The echoes backscattered in the far field by a rigid prolate spheroid
at low and medium frequencies are computed and commented. The so-calle
d slender-body aproximation is applied to express the pressure backsca
ttered by the body when insonified by a harmonic plane wave. The impul
se response is then calculated by Fast Fourier Transform for different
angles of incidence. The computed echoes exhibit two main peaks, one
narrow and one spread out, corresponding respectively to the reflected
echo and to the diffracted waves that encircle the body once (''creep
ing waves''). The time of arrival of the specular echo corresponds to
that provided by Geometrical Optics. An explanation, resulting from th
e analysis of the computed echos, is proposed for the times of arrival
of the diffracted waves at oblique incidence. However, a theoretical
study is required to check the validity of that explanation.