Dyadic formulation of morphology-dependent resonances. II. Perturbation theory

Journal of the Optical Society of America B: Optical Physics

Volumn 16, Issue 9, 1999, Pages 1418-1430

  Lee, K M ^a,b   Leung, P T ^a   Pang, K M ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033422849     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.16.001418     Document Type: Article

References (32)

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17. We consider MDR's of stable optical systems in the present paper; hence the imaginary part of the complex wave number of a MDR is always less than zero.
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27. In the present paper we assume that either the MDR's of the unperturbed system are nondegenerate or the perturbation does not couple degenerate MDR's by symmetry arguments. Otherwise a degenerate perturbation theory would have to be formulated, which is out of place here.
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29. lml′m′ of Eq. (A12) is nonzero only if m ≠ O. Thus we concentrate on the m ≠ cases here.
30. By mode order we mean, for TE modes, that the mode with the smallest positive Re(ωa) is of mode order 1, the second smallest is of mode order 2, and so on. The TM modes are similarly defined, except that the mode on the imaginary frequency axis is of mode order 0.
31. See, e.g., D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum: Irreducible Tensors, Spherical Harmonics, Vector Coupling Coefficients, 3nj Symbols (World Scientific, Singapore, 1988).
32. K. M. Pang, "Completeness and perturbation of morphology-dependent resonances in dielectric spheres," Ph.D. thesis dissertation (Chinese University of Hong Kong, Hong Kong, 1999).