面向高Q值毫米波FoWLP应用的联合节距-宽度RDL螺旋电感器的构造约束Bernstein综合
Construction-Constrained Bernstein Synthesis of Joint Pitch-Width RDL Spiral Inductors for High-Q mmWave FoWLP Applications
- University of Science and Technology of China（中国科学技术大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
提出构造约束Bernstein框架联合优化螺旋电感器节距与宽度，嵌入差分进化，在毫米波FoWLP RDL电感器上实现Q值34.85，较基线提升17.5%。
AI中文摘要：
我们提出了一种用于平面螺旋电感器联合节距-宽度综合的构造约束Bernstein框架。集成一个正三次Bernstein轮廓来规定单调径向轨迹，而一个独立的Bernstein轮廓控制导体宽度。Bernstein基的非负性、单位分解和凸包性质将端点、绕线方向和宽度要求转化为代数约束。嵌入差分进化（DE）中，这些约束在全波评估之前拒绝不合格的候选方案，将昂贵的求解器调用集中在满足构造规则的几何形状上。该方法在扇出晶圆级封装（FoWLP）再分布层（RDL）中实现的双圈毫米波电感器上进行了演示，以品质因数作为优化目标。使用DE搜索受约束的Bernstein设计空间，在30 GHz下产生模拟Q值为34.85，而相同叠层、占用面积和端口下均匀阿基米德基线的Q值为29.66。这对应17.5%的改善，同时平面铜面积减少1.53%。优化后的响应在16至49 GHz范围内保持Q值≥30。
英文摘要：
We present a construction-constrained Bernstein framework for joint pitch-width synthesis of planar spiral inductors. A positive cubic Bernstein profile is integrated to prescribe a monotonic radial trajectory, while an independent Bernstein profile controls the conductor width. The nonnegativity, partition-of-unity, and convex-hull properties of the Bernstein basis convert endpoint, winding-direction, and width requirements into algebraic constraints. Embedded in differential evolution (DE), these constraints reject inadmissible candidates before full-wave evaluation, focusing expensive solver calls on geometries that satisfy the construction rules. The method is demonstrated on a two-turn mmWave inductor implemented in the redistribution layer (RDL) of fan-out wafer-level packaging (FoWLP), with the quality factor selected as the optimization objective. Searching the constrained Bernstein design space with DE yields a simulated Q of 34.85 at 30 GHz, compared with 29.66 for a uniform Archimedean baseline under the same stack, footprint, and ports. This corresponds to a 17.5% improvement while reducing planar copper area by 1.53%. The optimized response maintains Q >= 30 from 16 to 49 GHz.
