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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 20 — Jul. 10, 2013
  • pp: 4843–4848

Z-scan theory for nonlocal nonlinear media with simultaneous nonlinear refraction and nonlinear absorption

Mohammad Reza Rashidian Vaziri  »View Author Affiliations

Applied Optics, Vol. 52, Issue 20, pp. 4843-4848 (2013)

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In this paper, the Z-scan theory for nonlocal nonlinear media has been further developed when nonlinear absorption and nonlinear refraction appear simultaneously. To this end, the nonlinear photoinduced phase shift between the impinging and outgoing Gaussian beams from a nonlocal nonlinear sample has been generalized. It is shown that this kind of phase shift will reduce correctly to its known counterpart for the case of pure refractive nonlinearity. Using this generalized form of phase shift, the basic formulas for closed- and open-aperture beam transmittances in the far field have been provided, and a simple procedure for interpreting the Z-scan results has been proposed. In this procedure, by separately performing open- and closed-aperture Z-scan experiments and using the represented relations for the far-field transmittances, one can measure the nonlinear absorption coefficient and nonlinear index of refraction as well as the order of nonlocality. Theoretically, it is shown that when the absorptive nonlinearity is present in addition to the refractive nonlinearity, the sample nonlocal response can noticeably suppress the peak and enhance the valley of the Z-scan closed-aperture transmittance curves, which is due to the nonlocal action’s ability to change the beam transverse dimensions.

© 2013 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.3270) Nonlinear optics : Kerr effect
(190.5940) Nonlinear optics : Self-action effects

ToC Category:
Nonlinear Optics

Original Manuscript: May 8, 2013
Manuscript Accepted: May 30, 2013
Published: July 5, 2013

Mohammad Reza Rashidian Vaziri, "Z-scan theory for nonlocal nonlinear media with simultaneous nonlinear refraction and nonlinear absorption," Appl. Opt. 52, 4843-4848 (2013)

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