A silica bead of refractive index is immersed in water of refractive index and held…

PHYSICS · Multi-part · Fermi University Physics · Biophysics & Medical Physics · Molecular machines, transport and bioenergetics · Molecular machines, transport and bioenergetics

Forces, Machines and Signals, Ch Measuring one molecule: traps, tweezers and single-molecule fluorescence

Problem

A silica bead of refractive index n1=1.45n_1 = 1.45 is immersed in water of refractive index n2=1.33n_2 = 1.33 and held near the focus of a near-infrared laser. ((a)) Compute the relative refractive index m=n1/n2m = n_1/n_2 and the Clausius-Mossotti sign factor (m2−1)/(m2+2)(m^2-1)/(m^2+2). ((b)) State, with a one-sentence reason, whether the bead is pulled towards the focus or pushed away from it, and explain why stable three-dimensional trapping also requires a high-numerical-aperture objective rather than radiation pressure alone.

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