Nonlinear Wavefront Control by Geometric‐Phase Dielectric Metasurfaces: Influence of Mode Field and Rotational Symmetry
Sign Up to like & getrecommendations! Published in 2020 at "Advanced Optical Materials"
DOI: 10.1002/adom.201902050
Abstract: Nonlinear Pancharatnam–Berry phase metasurfaces facilitate the nontrivial phase modulation for frequency conversion processes by leveraging photon‐spin dependent nonlinear geometric‐phases. However, plasmonic metasurfaces show some severe limitation for nonlinear frequency conversion due to the intrinsic high… read more here.
Keywords: phase; field; geometric phases; nonlinear geometric ... See more keywords
On nonlinear geometric transformations of finite elements
Sign Up to like & getrecommendations! Published in 2024 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.7506
Abstract: The paper develops a systematic procedure for formulating finite elements on manifolds. The theoretical developments give rise to a modular computational framework for composing coordinate transformations and manifold parameterizations. The procedure is demonstrated with the… read more here.
Keywords: nonlinear geometric; transformations finite; element; geometric transformations ... See more keywords
Fault diagnosis for satellite sensors and actuators using nonlinear geometric approach and adaptive observers
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.4083
Abstract: and Adaptive Observers DTU Orbit (14/04/2019) Fault Diagnosis for Satellite Sensors and Actuators using Nonlinear Geometric Approach and Adaptive Observers This paper presents a novel scheme for diagnosis of faults affecting sensors that measure the… read more here.
Keywords: fault; adaptive observers; diagnosis; nonlinear geometric ... See more keywords
Nonlinear Geometric Control of Current-Fed Dual-Active Bridge Converter With Direct Power Transfer
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Journal of Emerging and Selected Topics in Power Electronics"
DOI: 10.1109/jestpe.2025.3568674
Abstract: Linear controllers impose many limitations on the performance of dc–dc converters. Typically, the dynamics of these converters are averaged over a switching cycle and then linearized to create a linear time-invariant (LTI) system model, which… read more here.
Keywords: current fed; nonlinear geometric; geometric control; fed dual ... See more keywords
Bernstein theorems for nonlinear geometric PDEs
Sign Up to like & getrecommendations! Published in 2024 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2024072
Abstract: In this expository article we revisit the Bernstein problem for several geometric PDEs including the minimal surface, Monge-Amp\`{e}re, and special Lagrangian equations. We also discuss the minimal surface system where appropriate. The article is based… read more here.
Keywords: nonlinear geometric; bernstein theorems; geometric pdes; theorems nonlinear ... See more keywords