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We report far-field approximations to the derivatives and integrals of theGreen's function for the Ffowcs Williams and Hawkings equation in the frequencydomain. The approximations are based on the far-field asymptotic of the Green'sfunction. The details of the derivations of the proposed formulations areprovided.

Far-field approximations to the derivatives and integrals of the Green's function for the Ffowcs Williams and Hawkings equation