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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 8 — Aug. 1, 2006
  • pp: 1635–1643

Graphical technique for the calculation of nonlinear optical polarization

Nandini Mukherjee  »View Author Affiliations

JOSA B, Vol. 23, Issue 8, pp. 1635-1643 (2006)

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A new graphical perturbation technique, based on the adiabatic solution of the density matrix, is developed to calculate nonlinear optical polarization. In each step of the perturbation, the adiabatic solution is expressed by a pair of conjugate diagrams describing the propagation of eigenstates. Using simple diagrammatic rules defined here, we calculate various third- and higher-order nonlinear optical polarizations including that for the seventh-harmonic generation. Inspection of higher-order calculation shows a consistent graphical pattern that can be used to directly write the nonlinear optical polarization of any desired order.

© 2006 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4160) Nonlinear optics : Multiharmonic generation
(190.4180) Nonlinear optics : Multiphoton processes

ToC Category:
Nonlinear Optics

Original Manuscript: November 17, 2005
Revised Manuscript: February 15, 2006
Manuscript Accepted: March 3, 2006

Nandini Mukherjee, "Graphical technique for the calculation of nonlinear optical polarization," J. Opt. Soc. Am. B 23, 1635-1643 (2006)

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