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The exact series solution for the scattering of a plane wave by hard spheroids is used to obtain explicit long-wavelength approximations in powers of k = 2π/λ, where λ is the wavelength. The far field scattering amplitude is given to the sixth power of k and the nearfield is given to the second power. The results are valid for prolate and oblate spheroids and arbitrary angles of incidence and observation.
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J. E. Burke (1966) studied this question.
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