It is shown that certain force distributions applied to a finite porti
on of an infinitely long string do not produce any excitation outside
the region of the applied force. The existence of such nonpropagating
excitations is demonstrated by a simple example, and two general theor
ems concerning their nature are proven. Some analogies between nonprop
agating string excitations and fields produced by nonradiating sources
are noted. (C) 1998 American Association of Physics Teachers.