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Perturbation approach to resonance shift of whispering gallery modes in a dielectric microsphere as a probe of a surrounding medium
Perturbation approach to resonance shift of whispering gallery modes in a dielectric microsphere as a probe of a surrounding medium
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机译:扰动方法在电介质微球体中耳语画廊模式的共振位移作为周围介质的探针
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摘要
A first-order perturbation theory similar to the one widely used in quantum mechanics is developed for transverse-electric and transverse-magnetic photonic resonance modes in a dielectric microsphere. General formulas for the resonance frequency shifts in response to a small change in the exterior refractive index and its radial profile are derived. The formulas are applied to two sensor applications of the microsphere to probe the medium in which the sphere is immersed: a refractive index detector; and a refractive index profile sensor.
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