Interesting post over at the Secret Projects Forum, outlining early J-2X nozzle extension concepts.For reference, what other major tricks are there to increase nozzle length? Physical extensions seem to revolve around some type of telescoping action. Non-physical methods creating virtual nozzles, such as a magnetic nozzle perhaps?
I've always wondered if it might be technically feasible to use a variable geometry nozzle to control and throttle a pulse detonation ignition. In a pulse detonation jet engine the thermal wear and tear isn't as high as a rocket engine particularly if you use hydrogen or methane fuel so you might be able to use something like a ducted nozzle or a micro-actuated movable skirt. Could even be used in a small rocket engine in vacuum if you can get reliable pulse ignition with the right fuels.