Time-domain Kirchhoff model for acoustic scattering from an impedance polygon facet

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Abstract
Kirchhoff formula for an impedance polygon facet is given in the time domain. The derived formula is expressed as a summation of the transient analytic functions and generalized functions and represents an impulse response of the impedance polygon facet. Current formula can be applied to transient scattering analysis of underwater objects such as fish and submarine, or rough surface in the geometrical scattering region.

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