Ken, A recent article on reverberant chambers mentions a Q of 83,000 or so. I'd expect a pulse to excite many modes within a chamber as long as either its length or its transition times are shorter than the time it takes a wave to travel across the chamber and back. That'll smear the pulse. On the other hand the FIRST pulse received shouldn't be smeared unless the pulse is longer than the time it takes a reflected wave to arrive at the antenna. If I recall correctly, there've been some papers on time gating to take advantage of this.
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