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Journal of Lightwave Technology

Journal of Lightwave Technology

| A JOINT IEEE/OSA PUBLICATION

  • Vol. 16, Iss. 2 — Feb. 1, 1998
  • pp: 292–

Optimal Control Theory for the Design of Optical Waveguides

D. K. Pant, Rob D. Coalson, Marta I. Hernandez, and Jose Campos-Martinez

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


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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 ]

Citation
D. K. Pant, Rob D. Coalson, Marta I. Hernandez, and Jose Campos-Martinez, "Optimal Control Theory for the Design of Optical Waveguides," J. Lightwave Technol. 16, 292- (1998)
http://www.opticsinfobase.org/jlt/abstract.cfm?URI=jlt-16-2-292

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