Results 161 to 170 of about 12,103,103 (313)

Generating Helical Polymorphic Beams Using Dielectric Metasurfaces

Laser &Photonics Reviews, EarlyView.
Helix‐shaped polymorphic beams are optical fields whose intensity maxima spiral around the propagation axis, enabling particle manipulation through attractive or repulsive forces. Traditionally requiring expensive spatial light modulators, metasurfaces now provide a compact, cost‐effective alternative. This work demonstrates general helical polymorphic
Maryam Setareh, Yang Xu, Jose A. Rodrigo, Kenneth B. Crozier   +3 more
wiley   +1 more source

Pseudo-Bessel functions in the description of random motions [PDF]

, 2001
We study the families of Pseudo--Bessel functions and their applications in the description of certain one--dimensional and two--dimensional random motions characterized respectively by two and three alternating ...
DI CRESCENZO, Antonio, Clemente Cesarano
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Atmospheric Corrosion Protection of LPBF Manufactured AlSi10Mg by Combining SiOx‐CVD and PDMS Grafting

Materials and Corrosion, EarlyView.
Hybrid SiOₓ‐CVD/PDMS ultrathin films mitigate atmospheric corrosion of additively manufactured AlSi10Mg. Electrochemical analyses show reduced corrosion currents, increased charge‐transfer resistance, and suppressed pitting due to diminished cathodic activity and limited oxygen and ion transport under NaCl exposure.
Tim Prüßner, Kay‐Peter Hoyer, Nadine Buitkamp, Guido Grundmeier   +3 more
wiley   +1 more source

Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary

Mathematische Nachrichten, EarlyView.
ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
wiley   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Remarks on the Maximal Regularity for Parabolic Boundary Value Problems With Inhomogeneous Data

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Inspired by Ogawa‐Shimizu and Chen‐Liang‐Tsai on the second and first order derivative estimates of solutions of the heat equation in the upper half space with boundary data in homogeneous Besov spaces, we extend the estimates to any order of derivatives, including fractional derivatives.
Hui Chen, Su Liang, Tai‐Peng Tsai
wiley   +1 more source

Effective Modeling of Continuous Wave Z$$ Z $$‐Spectra for Quantitative CEST and CESL MRI Across Exchange Regimes

Magnetic Resonance in Medicine, EarlyView.
Purpose Chemical exchange saturation transfer (CEST) and chemical exchange‐sensitive spin‐lock (CESL) MRI enable spectroscopic imaging with high sensitivity, but conventional analysis methods often fail as exchange approaches the fast‐exchange limit.
Chris Lippe, Verena Hoerr
wiley   +1 more source

Some expansions associated with Bessel functions [PDF]

, 1935
An Expansion for the Product of Two Bessel Functions.-1.1. An expansion for the product of two Bessel functions obtained by one of us(1) led to the discovery of a different expansion for the said product multiplied by the leading terms in the power ...
Rice, S. O., Bateman, H.
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Quantifying Skin Sodium Concentration With Novel Very Rapid Biexponential T2 Relaxometry and Signal Loss Compensation Methodology

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To accurately measure skin tissue sodium concentration (TSC) through development of spin‐3/2 relaxometry methodology that also considers blood sodium. Methods Mxy generation during RF excitation is substantially reduced by very rapid T2f.
Gurparkash Singh, Christian Beaulieu, Rob Stobbe   +2 more
wiley   +1 more source

Bessel Functions and Their Applications [PDF]

, 2010
It is the aim of this paper to discover the roles played by Bessel functions in a variety of mathematical fields. It was found that Bessel functions attribute to the theories of spherical harmonics, transformations, as well as partial differential ...
DeJarnette, Drew
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