17 citations · 18 across the 4 of their papers we have counts for
4 papers
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…
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…
Graduate education in optics in Japan and the United States: impact of funding levels on educational structure
Nathan Hagen
We compare the optical science & engineering graduate-level educational environments at two universities in two countries: Utsunomiya University in Japan, and the University of Ari…
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…