Just to be pedantic...
Tied in, or ones on a cable, can and usually are these days, optical. They do not have a moving rubber trackball like the old one, they have a beam of light which runs your cursor on screen.
The one that are not tied in, and work without a USB cable are wifi or bluetooth mice.
And as was stated earlier, optical mice do not need a mousemat, though some desk surfaces can be too shiny and slippy and fast, and a piece of matt paper or card will be needed.