Dynamics of unidirectional exciton migration to the molecular periphery in a photoexcited compact dendrimerUltrafast relaxation processes of excitons to the relaxed excited state in one-dimensional dimethylglyoxime platinum complexes driven by intramolecular vibrationThe collective electronic oscillators method is used to construct an effective Frenkel exciton Hamiltonian for conjugated dendrimers with fractal geometry. Self-similarity and the high degree of symmetry utilized by decomposing the space of optical excitations into irreducible representations make it possible to compute the one-exciton states and the linear optical response with reduced numerical effort that scales linearly rather than exponentially with the number of generations. The linear optical response is dominated by localized excitons belonging to the periphery.
A new generalized nonlinear Schrödinger equation describing the propagation of ultrashort pulses in bulk media exhibiting frequency dependent dielectric susceptibility and magnetic permeability is derived and used to characterize wave propagation in a negative index material. The equation has new features that are distinct from ordinary materials (mu=1): the linear and nonlinear coefficients can be tailored through the linear properties of the medium to attain any combination of signs unachievable in ordinary matter, with significant potential to realize a wide class of solitary waves.
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