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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • 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)
http://dx.doi.org/10.1364/JOSAB.23.001635


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Abstract

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

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

Citation
Nandini Mukherjee, "Graphical technique for the calculation of nonlinear optical polarization," J. Opt. Soc. Am. B 23, 1635-1643 (2006)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-23-8-1635


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References

  1. N. Mukherjee, "Constructive interference and efficient vacuum-ultraviolet generation in resonant six-wave mixing," Phys. Rev. A 51, 3221-3226 (1995). [CrossRef] [PubMed]
  2. L. Deng, W. R. Garrett, M. G. Payne, and D. Z. Lee, "Effect of the odd-photon destructive interference on laser-induced transparency and multiphoton excitation and ionization in rubidium," Phys. Rev. A 54, 4218-4225 (1996). [CrossRef] [PubMed]
  3. J. F. Ward, "Calculation of nonlinear optical susceptibilities using diagrammatic perturbation theory," Rev. Mod. Phys. 37, 1-18 (1965). [CrossRef]
  4. A. Yariv, "The application of time evolution operators and Feynman diagrams to nonlinear optics," QE-13, 943-950 (1977).
  5. T. K. Yee and T. K. Gustafson, "Diagrammatic analysis of the density operator for nonlinear optical calculations: pulsed and CW responses," Phys. Rev. A 18, 1597-1617 (1978). [CrossRef]
  6. D. E. Nikonov and M. O. Scully "Diagrammatic representation of quantum interference in lasting without inversion," in Coherent Phenomena and Amplification without Inversion, A. L. Andreev, O. A. Kocharovskaya, and P. Mandel, eds., Proc. SPIE 2798, 198-204 (1996). [CrossRef]
  7. P. W. Milonni, and J. H. Eberly, "Temporal coherence in multiphoton absorption. Far off-resonance intermediate states," J. Chem. Phys. 68, 1602-1613 (1978). [CrossRef]
  8. Y. R. Shen, The Principles of Nonlinear Optics (Wiley, 1984).
  9. D. Marcuse, Principles of Quantum Electronics (Academic, 1980).

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