Conical refraction of a high-M2 laser beam

Grigorii S. Sokolovskii, V.Yu Mylnikov, Sergey N. Losev, Ksenia A. Fedorova, Edik U. Rafailov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We report on experiments with conical refraction of laser beams possessing a high beam propagation parameter M2. With beam propagation parameter values M2=3 and M2=5, unusual Lloyd's distributions with correspondingly three and five dark rings were observed. In order to explain this phenomenon, we extend the dual-cone model of the conical refraction that describes it as a product of interference of two cones that converge and diverge behind the exit facet of the crystal. In the extended model, these converging/diverging cones are represented as the cone-shaped quasi-Gaussian beams possessing the M2 parameter of an original beam. In this formalism, a beam-waist of these cone-shaped beams is proportional to the M2 value and defines the area of their interference which is a width of the Lloyd's ring. Therefore, the number of dark rings in the Lloyd distribution is defined by the M2 value and can be much greater than unity. The results of the numerical simulations within the extended dual-cone model are in excellent agreement with the experiment.

Original languageEnglish
Title of host publicationLaser Resonators, Microresonators, and Beam Control XIX 2017
EditorsAlexis V. Kudryashov, Alan H. Paxton, Vladimir S. Ilchenko
Place of PublicationBellingham, WA (US)
PublisherSPIE
Number of pages6
ISBN (Electronic)978-1-5106-0621-0
DOIs
Publication statusPublished - 20 Feb 2017
EventLaser Resonators, Microresonators, and Beam Control XIX 2017 - San Francisco, United States
Duration: 30 Jan 20172 Feb 2017

Publication series

NameSPIE Proceedings
PublisherSPIE
Volume10090
ISSN (Print)0277-786X
ISSN (Electronic)2410-9045

Conference

ConferenceLaser Resonators, Microresonators, and Beam Control XIX 2017
CountryUnited States
CitySan Francisco
Period30/01/172/02/17

Fingerprint

Refraction
Laser Beam
Laser beams
Cones
refraction
cones
Cone
laser beams
Dual Cone
Beam Propagation
Ring
Interference
Gaussian Beam
rings
Diverge
Facet
Experiment
interference
Crystal
Gaussian beams

Bibliographical note

G. S. Sokolovskii; V. Yu. Mylnikov; S. N. Losev; K. A. Fedorova and E. U. Rafailov "Conical refraction of a high-M2 laser beam", Proc. SPIE 10090, Laser Resonators, Microresonators, and Beam Control XIX, 100901R (February 20, 2017).

Copyright 2017. Society of Photo-Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic electronic or print reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.

DOI: http://dx.doi.org/10.1117/12.2252461

Keywords

  • birefringence
  • conical refraction
  • crystal optics
  • Gaussian beams
  • geometric optics
  • laser diodes

Cite this

Sokolovskii, G. S., Mylnikov, V. Y., Losev, S. N., Fedorova, K. A., & Rafailov, E. U. (2017). Conical refraction of a high-M2 laser beam. In A. V. Kudryashov, A. H. Paxton, & V. S. Ilchenko (Eds.), Laser Resonators, Microresonators, and Beam Control XIX 2017 [100901R] (SPIE Proceedings; Vol. 10090). Bellingham, WA (US): SPIE. https://doi.org/10.1117/12.2252461
Sokolovskii, Grigorii S. ; Mylnikov, V.Yu ; Losev, Sergey N. ; Fedorova, Ksenia A. ; Rafailov, Edik U. / Conical refraction of a high-M2 laser beam. Laser Resonators, Microresonators, and Beam Control XIX 2017. editor / Alexis V. Kudryashov ; Alan H. Paxton ; Vladimir S. Ilchenko. Bellingham, WA (US) : SPIE, 2017. (SPIE Proceedings).
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abstract = "We report on experiments with conical refraction of laser beams possessing a high beam propagation parameter M2. With beam propagation parameter values M2=3 and M2=5, unusual Lloyd's distributions with correspondingly three and five dark rings were observed. In order to explain this phenomenon, we extend the dual-cone model of the conical refraction that describes it as a product of interference of two cones that converge and diverge behind the exit facet of the crystal. In the extended model, these converging/diverging cones are represented as the cone-shaped quasi-Gaussian beams possessing the M2 parameter of an original beam. In this formalism, a beam-waist of these cone-shaped beams is proportional to the M2 value and defines the area of their interference which is a width of the Lloyd's ring. Therefore, the number of dark rings in the Lloyd distribution is defined by the M2 value and can be much greater than unity. The results of the numerical simulations within the extended dual-cone model are in excellent agreement with the experiment.",
keywords = "birefringence, conical refraction, crystal optics, Gaussian beams, geometric optics, laser diodes",
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Sokolovskii, GS, Mylnikov, VY, Losev, SN, Fedorova, KA & Rafailov, EU 2017, Conical refraction of a high-M2 laser beam. in AV Kudryashov, AH Paxton & VS Ilchenko (eds), Laser Resonators, Microresonators, and Beam Control XIX 2017., 100901R, SPIE Proceedings, vol. 10090, SPIE, Bellingham, WA (US), Laser Resonators, Microresonators, and Beam Control XIX 2017, San Francisco, United States, 30/01/17. https://doi.org/10.1117/12.2252461

Conical refraction of a high-M2 laser beam. / Sokolovskii, Grigorii S.; Mylnikov, V.Yu; Losev, Sergey N.; Fedorova, Ksenia A.; Rafailov, Edik U.

Laser Resonators, Microresonators, and Beam Control XIX 2017. ed. / Alexis V. Kudryashov; Alan H. Paxton; Vladimir S. Ilchenko. Bellingham, WA (US) : SPIE, 2017. 100901R (SPIE Proceedings; Vol. 10090).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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T1 - Conical refraction of a high-M2 laser beam

AU - Sokolovskii, Grigorii S.

AU - Mylnikov, V.Yu

AU - Losev, Sergey N.

AU - Fedorova, Ksenia A.

AU - Rafailov, Edik U.

N1 - G. S. Sokolovskii; V. Yu. Mylnikov; S. N. Losev; K. A. Fedorova and E. U. Rafailov "Conical refraction of a high-M2 laser beam", Proc. SPIE 10090, Laser Resonators, Microresonators, and Beam Control XIX, 100901R (February 20, 2017). Copyright 2017. Society of Photo-Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic electronic or print reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited. DOI: http://dx.doi.org/10.1117/12.2252461

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N2 - We report on experiments with conical refraction of laser beams possessing a high beam propagation parameter M2. With beam propagation parameter values M2=3 and M2=5, unusual Lloyd's distributions with correspondingly three and five dark rings were observed. In order to explain this phenomenon, we extend the dual-cone model of the conical refraction that describes it as a product of interference of two cones that converge and diverge behind the exit facet of the crystal. In the extended model, these converging/diverging cones are represented as the cone-shaped quasi-Gaussian beams possessing the M2 parameter of an original beam. In this formalism, a beam-waist of these cone-shaped beams is proportional to the M2 value and defines the area of their interference which is a width of the Lloyd's ring. Therefore, the number of dark rings in the Lloyd distribution is defined by the M2 value and can be much greater than unity. The results of the numerical simulations within the extended dual-cone model are in excellent agreement with the experiment.

AB - We report on experiments with conical refraction of laser beams possessing a high beam propagation parameter M2. With beam propagation parameter values M2=3 and M2=5, unusual Lloyd's distributions with correspondingly three and five dark rings were observed. In order to explain this phenomenon, we extend the dual-cone model of the conical refraction that describes it as a product of interference of two cones that converge and diverge behind the exit facet of the crystal. In the extended model, these converging/diverging cones are represented as the cone-shaped quasi-Gaussian beams possessing the M2 parameter of an original beam. In this formalism, a beam-waist of these cone-shaped beams is proportional to the M2 value and defines the area of their interference which is a width of the Lloyd's ring. Therefore, the number of dark rings in the Lloyd distribution is defined by the M2 value and can be much greater than unity. The results of the numerical simulations within the extended dual-cone model are in excellent agreement with the experiment.

KW - birefringence

KW - conical refraction

KW - crystal optics

KW - Gaussian beams

KW - geometric optics

KW - laser diodes

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BT - Laser Resonators, Microresonators, and Beam Control XIX 2017

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Sokolovskii GS, Mylnikov VY, Losev SN, Fedorova KA, Rafailov EU. Conical refraction of a high-M2 laser beam. In Kudryashov AV, Paxton AH, Ilchenko VS, editors, Laser Resonators, Microresonators, and Beam Control XIX 2017. Bellingham, WA (US): SPIE. 2017. 100901R. (SPIE Proceedings). https://doi.org/10.1117/12.2252461