Abstract
If the body D is small in comparison with the wave length, i.e. ka ≪ 1, where a is the characteristic dimension of D and k is the wave number, then one does not have to solve integral equations in order to find the scattering amplitude. The basic idea in this chapter is as follows: for small bodies the scattering amplitude depends on some functionals of the field on capacitances or polarizability tensors as we will see shortly. If ka ≪ 1 then one can find linear algebraic equations for these quantities. Let us illustrate this by an example.
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© 1986 D. Reidel Publishing Company, Dordrecht, Holland
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Ramm, A.G. (1986). Scattering by Small Bodies. In: Scattering by Obstacles. Mathematics and Its Applications, vol 21. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4544-9_6
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DOI: https://doi.org/10.1007/978-94-009-4544-9_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8521-2
Online ISBN: 978-94-009-4544-9
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