2004
DOI: 10.1364/opex.12.000657
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Mie scattering analysis of spherical Bragg "onion" resonators

Abstract: Combining the Mie scattering theory and a transfer matrix method, we investigate in detail the scattering of light by spherical Bragg "onion" resonators. We classify the resonator modes into two classes, the core modes that are confined by Bragg reflection, and the cladding modes that are confined by total internal reflection. We demonstrate that these two types of modes lead to significantly different scattering behaviors.

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Cited by 27 publications
(12 citation statements)
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“…Resonators have been mainly investigated for whispering gallery modes lasing because of their high quality factor, low threshold, and simple fabrication procedures. In addition, theoretical discussions underlining unique features have been presented on Bragg resonators having perfect spherical symmetry, namely Bragg onion resonators [139][140][141][142]. These latter are based on alternating concentric shells of different refractive-index materials.…”
Section: Microlasermentioning
confidence: 99%
“…Resonators have been mainly investigated for whispering gallery modes lasing because of their high quality factor, low threshold, and simple fabrication procedures. In addition, theoretical discussions underlining unique features have been presented on Bragg resonators having perfect spherical symmetry, namely Bragg onion resonators [139][140][141][142]. These latter are based on alternating concentric shells of different refractive-index materials.…”
Section: Microlasermentioning
confidence: 99%
“…where Q ext is a single particle extinction efficiency with diameter d, and refractive index m at wavelength k, which can be calculated exactly by the Mie theory for spherical particles, N(d) is the number particle size distribution, s ext is the over extinction coefficient (Liang et al 2004). The exact extinction coefficient can be obtained by solving the single particle extinction efficiency using a complex numerical method firstly based on the Mie theory, and then integrating over the polydispersed aerosol particle size distribution (Jung and Kim 2007).…”
Section: Introductionmentioning
confidence: 99%
“…For an evanescently coupled planar waveguide-microsphere system the total scattering losses in a microsphere will be the sum of losses due to: internal scattering or absorption and external surface radiation [55,56,57,58]. We will derive the analytic expressions assuming that there are minimum or no coupling losses in the microsphere-waveguide system.…”
Section: -3-2 Loss Mechanisms (Intrinsic and Extrinsic)mentioning
confidence: 99%
“…For d ~ a, the beams will be used in the scattering and absorption losses. By using thermodynamical calculations the attenuation coefficient due to internal losses can be derived as [55][56][57][58]:…”
Section: -3-2-1 Microsphere Intrinsic Scattering and Absorption Lossesmentioning
confidence: 99%
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