The Linear Algebra of Laser Beams
Major
Physics
Submission Type
Poster
Area of Study or Work
Physics
Expected Graduation Date
2024
Location
CNS Atrium, Easel 26
Start Date
4-15-2023 10:30 AM
End Date
4-15-2023 11:45 AM
Abstract
We seek to grapple with different families of separable solutions to Maxwell’s wave equation. These independent solutions form different bases consisting of laser mode sets such as the Lauguarre Gaussian functions or Hermite Gaussian functions. Geometry of an optical system plays an important role in the selection of a basis set, as it can simplify the problem. Different laser modes within a given basis have different properties, and of particular interest to us are the distinct Gouy phase shifts associated with different modes, associated with superluminal (i.e., faster-than-light) phase velocities of non-plane-wave solutions. We can generate these laser modes and their linear combinations using a programmable spatial light modulator, and look towards investigating optical bottle beams appropriate to cold optical traps.
The Linear Algebra of Laser Beams
CNS Atrium, Easel 26
We seek to grapple with different families of separable solutions to Maxwell’s wave equation. These independent solutions form different bases consisting of laser mode sets such as the Lauguarre Gaussian functions or Hermite Gaussian functions. Geometry of an optical system plays an important role in the selection of a basis set, as it can simplify the problem. Different laser modes within a given basis have different properties, and of particular interest to us are the distinct Gouy phase shifts associated with different modes, associated with superluminal (i.e., faster-than-light) phase velocities of non-plane-wave solutions. We can generate these laser modes and their linear combinations using a programmable spatial light modulator, and look towards investigating optical bottle beams appropriate to cold optical traps.