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A new, more general and extremely stable solution to the problem of scattering of electromagnetic waves from precipitation particles is presented, based on the solution of Lippmann-Schwinger type equations in complex Fourier space. We believe that the solution is not so demanding in either computer time or storage as existing methods. It also incorporates the calculation of the scattering amplitude for any incidence angle and polarisation. Results of scattering from oblate axisymmetric spheroidal raindrops at 11 GHz are presented.