A mathematical model for understanding near-field Mie scattering, as used in optical trap nanomery for single molecule detection, is developed. Both perpendicular and parallel polarization states of incident electromagnetic waves have been considered. Simulations under different incident angles, and refractive indices of trapped particle have been investigated. Half-space signal strength is studied on the base of the calculated three-dimensional scattered electromagnetic field.
We compare the effects of spherical aberration on the penetration depth of single-photon and two-photon excitation for instances in which the aberration is caused by the refractive-index mismatch when a beam is focused through an interface. It is shown both theoretically and experimentally that two-photon fluorescence imaging experiences less spherical aberration and can thus propagate to a deeper depth within a thick medium.
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