Eigenmodes of coupled plasmons–excitons in a system of adjoining spherical metallic-J-aggregate nanoshells

Using the spherical modes of the full-Maxwell equations, I compute the eigenfrequencies of the complex consisting of concentric passive inner core, a metallic nanoshell, molecular J-aggregate adsorped to the surface of the metal, immersed in a passive solution. The coupling of the plasmons of the metal to the excitons of the J-aggregate is incorporated in the formalism through the continuity conditions for the tangential components of the electric field and magnetic flux density at the materials interfaces. Comparison with results obtained using the electrostatic approximation shows deviations in both the values of the resonance frequencies and their decay-rates.