To address the importance of sound extinction (or the shadowing effect) in
the presence of a densely aggregated zooplankton layer, acoustic scattering
by weakly scattering fluid objects is studied theoretically. An analytical
expression for the extinction cross section is obtained based on the forwa
rd scattering theorem and the analytical formula for the forward scattering
amplitude is derived from the Modal Based-Deformed Cylinder Model (MB-DCM)
. The validity of the MB-DCM solution for the forward scattering amplitude
and its sensitivity to geometrical and physical parameters is studied. Comp
arison with the PC-DV;BA (Phase-Compensated-Distorted Wave Born Approximati
on) shows a reasonable agreement between the two models. The extinction cro
ss section is shown to be proportional to (ka)(2) and the induced attenuati
on is predicted for various species of zooplankton over a wide frequency ra
nge. It is shown that, under certain realistic conditions, such as the pres
ence of a swarm of aggregated krill, sound extinction by zooplankton could
influence the acoustic measurements significantly, as much as an 85% reduct
ion in acoustic intensity for Euphausia superba with n = 5000 ind./m(3) ove
r a range of 50 m. (C) 2001 Acoustical Society of America.