Abstract
In previous chapters we considered 1-D elements radiating two dimensional waves into a fluid as this simple configuration can explain many of the fundamental issues associated with arrays such as grating lobes, steering and focusing, etc. In this chapter we will develop models that describe the radiation of a 2-D array element in three dimensions. This is a more practical configuration that can be used to directly model the radiation characteristics of the linear and 2-D matrix arrays often used in practice. We will employ many of the same methods and models used in Chap. 2, where now they will be implemented for fully 3-D problems. As done earlier, we will describe radiation in both a single medium and through a planar interface.
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