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The Quarterly Journal of Mechanics and Applied Mathematics Advance Access originally published online on May 7, 2009
The Quarterly Journal of Mechanics and Applied Mathematics 2009 62(3):311-319; doi:10.1093/qjmam/hbp011
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© The author 2009. Published by Oxford University Press; all rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

On the static term for the electric field in crystal optics

Norbert Ortner and Peter Wagner{dagger}

( University of Innsbruck, Technikerstrasse 13, A-6020 Innsbruck, Austria )

{dagger} <wagner{at}mat1.uibk.ac.at>

Received 17 November 2008. Revise 8 April 2009. Accepted 15 April 2009.


  Abstract

A short formula for the so-called static term E1 in the fundamental matrix of the time-dependent system of crystal optics is given. This improves the correct, albeit very complicated expression for E1 derived previously by Burridge and Qian. Furthermore, the nature of the singularity of E1 at the origin is elucidated precisely.


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