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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 19, Iss. 1 — Jan. 1, 2002
  • pp: 43–53

Stable all-optical limiting in nonlinear periodic structures. I. Analysis

Dmitry Pelinovsky, Jason Sears, Lukasz Brzozowski, and Edward H. Sargent  »View Author Affiliations

JOSA B, Vol. 19, Issue 1, pp. 43-53 (2002)

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We consider propagation of coherent light through a nonlinear periodic optical structure consisting of two alternating layers with different linear and nonlinear refractive indices. A coupled-mode system is derived from the Maxwell equations and analyzed for the stationary-transmission regimes and linear time-dependent dynamics. We find the domain for existence of true all-optical limiting when the input–output transmission characteristic is monotonic and clamped below a limiting value for output intensity. True all-optical limiting can be managed by compensating the Kerr nonlinearities in the alternating layers, when the net-average nonlinearity is much smaller than the nonlinearity variance. The periodic optical structures can be used as uniform switches between lower-transmissive and higher-transmissive states if the structures are sufficiently long and out-of-phase, i.e., when the linear grating compensates the nonlinearity variations at each optical layer. We prove analytically that true all-optical limiting for zero net-average nonlinearity is asymptotically stable in time-dependent dynamics. We also show that weakly unbalanced out-of-phase gratings with small net-average nonlinearity exhibit local multistability, whereas strongly unbalanced gratings with large net-average nonlinearity display global multistability.

© 2002 Optical Society of America

OCIS Codes
(190.1450) Nonlinear optics : Bistability
(190.4360) Nonlinear optics : Nonlinear optics, devices
(230.4320) Optical devices : Nonlinear optical devices

Dmitry Pelinovsky, Jason Sears, Lukasz Brzozowski, and Edward H. Sargent, "Stable all-optical limiting in nonlinear periodic structures. I. Analysis," J. Opt. Soc. Am. B 19, 43-53 (2002)

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