addenda and errata\(\def\hfill{\hskip 5em}\def\hfil{\hskip 3em}\def\eqno#1{\hfil {#1}}\)

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ISSN: 1600-5775

X-ray third-order nonlinear plane-wave Bragg-case dynamical diffraction effects in a perfect crystal. Erratum

aFaculty of Physics, Department of Solid State Physics, Yerevan State University, Alex Manoogian 1, Yerevan 0025, Armenia
*Correspondence e-mail: mbalyan@ysu.am

Edited by A. Momose, Tohoku University, Japan (Received 11 June 2016; accepted 15 June 2016; online 30 August 2016)

Formulae in the paper by Balyan (2015) [J. Synchrotron Rad. 22, 1410–1418] are corrected.

The formulae (2) and (4) in the paper Balyan (2015[Balyan, M. K. (2015). J. Synchrotron Rad. 22, 1410-1418.]) have the same essential typographical error. The correct forms of these equations are

[{\rm{rot\,rot\,}}\,{\tilde{\tilde{\bf{E}}}} + {1\over{{c^2}}} {{ {\partial^2}{\tilde{\tilde{\bf{E}}}}}\over{{\partial{t^2}}}} = -{1\over{{{{\varepsilon}}_0}{c^2}}} {{{\partial^2}{\tilde{\tilde{\bf{P}}}}} \over {\partial{t^2}}} \eqno(2)]

and

[{\rm{rot\,rot\,}}\,{\tilde{\bf{E}}}({\bf{r}},{\omega_q})- {{\omega_q^2}\over{{c^2}}} \left[1 + {\chi ^{(1)}}({\bf{r}},{\omega _q})\right]{\tilde{\bf{E}}}({\bf{r}},{\omega _q}) = {{\omega _q^2} \over {{{\rm{\varepsilon }}_0}{c^2}}}{\tilde{\bf{P}}}_{}^{\rm NL}({\bf{r}},{\omega _q}). &\quad(4)}]

In the same paper, the formulae (17) and (19) are also incorrect. The correct forms of these equations are

[{E^{\,(i)}}(x,0) = E_0^{\,(i)}\exp (ik\cos {{\rm{\theta }}^{\,(i)}}x) \eqno(17)]

and

[\eqalign{ {E_0}(x,0) & = E_0^{\,(i)}\exp (-ik\sin {\rm{\theta }}\,\Delta {\rm{\theta }}x), \cr {E_h}(x,T)& = 0.}\eqno(19)]

These equations are used for derivation of the third-order nonlinear Takagi's equations.

References

First citationBalyan, M. K. (2015). J. Synchrotron Rad. 22, 1410–1418.  Google Scholar

© International Union of Crystallography. Prior permission is not required to reproduce short quotations, tables and figures from this article, provided the original authors and source are cited. For more information, click here.

Journal logoJOURNAL OF
SYNCHROTRON
RADIATION
ISSN: 1600-5775
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