This works by using materials that are made of tiny structures smaller than the wavelength of light. If properly constructed, such a cloak would actually guide rays of visible light around an object — much like a rock diverting water in a stream.
Or you can use optics. Optical camouflage works on the same principles of the blue screen used by TV weather forecasters and Hollywood filmmakers. If you want people to see through you, then why not just film what’s behind you and project it onto your body?