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Propagation of the fundamental whispering gallery modes in a linear chain of microspheres

: Deych, L.I.; Schmidt, C.; Chipouline, A.; Pertsch, T.; Tünnermann, A.


Applied Physics. B 93 (2008), No.1, pp.21-30
ISSN: 0340-3793
ISSN: 0721-7269
ISSN: 0946-2171
ISSN: 1432-0649
Journal Article
Fraunhofer IOF ()
photonic molecule; enhancement; microcavity

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.