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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

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Adjoint-enabled optimization of optical devices based on coupled-mode equations.

Yannick Lefevre, Pierre Wahl, Nathalie Vermeulen

|October 17, 2014

Summary

This summary is machine-generated.

We developed an adjoint-enabled optimization method for designing optical devices. This approach significantly improves Raman wavelength converter efficiency and robustness compared to conventional methods.

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Area of Science:

Photonics
Optical Engineering
Materials Science

Background:

Designing complex optical devices often involves numerous parameters, making traditional optimization challenging.
Coupled-mode equations are fundamental for modeling light propagation in such devices.
Conventional design rules, like phase-matching, may not yield optimal performance or robustness.

Purpose of the Study:

To introduce an adjoint-enabled optimization method for designing optical devices governed by coupled-mode equations.
To apply this method to a silicon-on-insulator Raman wavelength converter.
To demonstrate superior performance and robustness compared to conventional designs.

Main Methods:

Combining gradient-based optimization with adjoint sensitivity analysis for coupled-mode equations.
Parametrizing a waveguide structure with 1603 variables, including width, length, and frequency difference.
Utilizing an adjoint-enabled scheme to handle a large number of design parameters efficiently.

Main Results:

Achieved over 10 dB improvement in conversion efficiency for a Raman wavelength converter.
Demonstrated a more than 7 dB increase in Stokes amplification.
Reduced sensitivity to waveguide width variations by several orders of magnitude compared to phase-matched designs.

Conclusions:

Adjoint-enabled optimization offers a more efficient and robust design strategy for optical devices than conventional phase-matching.
This method enables the design of high-performance Raman wavelength converters with enhanced stability.
The developed technique is applicable to a wide range of optical devices described by coupled-mode equations.