Science has proven that perpetual motion machines are an impossibility and even the US Patent Office has declared that PMMs will not be considered.
Amplification always requires one to add energy.
On a more technical note, what you describe is akin to a laser. Lasers operate on the principle that light can be amplified by beaming it into a solid, liquid, gas, or plasma with a mirror at both ends. The matter in between is designed to be excited by the wavelength of the light which then emits light of the same wavelength, etc., etc. Unfortunately, there is always a source of energy that fuels the amplification. I'd encourage you to look at Laser's though, for they are fascinating machines.