Late reply so I dunno if you'll notice this, but I think you'd enjoy reading about Keele's Constant Beamwidth Transducer line array design. He passed away some

Late reply so I dunno if you'll notice this, but I think you'd enjoy reading about Keele's Constant Beamwidth Transducer line array design. He passed away some years ago, but archives of his website are around, and his AES papers are still there. The TL;DR is he adapted ideas from sonar beam forming to audio reproduction.