## A variational solution to the problem of scalar scattering by a prolate spheroid |

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2Pn(cos accuracy Alperin approximation axis back-scattered amplitude back-scattering cross section Bessel functions bounded in absolute Bouwkamp coefficients computed CONFIDENTIALo converge absolutely convergence cos2 Crispin cross-sections d(ka derived determined Diffraction eikz equation 25 evaluated expressions f(ir formulas Furthermore integral integrand io-i Legendre functions Legendre polynomials limit linear system 32 Maffett Mo Lo Barasch Mo Siegel numerical obtained Orthwein power series expansions Problem of Scalar Prolate Spheroid quantities Radar Cross Section radar cross-sections radiation patterns Rayleigh recurrence relations Referring to equation Research Report result Ro Fo Goodrich Ro Ro Bonkowski Scalar Scattering scattered field scattering cross section scattering surface Schensted SECRETo semicircle series representation Sollfrey sphere spherical Bessel functions stationary value STUDIES IN RADAR substituted Theoretical UNCLASSIFIEDo UNIVERSITY OF MICHIGAN Variational Method Variational Solution velocity potential Volo wave write XXIII A Variational yield