Results 71 to 80 of about 1,660,234 (361)

Ellipticity‐Controlled Exceptional Points and Cross‐Polarized Phase Singularities in Multi‐Layer Silicon Guided Mode Resonant Metasurfaces

Advanced Optical Materials, EarlyView.
Omni‐polarizers that pull all input polarization states to an elliptical or linear polarization can be made using highly resonant bi‐layer metasurfaces. The ellipticity of the selected polarization can be controlled by choosing the layer separation.
Ben Goldberg, Shuang Zhang, Mark Lawrence   +2 more
wiley   +1 more source

Dynamics for holographic codes

Journal of High Energy Physics, 2020
We describe how to introduce dynamics for the holographic states and codes introduced by Pastawski, Yoshida, Harlow and Preskill. This task requires the definition of a continuous limit of the kinematical Hilbert space which we argue may be achieved via ...
Tobias J. Osborne, Deniz E. Stiegemann
doaj   +1 more source

On the characters of unitary representations [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1988
AbstractLet G be a locally compact group, and let D(G) be a dense subalgebra of the convolution algebra L1(G). Suppose that π is a unitary representation of G and that, for each u in D(G), π(u)) is a trace-class operator. Then the linear functional u → tr(π(u)) (the trace of π(u)) is called the D-character of π.
openaire   +2 more sources

Topology Optimization Enables Freeform Matrix Fourier Optics

Advanced Optical Materials, EarlyView.
A topology‐optimized freeform metasurface is designed and fabricated to realize matrix Fourier optics, enabling the diffraction of multiple polarization states into distinct far‐field orders. By combining forward design with gradient‐based inverse optimization, high polarization contrast of up to 98.7% is achieved.
Yu‐Tzu Liu, Yun‐Chien Wu, Chang‐Yi Lin, Huan‐Teng Su, Yu‐Qi Zhou, Yao‐Wei Huang   +5 more
wiley   +1 more source

Quantum Gowdy T3 model: Schrödinger representation with unitary dynamics [PDF]

, 2007
The linearly polarized Gowdy T{sup 3} model is paradigmatic for studying technical and conceptual issues in the quest for a quantum theory of gravity since, after a suitable and almost complete gauge fixing, it becomes an exactly soluble midisuperspace ...
Alejandro Corichi, J. Cortez, G. A. M. Marugán, J. Velhinho   +3 more
semanticscholar   +1 more source

Advances in Mode (De)Multiplexing Technologies via Circularly Symmetric Structured Light Beams

Advanced Photonics Research, EarlyView.
This review presents a comprehensive overview of mode (de)multiplexing technologies using circularly symmetric structured light beams, encompassing strategies of beam splitter combinations, multiorder diffractive gratings, optical coordinate transformations, angular dispersion lenses, multilayer cascaded modulations, and multidimensional hybrid (de ...
Qingji Zeng, Shu Chen, Zhibin Wu, Junmin Liu, Huapeng Ye, Gaiqing Zhao, Dianyuan Fan, Shuqing Chen   +7 more
wiley   +1 more source

Modeling Electrical Transport in Random Networks Composed of Metal‐Oxide Nanowires: The Transition from Junction‐Dominated to Nanowire‐Dominated Regime

Advanced Theory and Simulations, EarlyView.
This study proposes a model for the electrical transport properties of random networks of metal oxide nanowires. Based on the characteristic lengths and energies of nanowires, it allows for discussing the transition from the junction‐dominated to the nanowire‐dominated transport regime.
Andrea Ponzoni
wiley   +1 more source

g-frame generator sets for projective unitary representations

AIMS Mathematics
Frames with special structures play a crucial role in various industrial applications, such as medical imaging, quantum communication, recognition and identification software, and so on.
Aifang Liu, Jian Wu
doaj   +1 more source

On the Connection between Spherical Laplace Transform and Non-Euclidean Fourier Analysis

Mathematics, 2020
We prove that, if the coefficients of a Fourier−Legendre expansion satisfy a suitable Hausdorff-type condition, then the series converges to a function which admits a holomorphic extension to a cut-plane. Next, we introduce a Laplace-type transform
Enrico De Micheli
doaj   +1 more source

Guesstimation of Molecular Ensemble Electrostatics Properties Through SCERPA‐DFT Calculation: Molecular Field‐Coupled Nanocomputing as a Case Study

Advanced Theory and Simulations, EarlyView.
This work presents a framework combining the Self‐Consistent Electrostatic Potential Algorithm (SCERPA) and Density‐Functional Theory calculations to efficiently evaluate the electronic properties of molecular ensembles. The approach achieves ab initio‐comparable precision while significantly reducing computation time and provides the first DFT ...
Yuri Ardesi, Fabrizio Mo, Marco Vacca, Gianluca Piccinini, Mariagrazia Graziano   +4 more
wiley   +1 more source