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Optical tweezers for undergraduates: Theoretical analysis and experiments
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10.1119/1.3138698
/content/aapt/journal/ajp/77/8/10.1119/1.3138698
http://aip.metastore.ingenta.com/content/aapt/journal/ajp/77/8/10.1119/1.3138698
View: Figures

Figures

Image of Fig. 1.
Fig. 1.

Spherical aberration in optical tweezers. (a) Idealized situation without spherical aberration. (b) Real situation in most experimental setups. The focus is degraded due to the laser refraction at the glass-water interface of the sample, decreasing the trapping efficiency.

Image of Fig. 2.
Fig. 2.

Two rays (wave vectors and ) from the beam are represented, refracting at a bead localized below the focus. The rays exert forces and when refracted on the bead surface. The resulting gradient force points to the laser focus.

Image of Fig. 3.
Fig. 3.

Two rays (wave vectors and ) from the beam are represented, refracting at a bead localized above the focus. The rays exert forces and when refracted on the bead surface. The resulting gradient force also points to the laser focus in this case.

Image of Fig. 4.
Fig. 4.

An incident ray undergoing multiple internal reflections and refractions on a bead.

Image of Fig. 5.
Fig. 5.

Coordinate reference frame employed in the calculations.

Image of Fig. 6.
Fig. 6.

Change in variables in the aberration-free case.

Image of Fig. 7.
Fig. 7.

Change in variables in the general situation, including spherical aberration.

Image of Fig. 8.
Fig. 8.

Schematic of the method used to calculate .

Image of Fig. 9.
Fig. 9.

Plot of the force versus the displacement along the direction for an oil bead with , considering spherical aberration. The graph is linear, which means that the trap stiffness is constant.

Image of Fig. 10.
Fig. 10.

Transverse trap stiffness divided by the local power as a function of bead radius: experimental data (circles), geometrical optics model considering spherical aberration (squares), and geometrical optics aberration-free model (triangles).

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/content/aapt/journal/ajp/77/8/10.1119/1.3138698
2009-08-01
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Optical tweezers for undergraduates: Theoretical analysis and experiments
http://aip.metastore.ingenta.com/content/aapt/journal/ajp/77/8/10.1119/1.3138698
10.1119/1.3138698
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