Second-order photonic topological insulators that host highly localized corner states resilient to defects, are opening new routes towards developing fascinating devices. However, the existing works on second-order have mainly focused either transverse magnetic or electric modes. In this paper, we propose a dual-polarization crystal structure for both and modes through topology optimization. Si...

The conditions of relative smoothness and strong convexity were recently introduced for the analysis Bregman gradient methods convex optimization. We introduce a generalized left-pr...