The ConFIG method obtains the conflict-free direction by calculating the inverse of the loss-specific gradients matrix: $$\boldsymbol{g}_{ConFIG}=\left(\sum_{i=1}^{m ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demonstration of computing a matrix inverse using the Newton iteration algorithm. Compared to other algorithms, Newton ...

We present a systematic derivation of three mathematical models of increasing complexity for optical design, based on Hamilton’s characteristic functions and conservation of luminous flux, and briefly ...

1 Shanghai Collaborative Innovation Center of Agri-Seeds/School of Agriculture and Biology, Shanghai Jiao Tong University, Shanghai, China 2 Department of Animal Breeding and Reproduction, College of ...

I am performing structure optimization using Tidy3D's autograd integration, following a similar methodology to the "Inverse design optimization of a plasmonic nanoantenna metasurface" example notebook ...

The l₂ normalized inverse, shifted inverse, and Rayleigh quotient iterations are classic algorithms for approximating an eigenvector of a symmetric matrix. This work establishes rigorously that each ...

Abstract: An adjoint-based shape optimization approach for the inverse design of microwave components is proposed. The proposed approach is a pure postprocessing process that only needs the field ...

In a latest study published in Engineering, researchers from Nanjing University of Aeronautics and Astronautics and Zhejiang University have unveiled a pioneering approach to designing on-chip ...