TY - JOUR
T1 - High frequency perturbation formulas for the effect of small inhomogeneities
AU - Hansen, Derek J.
AU - Vogelius, Michael S.
PY - 2008
Y1 - 2008
N2 - We derive asymptotic expressions for the scattering effects of small inhomogeneities in the context of the two dimensional Helmholtz equation. Asymptotic refers to the limit as the inhomogeneity size tends to zero. One novelty is that these asymptotic formulas also apply to large frequency, not just finite or zero frequency, as has been considered previously. The derived formulas are compared to numerically simulated solutions of the Helmholtz equation.
AB - We derive asymptotic expressions for the scattering effects of small inhomogeneities in the context of the two dimensional Helmholtz equation. Asymptotic refers to the limit as the inhomogeneity size tends to zero. One novelty is that these asymptotic formulas also apply to large frequency, not just finite or zero frequency, as has been considered previously. The derived formulas are compared to numerically simulated solutions of the Helmholtz equation.
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U2 - 10.1088/1742-6596/135/1/012106
DO - 10.1088/1742-6596/135/1/012106
M3 - Article
AN - SCOPUS:72849136001
SN - 1742-6588
VL - 135
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
M1 - 012106
ER -