The mechanics of an array of loudspeakers which focuses coherent acoustical energy in the longitudinal direction, and attempt to cancel it in the transverse direction are discussed. A practical situation is discussed in generality, which leads to the creation of two absolute measures over which the performance of an array may be evaluated. A numerical scheme to evaluate the performance of different configurations of the array is proposed and its accuracy verified. A realistic situation is proposed as a test bed. A simulation is run over all practical configurations of the array which generates graphs showing the features of these configurations. These results are discussed, and an optimized design settled upon. Further practical considerations of end-fire arrays are discussed.
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