As a way to go around this issue, I sense a bit of progress through compressed sensing, see for example http://advances.sciencemag.org/content/3/12/e1701423 . This would enable one (with enough horsepower) to get 4D imaging with a single element. This is very early, but I do plan on using this hardware to test the feasibility of single-piezoelement pseudo-imaging.
Could be indeed!
Augmented sensing, there's definitely something one can do. A ping (radar-like) every 5s, and in time you listen to echoes. The more intense, the higher the frequency.
Ping me through the contact in the doc if you're keen on discussing about this!
The point being that on these experiments, the sensor isn't an array of piezos, rather a single-element piezo. Cuts the costs (a fab invoices around 100-200e for such a sensor), but lowers the overall image quality.