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  • Gabi Seifert

    she/her

    Physics PhD student at the University of Colorado Boulder specializing in atomic, molecular, and optical physics.

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    Optical Tweezers

    Read my full senior thesis, which won the Barbara McClintock Award for the best senior thesis in the sciences in 2023, on Scholarship at Claremont.

    Photons carry momentum. When a tightly-focused beam of photons hit a particle, they transfer some of their momentum to the particle, exerting a force. Optical tweezers take advantage of this phenomenon to trap (or “tweeze”) a spherical bead just after the focus of a diverging laser beam, creating a potential well that pulls in beads.

    Two rays from a diverging laser beam hit a spherical bead. The rays refract through the bead (solid orange arrows) and reflect (dashed pink arrows). The net force is drawn in thick green.

    In my senior thesis project at Scripps College:

    • I built an optical tweezers setup
    • Predicted the force exerted on trapped beads, which had not previously been quantitatively calculated
    • Measured the actual force using the optical tweezers setup that I built

    Optical path diagram and photo of the optical tweezers build. The path of the 976nm trapping laser is drawn in solid orange, and the path of the brightfield light in dashed light blue.

    To predict the force, I follow the path of all possible rays from a diverging beam incident on a spherical bead in an optical trap. I then sum up all force contributions from input reflection, input refraction, first output reflection, and first output refraction for each ray, and integrate over all input angles.

    As the light path is bent in the process of reflection and refraction, the photon’s change in momentum is passed on to the bead, creating the (green arrows) forces.

    I used the Fresnel equation to determine the relative magnitudes of the forces.

    This ray analysis in combination with the measured power level of the optical tweezers predicts a net force on the scale of 10^(-13) N exerted on the bead.

    I calculated the actual force using the Equipartition Theorem, which relates the “stiffness” or spring constant of the trap to its temperature and the standard deviation of trapped beads’ position, which was determined by video analysis done in Python. The actual force exerted was also on the scale of 10^(-13) N, in good agreement with the predicted force.

    A series of photos from my build showing optical trapping in action! A 1 μm fluorescent bead is initially out of the camera’s plane of focus, in the upper left corner of the image. It is pulled in toward the optical trap (the purple laser light), and in the last frame successfully trapped within the laser, along with 5 other beads.

    Project Tags:

    • Optics lab work
    • Lasers
    • Computational physics
    • Python