We consider the problem of
imaging in a region where ultrasonic waves are multiply scattered.
A transducer emits ultrasonic pulses in tissue where they scatter
from a heterogeneity (e.g. a tumor) in the region of interest
(ROI). The reflected signals are recorded and used to produce an
image of tissue. Many of the conventional imaging methods assume
the wave has scattered just once (Born-approximation) from the
heterogeneity before returning to the sensor to be recorded. In
reality, waves can scatter several times before returning to the
detector. The purpose of this paper is to show how this
restriction (the Born approximation or weak, single-scattering
approximation) can be partially removed by incorporating a-priori
known environmental scatterers, such as a cavity wall or bones
into the background velocity model in the context of acoustic
medical imaging. We also show how the partial removal of the Born
approximation assumption leads to an enhanced angular resolution
of heterogeneities that are present. We will illustrate our method
using a locally planar scatterer, which is one of the simplest
possible environments for the scatterer.
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