming (or scattered) intensity as a function of neutron wavelength. We show that the Fourier analysis of a few reflection curves obtained at a proper set of Larmor frequencies allows to numerically reconstruct the genuine reflectivity curve in great details even in the case it has been measured with a rather purely monochromatized beam. It is argued that the method can be used to substantially improve wave length resolution with moderate increase in measuring time. Further applications of the method, e.g. to small angle scattering at grazing incidence (GISANS), are briefly discussed.",

keywords = "Fourier series, Larmor precession, Polarized neutron reflectometry",

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T1 - Larmor encoding and Fourier reconstruction for wavelength dispersive reflectometry

AU - Toperverg, B. P.

AU - Kampmann, R.

AU - Lauter-Pasyuk, V. V.

AU - Lauter, H. J.

AU - Tietze, U.

AU - Solina, D.

AU - Schreyer, A.

PY - 2007/7/15

Y1 - 2007/7/15

N2 - As is well known the Larmor precession of the neutron polarization passing through a range of homogeneous magnetic field can efficiently be used for perfectly harmonic modulation of incoming (or scattered) intensity as a function of neutron wavelength. We show that the Fourier analysis of a few reflection curves obtained at a proper set of Larmor frequencies allows to numerically reconstruct the genuine reflectivity curve in great details even in the case it has been measured with a rather purely monochromatized beam. It is argued that the method can be used to substantially improve wave length resolution with moderate increase in measuring time. Further applications of the method, e.g. to small angle scattering at grazing incidence (GISANS), are briefly discussed.

AB - As is well known the Larmor precession of the neutron polarization passing through a range of homogeneous magnetic field can efficiently be used for perfectly harmonic modulation of incoming (or scattered) intensity as a function of neutron wavelength. We show that the Fourier analysis of a few reflection curves obtained at a proper set of Larmor frequencies allows to numerically reconstruct the genuine reflectivity curve in great details even in the case it has been measured with a rather purely monochromatized beam. It is argued that the method can be used to substantially improve wave length resolution with moderate increase in measuring time. Further applications of the method, e.g. to small angle scattering at grazing incidence (GISANS), are briefly discussed.

KW - Fourier series

KW - Larmor precession

KW - Polarized neutron reflectometry

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Larmor encoding and Fourier reconstruction for wavelength dispersive reflectometry

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