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Four-Way Huygens Arrays

A four-way line array inspired by the Kenwood JL-840W four-way speaker system can be made using four parallel rows of contiguous speaker drivers, packed together as closely as possible, as indicated in Fig.11.

Figure 11: Example of a four-way multiresolution Huygens array implemented using strips of drivers at four sizes, scaling by a factor of two from one strip to the next (octave strips), with extra large woofer row.
\resizebox{0.8\textwidth }{!}{\includegraphics{eps/strips4.eps}}

The extra large woofer breaks the pattern, suggesting using two of them as a stereo pair. Doing this makes room for a center channel, as shown in Fig.12.

Figure: Four-way multiresolution Huygens array using the same driver diameters of Fig.11, offering only stereo for the woofer, plus a 20 cm center-channel. Forty-five channels = 24+12+6+3. Nominal width $ 0.72$ meters $ = 6\times 12 = 12 \times 6 = 24\times 3$ cm.
\resizebox{0.5\textwidth }{!}{\includegraphics{eps/strips4sw.eps}}

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``A Spatial Sampling Approach to Wave Field Synthesis: PBAP and Huygens Arrays'', by Julius O. Smith III, Published 2019-11-18:
Copyright © 2020-05-15 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University