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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 15, Iss. 4 — Apr. 1, 1998
  • pp: 1282–1290

Topological properties of laser phase

Vladislav Yu. Toronov and Vladimir L. Derbov  »View Author Affiliations

JOSA B, Vol. 15, Issue 4, pp. 1282-1290 (1998)

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Manifestations of the geometric properties of evolutionary laser-field phases are considered for some laser systems. It is shown that a bidirectional ring laser provides an effective opportunity to control geometric phases.

© 1998 Optical Society of America

OCIS Codes
(140.3570) Lasers and laser optics : Lasers, single-mode
(350.5030) Other areas of optics : Phase

Vladislav Yu. Toronov and Vladimir L. Derbov, "Topological properties of laser phase," J. Opt. Soc. Am. B 15, 1282-1290 (1998)

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  19. This fact can be understood directly from the equations of motion in R written with the spherical coordinates. One can verify that ρ does not enter the equations for the angular coordinates that therefore completely determine the dynamics of the system. Thus the phase space can be reduced to a two-dimensional sphere, which can possess only limit cycles and fixed points as attractors.
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