@article{Joseph:2015:10.1016/j.wavemoti.2014.12.003,
author = {Joseph, LM and Craster, RV},
doi = {10.1016/j.wavemoti.2014.12.003},
journal = {Wave Motion},
pages = {145--156},
title = {Reflection from a semi-infinite stack of layers using homogenization},
url = {http://dx.doi.org/10.1016/j.wavemoti.2014.12.003},
volume = {54},
year = {2015}
}

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TY  - JOUR
AB  - A canonical scattering problem is that of a plane wave incident upon a periodic layered medium. Our aim here is to replace the periodic medium by a homogenized counterpart and then to investigate whether this captures the reflection and transmission behaviour accurately at potentially high frequencies.We develop a model based upon high frequency homogenization and compare the reflection coefficients and full fields with the exact solution. For some material properties it is shown that the asymptotic behaviour of the dispersion curves are locally linear near critical frequencies and that low frequency behaviour is replicated at these critical, high, frequencies. The homogenization approach accurately replaces the periodic medium and the precise manner in which this is achieved then opens the way to future numerical implementation of this technique to scattering problems.
AU  - Joseph,LM
AU  - Craster,RV
DO  - 10.1016/j.wavemoti.2014.12.003
EP  - 156
PY  - 2015///
SN  - 0165-2125
SP  - 145
TI  - Reflection from a semi-infinite stack of layers using homogenization
T2  - Wave Motion
UR  - http://dx.doi.org/10.1016/j.wavemoti.2014.12.003
UR  - http://hdl.handle.net/10044/1/24024
VL  - 54
ER  - 

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