Propagation of the fundamental whispering gallery modes in a linear chain of microspheres
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Multi-sphere Mie theory is used to analyze the resonance response and the spatial distribution of the electromagnetic field in a system of a linear chain of microspheres. We assume that the system is coupled to a monochromatic source that would have excited a fundamental whispering gallery mode in a single sphere, and study the modification of the resonance frequencies and the spatial distribution of the field induced by optical coupling between spheres. We find that the coupled-mode approach does not give an adequate description of this situation, and that the excitations of the chain cannot be presented as linear combinations of the single-sphere fundamental modes. In the case of chains with an odd number of microspheres, there exists a single collective mode with frequency equal to that of the single-sphere resonance, which reproduces the field pattern of a single-sphere fundamental mode without distortion in every odd-numbered sphere of the chain.
PACS42.60.Da 42.25.Bs 42.82.Et
- 2.T.M. Benson, S.V. Boriskina, P. Sewell, A. Vukovic, S.C. Greedy, A.I. Nosich, Micro-optical resonators for microlasers and integrated optoelectronics, in Frontiers of Planar Lightwave Circuit Technology: Design, Simulation and Fabrication, ed. by S. Janz, J. Ctyroky, S. Tanev. NATO Sci. Ser. II: Math. Phys. Chem., vol. 216 (Springer, Dordrecht, 2006) CrossRefGoogle Scholar
- 15.M.I. Mishchenko, L.D. Travis, A.A. Lacis, Scattering, Absorption and Emission of Light by Small Particles (Cambridge University Press, Cambridge, 2002) Google Scholar