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Geometry of One-Dimensional Wave Propagation

M. Kitano
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Abstract

We investigate the geometrical features of one-dimensional wave propagation, whose dynamics is described by the (2+1)-dimensional Lorentz group. We find many interesting geometrical ingredients such as spinorlike behavior of wave amplitudes, gauge transformations, Bloch-type equations, and Lorentz-group Berry phases. We also propose an optical experiment to verify these effects.

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M. Kitano. 1995-05-31. Geometry of One-Dimensional Wave Propagation. https://doi.org/10.1103/physreva.51.4427

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