Polarization correction of the bi-static formulation of Kennaugh's physical optics scatterer transient response identity

Physics – Optics

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Electromagnetic Scattering, Physical Optics, Polarization (Waves), Asymptotic Methods, Image Reconstruction, Inverse Scattering, Transient Response

Scientific paper

An analytical time-domain expression is derived for the early time impulse response for smooth, convex, perfectly conducting scatterers under the physical optics approximation for the bistatic case. The physical optics bistatic early time impulse responses can still be interpreted as cross-sectional areas of the scatterer similar to the work of Kennaugh for the monostatic case. A crude polarization correction to the leading edge of the physical optics impulse response is obtained for the bistatic case, leading to a simple asymptotic relation between the specular principal curvature difference and certain co-polarized phase terms in the bistatic scattering matrix. Applications to direct scattering are discussed. Profile reconstruction from bistatic data with a priori knowledge of the validity range of physical optics in the time domain is proposed and tested with the sphere.

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