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Optomechanical topology optimization of a primary mirror using adjoint sensitivity analysis.

Gui Mei, Yang Gao, Yanfang Zhao

|June 10, 2026

Summary

This study introduces an efficient adjoint sensitivity strategy for optomechanical design, reducing computational costs. The method enables lightweight mirror design with precise optical performance and clear structural features.

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Published on: August 12, 2013

Area of Science:

Optomechanics
Computational Engineering
Optical Design

Background:

Conventional optomechanical sensitivity analyses are resource-intensive.
Direct methods require substantial computation per iteration.
Need for efficient sensitivity analysis in complex designs.

Purpose of the Study:

Introduce an adjoint sensitivity strategy for optomechanical systems.
Establish a relationship between optical performance and structural deformation.
Enable efficient and accurate design optimization.

Main Methods:

Derive sensitivity of Zernike coefficients to nodal displacements.
Utilize adjoint variables from optical performance adjoint equations.
Compute Zernike coefficient sensitivity with respect to element densities.

Main Results:

Successfully designed a primary mirror with 1.7 million variables.
Achieved a lightweight design (4.165 kg) with a low area-to-mass ratio (20.39 kg/m²).
Constrained surface figure error (SFE) while ensuring accurate optical performance.

Conclusions:

The adjoint sensitivity strategy offers accurate optical performance prediction.
Provides essential sensitivities for design variables.
Enables rapid and stable convergence in optimization processes.