A mathematical approach to solve the porthole die design problem is achieved by statistical analysis of a large amount geometric data successful designs. Linear and logarithmic regression are used analyse geometrical 596 different ports from 88 first trial dies. Non-significant variables or high correlated discarded according knowledge extrusion process criteria. This paper focuses on validatio...

Analytical target cascading (ATC) is a methodology for hierarchical multilevel system design optimization. In previous work, the deterministic ATC formulation was extended to account for random variables represented by expected values to be matched among subproblems and thus ensure design consistency. In this work, the probabilistic formulation is augmented to allow the introduction and matchin...

Abstract Spatially incoherent light sources, such as spontaneously emitting atoms, naively require Maxwell’s equations to be solved many times obtain the total emission, which becomes computationally intractable in conjunction with large-scale optimization (inverse design). We present a trace formulation of emission that can efficiently combined inverse design, even for topology over thousands ...