Supposedly... a Doppler Radar module can detect objects through other objects like a piece of wood. I have no idea how thin the wood would need to be or how big or what material the object would need to be. I have never tried it so I don't know if it will even work for your project... The object would need to be moving, preferably to or from the radar in order to detect it. They can be purchased from eBay or Amazon and not very expensive. There are different models, some claim to have better range than others.
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