Depth selective investigations of magnetic multilayers by X-ray resonant magnetic reflectivity

Andreeva,; Smekhova, A.; Lindgren, B.; Björck, Matts; Andersson, Gabriella

doi:10.1016/j.jmmm.2005.10.131

Cited by 9 publications

(8 citation statements)

References 8 publications

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“…Here the restrictions for the absorption approach to R-spectrum interpretation have been thoroughly analyzed. It has been demonstrated that in the cases of strongly absorptive multilayers or multicomponent films, in which res ð!Þ is of the same order as nr , the quantitative spectroscopic analysis of R-spectra should be done on the basis of the correct reflectivity theory (Parratt, 1954;Borzdov et al, 1976;Azzam & Bashara, 1987;Irkaev et al, 1993b;Ro ¨hlsberger, 1999;Stepanov & Sinha, 2000;Andreeva et al, 2006;Andreeva, 2008).…”

Section: Discussionmentioning

confidence: 99%

“…For multilayers the line shape of R-spectra at > c can be more exotic (see e.g. Andreeva et al, 2006). Therefore, the extraction of spectroscopic information from R-spectra is not direct and is connected with a time-consuming fit procedure.…”

Section: Introductionmentioning

confidence: 99%

“…For relatively large grazing angles ( > 2 c ) the kinematic approach of X-ray reflectivity theory (Hamley & Pedersen, 1994) can be applied, which allows a simpler R-spectrum processing. For the Mo ¨ssbauer case the peculiarities of the R-spectra at the Bragg reflections from periodic multilayers have been analyzed using the kinematic approach by Andreeva & Lindgren (2005).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Reflectivity spectra as absorption resonant spectra: is it correct?

Andreeva¹,

Baulin²

2022

J Appl Cryst

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Approximate expressions for X-ray resonant and Mössbauer reflectivity in the total external reflection region are developed for the limiting cases of a semi-infinite mirror with a small resonant addition to the total susceptibility and for the case of an ultrathin resonant layer. It is shown that in this region the reflectivity can depend linearly on the imaginary part of the refraction index; therefore in these cases the consideration of reflectivity spectra (R-spectra) as absorption resonant spectra, taken up in several experimental studies, can be justified. However, several effects producing dispersive distortions of the R-spectrum shape, even for very small grazing angles, have been found. It has been shown that dispersive corrections to the R-spectrum shape are mostly necessary if the non-resonant absorption is relatively large. Model calculations demonstrate that the quantitative spectroscopic information extracted from R-spectra using the software developed for absorption spectra can be inaccurate.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Reflectivity spectra as absorption resonant spectra: is it correct?

Andreeva¹,

Baulin²

2022

J Appl Cryst

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“…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%

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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“…However, experiments at synchrotrons have presented ample opportunities for such measurements. Later, the magnetic effects at absorption edges, revealing themselves in the asymmetry of the reflectivity spectrum for different X-ray polarizations, attracted more attention (see, for example, Kao et al, 1994;Knabben et al, 1998;Sacchi, 1999;Goering et al, 2001;Kim & Kortright, 2001;Oppeneer et al, 2003;Andreeva et al, 2006;Bergmann et al, 2006). To our knowledge just one theoretical paper devoted to the TEY spectra at the total reflection conditions from multilayers has been published (Ejima, 2003).…”

Section: Introductionmentioning

confidence: 99%

Interference phenomena of synchrotron radiation in TEY spectra for silicon-on-insulator structure

Andreeva

Domashevskaya

Odintsova

et al. 2012

J Synchrotron Radiat

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The general matrix theory of the photoelectron/fluorescence excitation in anisotropic multilayer films at the total reflection condition of X-rays has been developed. In a particular case the theory has been applied to explain the oscillation structure of L(2,3) XANES spectra for a SiO(2)/Si/SiO(2)/c-Si sample in the pre-edge region which has been observed by a sample current technique at glancing angles of synchrotron radiation. Remarkably the phase of the oscillations is reversed by a ∼2° angle variation. The observed spectral features are found to be a consequence of waveguide mode creation in the middle layer of strained Si, which changes the radiation field amplitude in the top SiO(2) layer. The fit of the data required the correction of the optical constants for Si and SiO(2) near the Si L(2,3)-edges.

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Depth selective investigations of magnetic multilayers by X-ray resonant magnetic reflectivity

Cited by 9 publications

References 8 publications

Reflectivity spectra as absorption resonant spectra: is it correct?

Reflectivity spectra as absorption resonant spectra: is it correct?

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

Interference phenomena of synchrotron radiation in TEY spectra for silicon-on-insulator structure

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