Geometry of one-dimensional wave propagation

M. Kitano
Phys. Rev. A 51, 4427 – Published 1 June 1995
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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.

  • Received 6 October 1994

DOI:https://doi.org/10.1103/PhysRevA.51.4427

©1995 American Physical Society

Authors & Affiliations

M. Kitano

  • Department of Electronics, Kyoto University, Kyoto 606-01, Japan

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Vol. 51, Iss. 6 — June 1995

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