There are some interesting comments at the Radiolab site.
David Lubman to find out how many shofars it would actually take to level a Bronze Age wall. To get a sense of the power of the shofar, we pay a visit to Cantor Daniel Pincus to hear him and his students blow some horns. Then, we talk to inventor Woody Norris for a modern approach to this biblical challenge."
The Fall of Jericho, from Providence Lithograph Company, 1901
Here is the podcast:
I express my theory in Volume One of my book, Hearing Shofar: The Still Small Voice of the Ram's Horn:
"For six consecutive days, 40,000 shock troops escorted the Ark of the Covenant – symbol of the Hebrew tribe’s national might – in a march around the city’s wall. Ahead of the Ark marched seven priests continuously blowing shofarot. On the seventh day, as the “psy-ops” intensified, the procession marched around the city seven times. With each circuit, I imagine more residents of the city climbed to the ramparts to watch the spectacle as their anxiety increased. At the completion of the seventh circuit, the troops broke their silence and joined the shofarot in a mighty shout. My theory is that the sudden aggressive acoustic blasts terrorized the citizens. In panic, they started shouting and running, creating tremors that ruptured the already overloaded city walls."