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Intriguing branching of the maximum position of the absorption cross section in Mie theory explained

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Abstract

A potential control over the position of maxima of scattering and absorption cross sections can be exploited to better tailor nanoparticles for specific light–matter interaction applications. Here we explain in detail the mechanism of an appreciable blue shift of the absorption cross-section peak relative to a metal spherical particle localized surface plasmon resonance (LSPR) defined as the maximum of the extinction (and scattering) cross section. Such a branching of cross sections’ maxima requires a certain threshold value of size parameter ($x \approx 0.7$ for dipole channel) and is a prerequisite for obtaining high fluorescence enhancements, because the spectral region of high radiative rate enhancement becomes separated from the spectral region of high non-radiative rate enhancement. A consequence is that the maximum of the absorption cross section cannot be used as the definition of the LSPR position for $x \gtrsim 0.7$.

© 2020 Optical Society of America

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