A I Aleksenko et al 2008 J. Phys. A: Math. Theor. 41 255203 doi:10.1088/1751-8113/41/25/255203
High-frequency limit of the transport cross section in scattering by an obstacle with impedance boundary conditions
A I Aleksenko, J P Cruz and E L Lakshtanov
Show affiliationsThe scalar scattering of a plane wave by a strictly convex obstacle with impedance boundary conditions is considered. A uniform bound of the total cross section for all values of the frequency is presented. The high-frequency limit of the transport cross section is calculated and presented as a classical functional of the variational calculus.
- PACS
- MSC
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81Uxx Scattering theory (See also 34A55, 34L25, 34L40, 35P25, 47A40)
35J05 Laplace equation, reduced wave equation (Helmholtz), Poisson equation (See also 31Axx, 31Bxx)
- Subjects
- Dates
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Issue 25 (27 June 2008)
Received 26 February 2008, in final form 7 May 2008
Published 28 May 2008
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High-frequency limit of the transport cross section in scattering by an obstacle with impedance boundary conditions
A I Aleksenko et al 2008 J. Phys. A: Math. Theor. 41 255203
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