Yu, Qin
(2023)
Estimation of Optical Trapping Forces
with the Eikonal Function.
PhD thesis, National University of Ireland Maynooth.
Abstract
An optical trap, also known as an optical tweezer, is a scientific instrument that
uses a highly focused laser beam to trap and manipulate microscopic particles, such
as cells or individual molecules, in three dimensions and has many applications in various
fields of science, including biology, physics, and chemistry. The optical trap works
by transferring themomentum of photons to the trapped particles, creating a force that
can hold the particle in place. Ashkin developed a model to predict the forces in an optical
trap in theMie regime, i.e. for particles larger than the wavelength of the laser. His
model is based on geometrical ray optics,whereby the rays fromthe microscope objective
trace straight lines to a single focal point. These rays are refracted by the trapped
particle and resultant change in direction of the ray imparts a force due to the conservation
of momentum. The model takes no account of the effects of wave optics, which
are highly pronounced in the focal region of a lens. The model cannot, therefore, account
for the transfer orbital angular momentum from a Laguerre-Gaussian laser in a
so-called optical spanner, or the effects of wavefront aberration caused by an imperfect
microscope objective. In this thesis, we seek to bridge the gap between wave optics
and Ashkin’smodel using the concept of the Eikonal function, which traces the flux
lines through the focus. We call these flux lines non-linear rays, and these are used to
replace the rays in Ashkin’s model. This augmented model can account for the spin of
a particle in an optical spanner and for the deleterious effect of aberration. In the journey
towards this final result several significant contributions are made. These include
the extension of Ashkin’s model to account for absorption within the particle; we see a
natural consequence for this is the emergence of a rotational force. Another important
contribution are a set of algorithms to sample the three-dimensional diffraction in the
focal region of a lens and to trace the flux lines with high accuracy.
Item Type: |
Thesis
(PhD)
|
Keywords: |
Estimation; Optical Trapping Forces; Eikonal Function; |
Academic Unit: |
Faculty of Science and Engineering > Electronic Engineering |
Item ID: |
17994 |
Depositing User: |
IR eTheses
|
Date Deposited: |
08 Jan 2024 11:56 |
URI: |
|
Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
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