February 2023
Spotlight Summary by Oriol Arteaga
Wave description of geometric phase
The geometric phase has gained a prominent role in optical science applications and it is sometimes regarded as having an exotic character. However, its physical origin is simple and can be derived from the superposition of waves with different polarization, much as S. Pancharatnam did in 1956. Since then, the methods used to calculate or represent the geometric phase have remained rather abstract, making more visual alternatives necessary. In this context, Luis Garza-Soto and coauthors present a model that explains the geometric phase of the superposition of two waves as a result of a shift in its peak location, away from the midpoint between the peaks of the two input waves. Their analysis avoids the abstraction of spherical trigonometry and, at the same time, it still provides clear graphical visualizations of geometric phase relationships. This model offers a simple way to understand the relationship between waves and the geometric phase, without necessarily involving closed-loop cycles. This simple wave framework opens up new possibilities for exploring the geometric phase and its potential applications.
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Article Information
Wave description of geometric phase
Luis Garza-Soto, Nathan Hagen, Dorilian Lopez-Mago, and Yukitoshi Otani
J. Opt. Soc. Am. A 40(2) 388-396 (2023) View: Abstract | HTML | PDF