Tootfinder

Room temperature Si:S barrier infrared detector with broadband response up to 4.4{\mu}m
He Zhu, Yunlong Xiao, Zhongyang Yu, Jiaqi Zhu, Qing Li, Zhenyu Ye, Xi Wang, Changlong Liu, Changyu Pan, Yufeng Shan, Junli Duan, Huizhen Wu, Weida Hu, Ning Dai
https://arxiv.org/abs/2405.02668

Room temperature Si:S barrier infrared detector with broadband response up to 4.4μm
Mid-infrared spectrum is a critical tool for chemical analysis, industrial inspection, environment, and other fields due to its rich chemical bond information. However, the complicated growth or fabrication procedures of existing mid-infrared sensitive materials hinder the large-scale production and utilization of mid-infrared detectors. To address this issue, we developed Si:S barrier detectors employing sulfur doped silicon and a sophisticated band barrier design. Since the transport of dark …

Sharp embedding results and geometric inequalities for H\"{o}rmander vector fields
Hua Chen, Hong-Ge Chen, Jin-Ning Li
https://arxiv.org/abs/2404.19393 https://arxiv.org/pdf/2404.19393
arXiv:2404.19393v1 Announce Type: new
Abstract: Let $U$ be a connected open subset of $\mathbb{R}^n$, and let $X=(X_1,X_{2},\ldots,X_m)$ be a system of H\"{o}rmander vector fields defined on $U$. This paper addresses sharp embedding results and geometric inequalities in the generalized Sobolev space $\mathcal{W}_{X,0}^{k,p}(\Omega)$, where $\Omega\subset\subset U$ is a general open bounded subset of $U$. By employing Rothschild-Stein's lifting technique and saturation method, we prove the representation formula for smooth functions with compact support in $\Omega$. Combining this representation formula with weighted weak-$L^p$ estimates, we derive sharp Sobolev inequalities on $\mathcal{W}_{X,0}^{k,p}(\Omega)$, where the critical Sobolev exponent depends on the generalized M\'{e}tivier index. As applications of these sharp Sobolev inequalities, we establish the isoperimetric inequality, logarithmic Sobolev inequalities, Rellich-Kondrachov compact embedding theorem, Gagliardo-Nirenberg inequality, Nash inequality, and Moser-Trudinger inequality in the context of general H\"{o}rmander vector fields.

JADES Data Release 3 -- NIRSpec/MSA spectroscopy for 4,000 galaxies in the GOODS fields
Francesco D'Eugenio, Alex J. Cameron, Jan Scholtz, Stefano Carniani, Chris J. Willott, Emma Curtis-Lake, Andrew J. Bunker, Eleonora Parlanti, Roberto Maiolino, Christopher N. A. Willmer, Peter Jakobsen, Brant E. Robertson, Benjamin D. Johnson, Sandro Tacchella, Phillip A. Cargile, Tim Rawle, Santiago Arribas, Jacopo Chevallard, Mirko Curti, Eiichi Egami, Daniel J. Eisenstein, Nimisha Kumari, Tob…

JADES Data Release 3 -- NIRSpec/MSA spectroscopy for 4,000 galaxies in the GOODS fields
We present the third data release of JADES, the JWST Advanced Deep Extragalactic Survey, providing both imaging and spectroscopy in the two GOODS fields. Spectroscopy consists of medium-depth and deep NIRSpec/MSA spectra of 4,000 targets, covering the spectral range 0.6-5.3 $μ$m and observed with both the low-dispersion prism (R=30-300) and all three medium-resolution gratings (R=500-1,500). We describe the observations, data reduction, sample selection, and target allocation. We measured 2,37…