Results 91 to 100 of about 497,921 (244)

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

Single‐Lens Counter‐Focused Ultrashort Laser Pulses for Enhanced Microplasma Formation Inside Silicon

Laser &Photonics Reviews, EarlyView.
A polarization‐dependent liquid–crystal spatial light modulator is used to generate coaxial double‐focus laser beams with independently tunable focal separation and intensity. Applied to silicon, this configuration enables counterpropagating pulse interactions using a single focusing element, enhancing nonlinear excitation and achieving near‐critical ...
Niladri Ganguly, David Grojo, Pol Sopeña   +2 more
wiley   +1 more source

Calderón’s reproducing Formula For q-Bessel operator [PDF]

Cubo (Temuco), 2015
Summary: In this paper a Calderón-type reproducing formula for \(q\)-Bessel convolution is established using the theory of \(q\)-Bessel Fourier transform, obtained in quantum calculus.
openaire   +2 more sources

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

Sobolev Type Spaces Associated with Bessel Operators

Journal of Mathematical Analysis and Applications, 1997
Replacing the Fourier transform on \(\mathbb{R}\) by the Hankel transform \(T\to h_\mu T\) on \((0,\infty)\), where \(\mu\in\mathbb{R}\), the authors introduce related (fractional) Sobolev spaces \(G^{s,p}_\mu\), where \(s\in\mathbb{R}\), \(1\leq ...
Pathak, Ram S., Pandey, Pradip K.
openaire   +2 more sources

Kipriyanov-Katrakhov singular pseudodifferential operators

Современная математика: Фундаментальные направления
Singular pseudodifferential operators created on the base of the mixed Fourier–Bessel transform are usually called Kipriyanov singular pseudodifferential operators (SPDO). The paper provides an overview of three types of such operators.
L. N. Lyakhov, Yu. N. Bulatov, S. A. Roschupkin   +2 more
doaj   +1 more source

Motion‐Robust Approach for 4D Cardiac Cine Using 2D Real‐Time Acquisitions and Slice‐to‐Volume Reconstruction

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose 4D cardiac cine is a powerful tool for comprehensive cardiac function assessment; however, current methods rely on regular breathing and are sensitive to bulk motion and arrhythmia. We aim to develop a 4D cardiac cine approach that requires no patient cooperation and is robust to irregular breathing, bulk motion, and cardiac arrhythmia.
Ye Tian, Anand A. Joshi, Jon A. Detterich, John C. Wood, Krishna S. Nayak   +4 more
wiley   +1 more source

Boundedness of Integral Operator of Generalized Bessel–Riesz Kernel in Variable Exponent Function Spaces

Mathematics
In this manuscript, we introduce a class of measurable functions A(R+), which is utilized to construct a generalized Bessel–Riesz kernel and the corresponding generalized Bessel–Riesz operator.
Ali Raza, Fehaid Salem Alshammari, Muhammad Nasir   +2 more
doaj   +1 more source

Regional analysis of spatiotemporal trends in Colorado potato beetle abundance

Pest Management Science, EarlyView.
Leveraging a large data set on Colorado potato beetles in Wisconsin, we examine spatial and temporal abundance trends. Spatiotemporal statistical models substantially improve fit and show that climate and management factors are positively associated with abundance levels.
Nursultan Azhimuratov, Russell L. Groves, Juan Francisco Mandujano Reyes, Jun Zhu, Sean D. Schoville   +4 more
wiley   +1 more source

Mellin convolution operators in Bessel potential spaces

Journal of Mathematical Analysis and Applications, 2016
Mellin convolution equations acting in Bessel potential spaces are considered. The study is based upon two results. The first one concerns the interaction of Mellin convolutions and Bessel potential operators (BPOs). In contrast to the Fourier convolutions, BPOs and Mellin convolutions do not commute and we derive an explicit formula for the ...
Victor D. Didenko, Roland Duduchava
openaire   +2 more sources