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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 4 — Apr. 1, 2007
  • pp: 887–894

Multiple-scale analysis of optical bistability in semiconductor periodic structures

Kiarash Zamani Aghaie, Mahdi Rabbani, and Mahmoud Shahabadi  »View Author Affiliations

JOSA B, Vol. 24, Issue 4, pp. 887-894 (2007)

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Multiple-scale analysis is employed for the study of nonlinear wave propagation in periodic layered media. In a first step, wave propagation in each individual layer is modeled by a corresponding equivalent nonlinear transmission line. The multiple-scale analysis is then employed to establish a system of nonlinear equations for the amplitudes of the forward and backward waves in the transmission lines of the model mentioned. This system of nonlinear equations is solved with the aid of a continuation technique for derivation of transmission characteristics of the periodic structure. To study optical bistability, a parameter-switching algorithm is utilized for obtaining the solutions of the system including both stable and unstable ones. For the sake of verification, we have also utilized a nonlinear finite-difference time-domain (NFDTD) method to analyze the wave propagation in the aforementioned structure. While there is an acceptable agreement between the bistability results obtained using our method and the NFDTD, there is a considerable difference between our results and the ones derived using the conventional coupled-mode theory.

© 2007 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(050.2770) Diffraction and gratings : Gratings
(130.5990) Integrated optics : Semiconductors
(190.1450) Nonlinear optics : Bistability
(190.3270) Nonlinear optics : Kerr effect
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in

ToC Category:
Nonlinear Optics

Original Manuscript: May 26, 2006
Manuscript Accepted: November 30, 2006
Published: March 15, 2007

Kiarash Zamani Aghaie, Mahdi Rabbani, and Mahmoud Shahabadi, "Multiple-scale analysis of optical bistability in semiconductor periodic structures," J. Opt. Soc. Am. B 24, 887-894 (2007)

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