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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 7, Iss. 9 — Oct. 23, 2000
  • pp: 299–304

Analytical solutions for three and four diffraction orders interaction in Kerr media

N. Korneev  »View Author Affiliations

Optics Express, Vol. 7, Issue 9, pp. 299-304 (2000)

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The analytical solution for the interaction of three diffraction orders in the Kerr medium is obtained by reducing the problem to the completely integrable Hamiltonian task. Intensities of all waves are periodic with propagation length and linearly related, the amplitudes are quasi-periodic and expressed in elliptic functions. Symmetrical four-order interaction also admits an analytical solution.

© Optical Society of America

OCIS Codes
(090.7330) Holography : Volume gratings
(190.5330) Nonlinear optics : Photorefractive optics
(190.7070) Nonlinear optics : Two-wave mixing

ToC Category:
Research Papers

Original Manuscript: August 25, 2000
Published: October 23, 2000

N. Korneev, "Analytical solutions for three and four diffraction orders interaction in Kerr media," Opt. Express 7, 299-304 (2000)

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