Hot Hydrogen Lenticular Concept
Take a lenticular balloon and fill it about 70% with hydrogen. Put an engine on it and use the exhaust heat from the engine to heat the hydrogen gas. When the gas expands, the bag expands. Your lift will increase and you can take-off vertically. When cold and unloaded, the airship would be a little buoyant. With the pilot, it would be a little heavy.
Now for the details. Since the lifting gas is hydrogen, great care must be taken in the design of the heating system. The gas must be isolated from any ignition sources and should have as little proximity to air as possible. My preferred method of heating the gas is to conduct heat from engine exhaust into the envelope. This way the gas stays safely inside the envelope.
Other heating methods were considered. One was to use a burner to heat a heat exchanger at the interface between the gas and the atmosphere on the bottom of the bag. This method uses an open flame near the envelope, so this seemed less safe than other methods. I also considered using microwaves to excite the gas, or to excite water inside the bag. This would be safe as long as the pilot is not exposed to the microwaves. The big question mark here is complexity and power efficiency. You could just use a home microwave oven and beam the microwaves into the envelope. You would need something in the envelope that adsorbs microwave energy. I know water will do that, but I am not sure about hydrogen. There is also the option of piping the hydrogen to the engine to heat it, but this seems like another opportunity to leak to me.
In order to dissipate static electricity, discharge lines would run down below the airship toward the ground. A lightning rod might also be needed on the balloon to keep sparks a few feet from the skin.


This little 800 watt genset goes 8 hours on a gallon of gas so the loss of fuel weight isn't much.