统一和加速水平设置和基于密度的拓优化通过子像素平滑投影
Optics express
|September 23, 2025
概括
我们开发了一种用于拓优化 (TopOpt) 的新子像素平滑投影 (SSP) 方法,该方法可以提高度并简化计算. 这种可微分二元化技术提高了光子学反向设计问题的性能.
科学领域:
- 计算工程 计算工程 计算工程
- 材料科学 材料科学 材料科学
- 光学和光子学 在光学和光子学.
背景情况:
- 对于可微分二元化的传统拓优化 (TopOpt) 方法面临着近乎无差异性和缓慢融合的挑战.
- 在TopOpt中现有的投影方案在优化过程中难以有效地提高二进制化.
研究的目的:
- 引入一种新的"子像素平滑投影" (SSP) 公式,作为拓优化中可微分二元化的优越替代方案.
- 为了实现基于密度的TopOpt和水平设置方法之间的顺过渡,以改善形状演变.
主要方法:
- 开发了SSP配方,它利用了过的设计场及其空间梯度.
- 实施SSP作为拓优化现有投影方案的随时替代.
- 通过有限差异,富里埃模态和有限元计算方法验证了该方法.
主要成果:
- 统一计划方案的方法克服了以前方案的局限性,实现了顺的过渡和更快的融合.
- 在各种光子反向设计问题上证明了有效性.
- 与传统方法相比,在优化过程中实现了更大的简单性.
结论:
- 亚像素平滑投影 (SSP) 公式在可微分二元化中为拓优化提供了重大进展.
- SSP为反向设计问题提供了更强大,更有效的方法,特别是在光子学中.
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