Abstract
A phenomenological coupled exciton model is proposed in order
to characterize optical excitations in extended dendrimers.
An onsite exciton state is assigned at each phenyl rings
and a nearest neighbor hopping integral which obeys the
Gaussian distribution is considered between the exciton states.
The decreasing optical excitation energy with respect to
the dendrimer size indicates the presence of exciton funnels
along the backbone of the dendrimers. Therefore, the extended
dendrimers can work as artificial fractal antenna systems
which capture energy of light. Dynamics of an exciton is
also investigated by solving time development of a wavefunction
of optical excitations. It is shown that a damping term with
a certain magnitude is necessary in order that optical
excitations captured at the outer edge of the supermolecule
move to the central areas of the molecule.