A Model for the Force Exerted on a Primary Cilium by an Optical Trap and the Resulting Deformation
Abstract
:1. Introduction
The Electric Field and the discrete dipole approximation (DDA)
- Electric field field amplitude
- Trap beam waist
- Trap beam diameter at dipole ‘i’
- Wavenumber
- Rayleigh length
- Radius of curvature
- Radial coordinate
- P the optical power
- NA the numerical aperture of the focusing lens, and
- δx, δy, δz are the displacement of the center of the beam waist from the coordinate origin, which we place at the center of the base of the cilium.
2. Results
2.1. The Force on a Dipole and the Force Density
2.2. The z Dependence of the Force Density and the Bending of a Cilium
2.3. The General Case
2.4. A Very Narrow Cylinder
3. Discussion
4. Conclusions
Acknowledgments
Author Contributions
Appendix A: Using the DDA to Calculate the Scattered Electric Field
Appendix B: Series Solution for the Force on a Cylinder
Conflict of Interest
References
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Lofgren, I.; Resnick, A. A Model for the Force Exerted on a Primary Cilium by an Optical Trap and the Resulting Deformation. Photonics 2015, 2, 604-618. https://doi.org/10.3390/photonics2020604
Lofgren I, Resnick A. A Model for the Force Exerted on a Primary Cilium by an Optical Trap and the Resulting Deformation. Photonics. 2015; 2(2):604-618. https://doi.org/10.3390/photonics2020604
Chicago/Turabian StyleLofgren, Ian, and Andrew Resnick. 2015. "A Model for the Force Exerted on a Primary Cilium by an Optical Trap and the Resulting Deformation" Photonics 2, no. 2: 604-618. https://doi.org/10.3390/photonics2020604