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Optica Publishing Group
  • Journal of Lightwave Technology
  • Vol. 16,
  • Issue 2,
  • pp. 292-
  • (1998)

Optimal Control Theory for the Design of Optical Waveguides

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Abstract

Techniques of optimal control theory, previously developed to assist in the design of ultrafast laser pulses for controlling laser-molecule interactions, are adapted to aid in the design of optical waveguides that can be modeled via the paraxial equation. Noting that the paraxial equation is isomorphic to the time-dependent Schrdinger Equation, previous work focussing on control of quantum systems can be directly applied to the problem of waveguide design. Specific application is given to the design of S-bend waveguides. It is shown how optimal control theory yields an algorithm which can refine an initial guess for the index of refraction profile in order to minimize a cost function which reflects design goals. Numerical examples are presented to illustrate the utility and flexibility of the proposed technique.

[IEEE ]

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