Think of the DMA function in a computer. With Direct Memory Access one can stream movies and use the computer to play solitaire all simultaneously.
I would, too, feel a little squeamish if all of me is to be transformed into an electromagnetic transmission which would not , or I seriously doubt, would involve micro-particles(atoms and molecules). Either that or they made a carrier beam where atoms and molecules ride piggyback at the speed of light. I think this latter is closest to Star Trek Tech.