Geometric phase in beating of light waves

Research output: Contribution to journalArticle

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Geometric phase in beating of light waves. / Hannonen, Antti; Saastamoinen, Kimmo; Leppanen, Lasse-Petteri; Koivurova, Matias; Shevchenko, Andriy; Friberg, Ari T.; Setala, Tero.

In: New Journal of Physics, Vol. 21, 083030, 14.08.2019.

Research output: Contribution to journalArticle

Harvard

Hannonen, A, Saastamoinen, K, Leppanen, L-P, Koivurova, M, Shevchenko, A, Friberg, AT & Setala, T 2019, 'Geometric phase in beating of light waves', New Journal of Physics, vol. 21, 083030. https://doi.org/10.1088/1367-2630/ab3740

APA

Hannonen, A., Saastamoinen, K., Leppanen, L-P., Koivurova, M., Shevchenko, A., Friberg, A. T., & Setala, T. (2019). Geometric phase in beating of light waves. New Journal of Physics, 21, [083030]. https://doi.org/10.1088/1367-2630/ab3740

Vancouver

Hannonen A, Saastamoinen K, Leppanen L-P, Koivurova M, Shevchenko A, Friberg AT et al. Geometric phase in beating of light waves. New Journal of Physics. 2019 Aug 14;21. 083030. https://doi.org/10.1088/1367-2630/ab3740

Author

Hannonen, Antti ; Saastamoinen, Kimmo ; Leppanen, Lasse-Petteri ; Koivurova, Matias ; Shevchenko, Andriy ; Friberg, Ari T. ; Setala, Tero. / Geometric phase in beating of light waves. In: New Journal of Physics. 2019 ; Vol. 21.

Bibtex - Download

@article{ca53b83835024df08767e015f443b988,
title = "Geometric phase in beating of light waves",
abstract = "Beating is a simple physical phenomenon known for long in the context of sound waves but remained surprisingly unexplored for light waves. When two monochromatic optical beams of different frequencies and states of polarization interfere, the polarization state of the superposition field exhibits temporal periodic variation-polarization beating. In this work, we reveal a foundational and elegant phase structure underlying such polarization beating. We show that the phase difference over a single beating period decomposes into the Pancharatnam-Berry geometric phase and a dynamical phase of which the former depends exclusively on the intensities and polarization states of the interfering beams whereas the sum of the phases is determined solely by the beam frequencies. Varying the intensity and polarization characteristics of the beams, the relative contributions of the geometric and dynamical phases can be adjusted. The geometric phase inherent in polarization beating is governed by a compact expression containing only the Stokes parameters of the interfering waves and can alternatively be obtained from the individual beam intensities and the amplitude of the intensity beats. We demonstrate both approaches experimentally by using an interferometer with a fast detector and a specific polarimetric arrangement. Polarization beating has a unique character that the geometric and dynamical phases are entangled, i.e. variation in one unavoidably leads to a change in the other. Our work expands geometric phases into a new domain and offers important novel insight into the role of polarization in interference of electromagnetic waves.",
keywords = "polarization, geometric phase, Pancharatnam-Berry phase, interferometry, STOKES PARAMETERS, PANCHARATNAM PHASE, TOPOLOGICAL PHASE",
author = "Antti Hannonen and Kimmo Saastamoinen and Lasse-Petteri Leppanen and Matias Koivurova and Andriy Shevchenko and Friberg, {Ari T.} and Tero Setala",
year = "2019",
month = "8",
day = "14",
doi = "10.1088/1367-2630/ab3740",
language = "English",
volume = "21",
journal = "New Journal of Physics",
issn = "1367-2630",

}

RIS - Download

TY - JOUR

T1 - Geometric phase in beating of light waves

AU - Hannonen, Antti

AU - Saastamoinen, Kimmo

AU - Leppanen, Lasse-Petteri

AU - Koivurova, Matias

AU - Shevchenko, Andriy

AU - Friberg, Ari T.

AU - Setala, Tero

PY - 2019/8/14

Y1 - 2019/8/14

N2 - Beating is a simple physical phenomenon known for long in the context of sound waves but remained surprisingly unexplored for light waves. When two monochromatic optical beams of different frequencies and states of polarization interfere, the polarization state of the superposition field exhibits temporal periodic variation-polarization beating. In this work, we reveal a foundational and elegant phase structure underlying such polarization beating. We show that the phase difference over a single beating period decomposes into the Pancharatnam-Berry geometric phase and a dynamical phase of which the former depends exclusively on the intensities and polarization states of the interfering beams whereas the sum of the phases is determined solely by the beam frequencies. Varying the intensity and polarization characteristics of the beams, the relative contributions of the geometric and dynamical phases can be adjusted. The geometric phase inherent in polarization beating is governed by a compact expression containing only the Stokes parameters of the interfering waves and can alternatively be obtained from the individual beam intensities and the amplitude of the intensity beats. We demonstrate both approaches experimentally by using an interferometer with a fast detector and a specific polarimetric arrangement. Polarization beating has a unique character that the geometric and dynamical phases are entangled, i.e. variation in one unavoidably leads to a change in the other. Our work expands geometric phases into a new domain and offers important novel insight into the role of polarization in interference of electromagnetic waves.

AB - Beating is a simple physical phenomenon known for long in the context of sound waves but remained surprisingly unexplored for light waves. When two monochromatic optical beams of different frequencies and states of polarization interfere, the polarization state of the superposition field exhibits temporal periodic variation-polarization beating. In this work, we reveal a foundational and elegant phase structure underlying such polarization beating. We show that the phase difference over a single beating period decomposes into the Pancharatnam-Berry geometric phase and a dynamical phase of which the former depends exclusively on the intensities and polarization states of the interfering beams whereas the sum of the phases is determined solely by the beam frequencies. Varying the intensity and polarization characteristics of the beams, the relative contributions of the geometric and dynamical phases can be adjusted. The geometric phase inherent in polarization beating is governed by a compact expression containing only the Stokes parameters of the interfering waves and can alternatively be obtained from the individual beam intensities and the amplitude of the intensity beats. We demonstrate both approaches experimentally by using an interferometer with a fast detector and a specific polarimetric arrangement. Polarization beating has a unique character that the geometric and dynamical phases are entangled, i.e. variation in one unavoidably leads to a change in the other. Our work expands geometric phases into a new domain and offers important novel insight into the role of polarization in interference of electromagnetic waves.

KW - polarization

KW - geometric phase

KW - Pancharatnam-Berry phase

KW - interferometry

KW - STOKES PARAMETERS

KW - PANCHARATNAM PHASE

KW - TOPOLOGICAL PHASE

U2 - 10.1088/1367-2630/ab3740

DO - 10.1088/1367-2630/ab3740

M3 - Article

VL - 21

JO - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

M1 - 083030

ER -

ID: 36622219