Theory of continuously curved and phased line sources for sound reinforcement

Open Access

Figure 2

Uniform starting conditions for both curved and phased sources: top end at x₀ = 0 at s = 0, inclined by , supplying the most distant listening position at x_r,0, with the starting value . The lower end should lie at a length s = −S and supply the closest listeners at x_r,S. To start at the top point, it is useful to work with a reversed integration direction −ds.

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