Results 171 to 180 of about 746,803 (368)

On‐Chip Active Non‐Reciprocal Topological Photonics

Advanced Materials, EarlyView.
An ultra‐compact and efficient on‐chip isolator is experimentally demonstrated by integrating magneto‐optical InSb onto a terahertz silicon topological chip. The simultaneous breaking of spatial and temporal reversal symmetries forms a valley‐conserved non‐reciprocal waveguide mode, enabling a compact cavity size of 6.4 × 2.5λ2 and a low insertion loss
Ridong Jia, Thomas Caiwei Tan, Sobhan Subhra Mishra, Wenhao Wang, Yi Ji Tan, Ranjan Singh   +5 more
wiley   +1 more source

On positively divisible non-Markovian processes [PDF]

arXiv
There are some positively divisible non-Markovian processes whose transition matrices satisfy the Chapman-Kolmogorov equation. These processes should also satisfy the Kolmogorov consistency conditions, an essential requirement for a process to be classified as a stochastic process.
arxiv  

Projects and publications of the Applied Mathematics Division

, 1957

openalex   +1 more source

Interface Topology Driven Loss Minimization in Integrated Photonics: THz Ultrahigh‐Q Cavities and Waveguides

Advanced Materials, EarlyView.
Compact, robust, and ultralow‐loss on‐chip photonic devices are essential for densely integrated photonic chips. Here, the underlying radiation mechanism in topological valley edge states is unveiled and a new methodology of interface topology driven bandgap and wavevector engineering is proposed to thoroughly suppress their radiation losses, thereby ...
Zhonglei Shen, Yi Ji Tan, Wenhao Wang, Thomas Caiwei Tan, Ruqiang Yan, Liuyang Zhang, Ranjan Singh   +6 more
wiley   +1 more source

Projects and publications of the Applied Mathematics Division :

, 1955

openalex   +1 more source

Interaction of Oligonucleotides with Gold Nanoparticles: Factors Beyond Electrostatic and Van‐Der Waals Forces

Advanced Materials Interfaces, EarlyView.
The formation of stable clusters of gold nanoparticles with oligonucleotides at different solution conditions is explored. DNA base homogeneity and strand directionality influence the binding with gold nanoparticles leading to interesting clustering behavior that can be relevant for SERS applications.
Shaila Thakur, Nicola Cavallini, Debora Ferrari, Laura Fabris   +3 more
wiley   +1 more source

Temperature‐Dependent Properties of Atomic Layer Deposition‐Grown TiO2 Thin Films

Advanced Materials Interfaces, EarlyView.
This study explores the temperature‐dependent properties of TiO₂ thin films grown by atomic layer deposition using tetrakis dimethyl amino titanium and water. The films exhibit increased oxynitride incorporation as the process temperature increases from 150 to 350 °C, significantly influencing their optical and electrical properties. Findings highlight
Nimarta Kaur Chowdhary, Theodosia Gougousi   +1 more
wiley   +1 more source

Frobenius' Theorem on Division Algebras [PDF]

arXiv
Frobenius' Theorem states that the only finite-dimensional real division algebras are the algebra of real numbers $\mathbb R$, the algebra of complex numbers $\mathbb C$, and the algebra of quaternions $\mathbb H$. We present a short proof which uses only standard undergraduate mathematics.
arxiv  

APPLIED MATHEMATICS DIVISION SUMMARY REPORT, JULY 1, 1964-JUNE 30, 1965

, 1966

openalex   +2 more sources

Ultra‐Flexible µ‐ECoG Arrays Based on PEDOT:PSS Micropillars

Advanced Materials Interfaces, EarlyView.
This work demonstrates an efficient procedure for fabricating ultra‐flexible neural interfaces endowed with micropatterned microelectrodes to increase surface area and characterized by extremely low impedance values to enable high‐quality recordings. The home‐built device has been shown to record somatosensory evoked potentials in vivo with exceptional
Alice Lunghi, Michele Bianchi, Pierpaolo Greco, Riccardo Viaro, Michele Di Lauro, Luciano Fadiga, Fabio Biscarini   +6 more
wiley   +1 more source