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We present a summarized and simplified introduction to our wave description of geometric phase. We start by discussing the addition of cosine waves of different amplitudes and a phase between them, from which immediately arises the geometric phase in 1D. We then expand on the analysis to the 2D case using the orthogonal components of a polarized light wave. We then show a graphic visualization that facilitates the analysis of geometric phase and use it to quantify the geometric phase obtained by passing different states of polarization through a quarter wave plate.
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Luis Garza-Soto, Nathan Hagen, Dorilian Lopez-Mago, Yukitoshi Otani, "Introduction to the wave description of geometric phase," Proc. SPIE 12690, Polarization Science and Remote Sensing XI, 1269007 (3 October 2023); https://doi.org/10.1117/12.2677214