Theoretical analysis of the spectra of X-ray resonant magnetic reflectivity

Andreeva,; Smekhova, A.

doi:10.1016/j.apsusc.2005.12.132

Cited by 8 publications

(10 citation statements)

References 6 publications

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“…In general case the matrix M(z) has been calculated in the textbook [44] by coordinate method and by covariant tensor method in [51][52]. If the material equations include just the tensor of the electric susceptibility  ( ˆ(1 ) M(z) has been presented in [51,54] in the following form:…”

Section: Anysotropic Ultrathin Layermentioning

confidence: 99%

“…The magnetic contributions of the circular m  and linear l  dichroism to the susceptibility 0  in the case of the dipole resonance transitions can be presented in the following form [49,54]:…”

Section: Magnetic Contribution From a Single Layermentioning

confidence: 99%

“…It is important that the curves in Fig. 3 calculated by the simple expression (47) and by the exact theory of the magnetic reflectivity with 4x4 propagation matrices [51,54,70] are identical. It is reasonable to compare two possible kinds of measurements.…”

Section: X Y X Z Y X Y Y Y Z Z X Z Y Z Z H H H H H H H H H H H H H H ...mentioning

confidence: 99%

“…However, contrary to [38] we will take into account the influence of the variations of the radiation field ( , ) E z  at different depths z. So, for the calculation of the reflectivity with the rotated polarization we take use of ( 48) and suggest the following expression: 53), (54) (middle part of the picture) and the total reflectivity (top graph). The magnetic contributions to the reflectivity originates only from Gd layers (hatched), magnetization in which is supposed ferromagnetically ordered along the beam (L-MOKE geometry).…”

Section: Magnetic Reflectivity From the Whole Magnetic Structurementioning

confidence: 99%

“…Magnetic scattering, being significant near the absorption edges of magnetic atoms, radically complicates the theory of reflectivity, because the x-ray susceptibility of a medium becomes a tensor in the presence of the magnetic scattering. The reflectivity theory from anisotropic (magnetic) multilayers was developed in [31,[47][48][49][50] based on the eigen-wave formalism or by using the method of the 4x4 propagation matrices in [44,[51][52][53][54][55]. The application of both algorithms for interpreting real experimental data is rather time consuming; therefore, simplifying the calculations is an urgent problem.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Standing wave approach in the theory of X-ray magnetic reflectivity

Andreeva

Baulin

Repchenko

2019

J Synchrotron Radiat

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Edited by M. Yabashi, Japan An extension of the exact X-ray resonant magnetic reflectivity theory has been developed, taking into account the small value of the magnetic terms in the X-ray susceptibility tensor. It is shown that squared standing waves (fourth power of the total electric field) determine the output of the magnetic addition to the total reflectivity from a magnetic multilayer. The obtained generalized kinematical approach essentially speeds up the calculation of the asymmetry ratio in the magnetic reflectivity. The developed approach easily explains the peculiarities of the angular dependence of the reflectivity with the rotated polarization (such as the peak at the critical angle of the total external reflection). The revealed dependence of the magnetic part of the total reflectivity on the squared standing waves means that the selection of the reflectivity with the rotated polarization ensures higher sensitivity to the depth profiles of magnetization than the secondary radiation at the specular reflection condition.

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Section: Anysotropic Ultrathin Layermentioning

confidence: 99%

Section: Magnetic Contribution From a Single Layermentioning

confidence: 99%