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We study transverse spin in a sub-wavelength metal-dielectric-metal (MDM)sphere when the MDM sphere exhibits avoided crossing due to hybridization ofthe surface plasmon with the Mie localized plasmon. We show that the change inthe absorptive and dipersive character near the crossing can have significanteffect on the transverse spin. An enhancement in the transverse spin is shownto be possible associated with the transparency (suppression of extinction) ofthe MDM sphere. The effect is attributed to the highly structured fieldemerging as a consequence of competition of the electric and magnetic modes.

Effects of mode mixing and avoided crossings on the transverse spin in a metal-dielectic-metal sphere