In solution these limits (e.g., +/-1) are not realized.  Consider, as shown below, a fluorophore at the origin of our coordinate system. 
Y
Z
׀׀
I
X
Electric vector
of excitation
q
f
d+
d-
Upon absorption of an exciting photon a dipole moment is created in the fluorophore (usually of different magnitude and direction from the ground state dipole).  The orientation of this dipole moment relative to the nuclear framework, and its magnitude, will be determined by the nature of the substituents on the molecule.  This excited state dipole moment is also known as the transition dipole or transition moment.
Dipole I