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physics.optics2025
The geometric phase of rotations and 3D coordinate transformations
Luis Garza-Soto, Nathan Hagen
The wave description of geometric phase uses the superposition of light waves to explain the geometric phase's origin. While our previous work focused on a basis of linearly polari…
physics.optics2024
Geometric phase evolution
Nathan Hagen, Luis Garza-Soto
Geometric phase has historically been defined using closed cycles of polarization states, often derived using differential geometry on the Poincare sphere. Using the recently-devel…
physics.optics2023★ 17 cited
Deciphering Pancharatnam's discovery of geometric phase
Luis Garza-Soto, Nathan Hagen, Dorilian Lopez-Mago
While Pancharatnam discovered the geometric phase in 1956, his work was not widely recognized until its endorsement by Berry in 1987, after which it received wide appreciation. How…