scholarly journals Jones matrix holography with metasurfaces

2021 ◽  
Vol 7 (33) ◽  
pp. eabg7488
Author(s):  
Noah A. Rubin ◽  
Aun Zaidi ◽  
Ahmed H. Dorrah ◽  
Zhujun Shi ◽  
Federico Capasso
Keyword(s):  
Simple Procedure ◽  
Jones Matrix ◽  
Mathematical Framework ◽  
Polarization Analysis ◽  
Past Work ◽  
Far Fields ◽  
New Class ◽  
Polarization Response ◽  
Parallel Polarization ◽  
Computer Generated Holograms

We propose a new class of computer-generated holograms whose far-fields have designer-specified polarization response. We dub these Jones matrix holograms. We provide a simple procedure for their implementation using form-birefringent metasurfaces. Jones matrix holography generalizes a wide body of past work with a consistent mathematical framework, particularly in the field of metasurfaces, and suggests previously unrealized devices, examples of which are demonstrated here. In particular, we demonstrate holograms whose far-fields implement parallel polarization analysis and custom waveplate-like behavior.

scholarly journals Mathematical framework for detection and quantification of nonclassical correlation

2011 ◽  
Vol 11 (1&2) ◽  
pp. 167-180
Author(s):  
Akira SaiToh ◽  
Robabeh Rahimi ◽  
Mikio Nakahara
Keyword(s):  
Computational Cost ◽  
Mathematical Framework ◽  
Completely Positive ◽  
New Class ◽  
Linear And Nonlinear ◽  
Detection And Quantification

Existing measures of bipartite nonclassical correlation that is typically characterized by nonvanishing nonlocalizable information under the zero-way CLOCC protocol are expensive in computational cost. We define and evaluate economical measures on the basis of a new class of maps, eigenvalue-preserving-but-not-completely-eigenvalue-preserving (EnCE) maps. The class is in analogy to the class of positive-but-not-completely-positive (PnCP) maps that have been commonly used in the entanglement theories. Linear and nonlinear EnCE maps are investigated. We also prove subadditivity of the measures in the form of logarithmic fidelity.

scholarly journals Design criteria of X-wave launchers for millimeter-wave applications

2019 ◽  
Vol 11 (9) ◽  
pp. 939-947
Author(s):  
Walter Fuscaldo ◽  
Santi C. Pavone ◽  
Davide Comite ◽  
Guido Valerio ◽  
Matteo Albani ◽  
...  
Keyword(s):  
Millimeter Wave ◽  
Millimeter Waves ◽  
Bessel Beam ◽  
Operating Conditions ◽  
Mathematical Framework ◽  
Specific Interest ◽  
Small Aperture ◽  
New Class ◽  
Practical Design ◽  
Definition Of

AbstractBessel-beam launchers are promising and established technologies for focusing applications at microwaves. Their use in time-domain leads to the definition of a new class of devices, namely, the X-wave launchers. In this work, we discuss the focusing features of such devices with a specific interest at millimeter waves. The spatial resolutions of such systems are described under a rigorous mathematical framework to derive novel operating conditions for designing X-wave launchers. These criteria might be particularly appealing for specific millimeter-wave applications. In particular, it is shown that an electrically large aperture is not strictly required, as it seemed from previous works. However, the use of an electrically small aperture would demand a considerably wideband capability. The various discussions presented here provide useful information for the design of X-wave launchers. This aspect is finally shown with reference to the practical design of two different X-wave launchers.

scholarly journals Polarization analysis of p̄ produced in pA collisions

2019 ◽  
Vol 199 ◽  
pp. 05013
Author(s):  
D. Grzonka ◽  
D. Alfs ◽  
A. Asaturyan ◽  
M. Carmignotto ◽  
M. Diermaier ◽  
...  
Keyword(s):  
Data Analysis ◽  
Simple Procedure ◽  
Liquid Hydrogen ◽  
Polarization Analysis ◽  
Antiproton Beam ◽  
Additional Measurement ◽  
Liquid Hydrogen Target ◽  
Test Beam ◽  
Hydrogen Target ◽  
The Asymmetry

A quite simple procedure for the generation of a polarized antiproton beam could be worked out if antiprotons are produced with some polarization. In order to investigate this possibility measurements of the polarization of produced antiprotons have been started at a CERN/PS test beam. The polarization will be determined from the asymmetry of the elastic antiproton scattering at a liquid hydrogen target in the CNI region for which the analyzing power is well known. The data are under analysis and an additional measurement is done in 2018. Details on the experiment and the ongoing data analysis will be given.

Design, synthesis, and bioimaging applications of a new class of carborhodamines

The Analyst ◽  
2021 ◽  
Vol 146 (1) ◽  
pp. 64-68
Author(s):  
Xin Lv ◽  
Taihe Han ◽  
Xia Yuan ◽  
Hu Shi ◽  
Wei Guo
Keyword(s):  
Simple Procedure ◽  
Design Synthesis ◽  
New Class

A new class of NIR carborhodamines MCRs was developed by a simple procedure, and based on the dye platform, a new fluorescent 1O2 probe MCR-DMA was constructed.

scholarly journals TANGENT MODELS AS A MATHEMATICAL FRAMEWORK FOR DYNAMIC CALIBRATION

2011 ◽  
Vol 14 (01) ◽  
pp. 107-135 ◽  
Author(s):  
RENÉ CARMONA ◽  
SERGEY NADTOCHIY
Keyword(s):  
Market Model ◽  
Dynamic Calibration ◽  
Mathematical Framework ◽  
Market Models ◽  
Local Volatility ◽  
Call Options ◽  
New Class ◽  
Set Up ◽  
Absence Of Arbitrage

Motivated by the desire to integrate repeated calibration procedures into a single dynamic market model, we introduce the notion of a "tangent model" in an abstract set up, and we show that this new mathematical paradigm accommodates all the recent attempts to study consistency and absence of arbitrage in market models. For the sake of illustration, we concentrate on the case when market quotes provide the prices of European call options for a specific set of strikes and maturities. While reviewing our recent results on dynamic local volatility and tangent Lévy models, we present a theory of tangent models unifying these two approaches and construct a new class of tangent Lévy models, which allows the underlying to have both continuous and pure jump components.

LPCD framework: Analytical tool or psychological model?

2018 ◽  
Vol 41 ◽  
Author(s):  
David Danks
Keyword(s):  
Decision Making ◽  
Analytical Tool ◽  
Mathematical Framework ◽  
Bayesian Decision ◽  
Perceptual Decision Making ◽  
Psychological Model ◽  
Psychological Reality ◽  
Psychological Theories ◽  
Target Article ◽  
Bayesian Decision Making

AbstractThe target article uses a mathematical framework derived from Bayesian decision making to demonstrate suboptimal decision making but then attributes psychological reality to the framework components. Rahnev & Denison's (R&D) positive proposal thus risks ignoring plausible psychological theories that could implement complex perceptual decision making. We must be careful not to slide from success with an analytical tool to the reality of the tool components.

In Situ microscopy of the anodic etching of silicon

1995 ◽  
Vol 53 ◽  
pp. 232-233
Author(s):  
Frances M. Ross ◽  
Peter C. Searson
Keyword(s):  
Composite Structures ◽  
High Surface ◽  
High Surface Area ◽  
Chemical Properties ◽  
Selective Etching ◽  
Silicon On Insulator ◽  
Second Phase ◽  
Porous Layers ◽  
New Class ◽  
Porous Semiconductors

Porous semiconductors represent a relatively new class of materials formed by the selective etching of a single or polycrystalline substrate. Although porous silicon has received considerable attention due to its novel optical properties1, porous layers can be formed in other semiconductors such as GaAs and GaP. These materials are characterised by very high surface area and by electrical, optical and chemical properties that may differ considerably from bulk. The properties depend on the pore morphology, which can be controlled by adjusting the processing conditions and the dopant concentration. A number of novel structures can be fabricated using selective etching. For example, self-supporting membranes can be made by growing pores through a wafer, films with modulated pore structure can be fabricated by varying the applied potential during growth, composite structures can be prepared by depositing a second phase into the pores and silicon-on-insulator structures can be formed by oxidising a buried porous layer. In all these applications the ability to grow nanostructures controllably is critical.

The microtubule associated protein (MAP) tau forms a new class of triple-stranded left-hand helical fibrous protein polymer

1992 ◽  
Vol 50 (1) ◽  
pp. 540-541
Author(s):  
G. C. Ruben ◽  
K. Iqbal ◽  
I. Grundke-Iqbal ◽  
H. Wisniewski ◽  
T. L. Ciardelli ◽  
...  
Keyword(s):  
Axial Ratio ◽  
Normal Structure ◽  
Paired Helical Filaments ◽  
Left Hand ◽  
New Class ◽  
Protein Polymer ◽  
Fibrous Protein ◽  
Protein Map ◽  
Neurotransmitter Transport ◽  
Alzheimer Neurofibrillary Tangles

In neurons, the microtubule associated protein, tau, is found in the axons. Tau stabilizes the microtubules required for neurotransmitter transport to the axonal terminal. Since tau has been found in both Alzheimer neurofibrillary tangles (NFT) and in paired helical filaments (PHF), the study of tau's normal structure had to preceed TEM studies of NFT and PHF. The structure of tau was first studied by ultracentrifugation. This work suggested that it was a rod shaped molecule with an axial ratio of 20:1. More recently, paraciystals of phosphorylated and nonphosphoiylated tau have been reported. Phosphorylated tau was 90-95 nm in length and 3-6 nm in diameter where as nonphosphorylated tau was 69-75 nm in length. A shorter length of 30 nm was reported for undamaged tau indicating that it is an extremely flexible molecule. Tau was also studied in relation to microtubules, and its length was found to be 56.1±14.1 nm.

Study of segregation in La1.8Sr0.2CuO4 superconductor by STEM-EDS microanalysis

1987 ◽  
Vol 45 ◽  
pp. 54-55
Author(s):  
T. F. Kelly ◽  
P. J. Lee ◽  
E. E. Hellstrom ◽  
D. C. Larbalestier
Keyword(s):  
Rare Earth ◽  
High Field ◽  
Transport Current ◽  
Total Thickness ◽  
New Class ◽  
Ceramic Superconductors ◽  
Current Densities ◽  
Group Ii ◽  
Eds Microanalysis

Recently there has been much excitement over a new class of high Tc (>30 K) ceramic superconductors of the form A1-xBxCuO4-x, where A is a rare earth and B is from Group II. Unfortunately these materials have only been able to support small transport current densities 1-10 A/cm2. It is very desirable to increase these values by 2 to 3 orders of magnitude for useful high field applications. The reason for these small transport currents is as yet unknown. Evidence has, however, been presented for superconducting clusters on a 50-100 nm scale and on a 1-3 μm scale. We therefore planned a detailed TEM and STEM microanalysis study in order to see whether any evidence for the clusters could be seen.A La1.8Sr0.2Cu04 pellet was cut into 1 mm thick slices from which 3 mm discs were cut. The discs were subsequently mechanically ground to 100 μm total thickness and dimpled to 20 μm thickness at the center.

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