Nonlinear Dynamics of a Bragg Cell under Intensity Feedback in the Near-Bragg, Four-order Regime

Document Type

Article

Publication Date

10-2002

Publication Source

Applied Optics

Abstract

A detailed examination of the nonlinear dynamical behavior of an acousto-optic Bragg cell in the near-Bragg regime of operation for the case of four scattered orders under intensity feedback is carried out. This problem is an extension of the standard ideal-Bragg feedback model whereby traditionally bistability, hysteresis, and chaotic oscillations are observed under zeroth- or first-order feedback of the scattered light.

For the present case, the closed-loop equations are developed from a priori knowledge of the open-loop analytical solutions for four-order near-Bragg scattering. The results, obtained via computer simulation, reveal a variety of interesting dynamics, including bistability, bifurcation, hysteresis, chaotic oscillations (including in this case the relatively uncommon period-three behavior, in addition to the more usual period-doubling phenomenon en route to chaos), and potentially useful parametric dependence of these features.

The observed results are interpreted in terms of system behavior for varying feedback gain and bias, the so-called Klein-Cook parameter Q, and time delay, and are compared with earlier work based on the ideal Bragg regime.

Inclusive pages

6154-6167

ISBN/ISSN

1559-128X

Comments

Permission documentation is on file.

Publisher

Optical Society of America

Volume

41

Peer Reviewed

yes

Issue

29

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