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Mie scattering eigenmodes for optical trapping
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The Mie scattering theory enables the exact determination of the scattered field as a function of the incident field. Here, we use this approach to calculate the Hermitian relationship between the incident field and the optical forces acting on the scattering objects. This Hermitian relationship defines also a set of orthogonal optical eigenmodes which deliver a natural basis to describe momentum transfer in light-matter interactions.
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Eigenmode beam optimisation for optical micro-manipulation
A Hermitian momentum transfer matrix for Mie scattering defines optical eigenmodes whose highest eigenvalue gives the optimal trapping beam for a spherical particle.
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