Results 141 to 150 of about 47,854 (237)

Ray Tracing Method in a General Non‐Dipole Magnetic Field

Journal of Geophysical Research: Space Physics, Volume 131, Issue 8, August 2026.
Abstract We present a new general mathematical formulation of the Eikonal equations for ray tracing, which can use any internal magnetic field model. The analytical and tractable expressions are conveniently based on a vector formalism, which is independent of any coordinate system.
P.‐L. Blelly, J.‐F. Ripoll, A. Dubois, R. B. Horne, A. Marchaudon   +4 more
wiley   +1 more source

The Wells–Riley Model Revisited II: Parameter Uncertainty and Population Heterogeneity

Risk Analysis, Volume 46, Issue 8, August 2026.
ABSTRACT In this work, we revisit the Wells–Riley model, which has been widely used to estimate airborne infection risk in indoor settings. In particular, we consider a probabilistic (i.e., “stochastic”) framework of the Wells–Riley model which allows one to quantify infection risk in terms of the per‐capita probability of infection for each ...
Marcus Marshall, Alexander J. Edwards, Dominique Pinnell, Marco‐Felipe King, Catherine J. Noakes, Nazif Elaldi, Grant Lythe, Martín López‐García   +7 more
wiley   +1 more source

Bessel functions [PDF]

, 1999
This thesis is consists of four chapters. In the first chapter, Bessel equation is obtained through the cylindrical coordinates of Laplace equation. In addition, Bessel functions which are the solutions of Bessel equation and their properties are studied.
Uygun, Nihan
core  

Evaporation and Cold Pools Beneath Trade Cumulus Clouds

Journal of Geophysical Research: Atmospheres, Volume 131, Issue 13, 16 July 2026.
Abstract The sources of air and water vapor in the tropical trade‐wind Atlantic subcloud boundary layer (SBL) are analyzed using in situ measurements of temperature, specific humidity, and stable water isotopologues (HDO and H218O) from shipboard observations in January‐February 2020.
Estefanía Quiñones Meléndez, Simon P. de Szoeke, Peter N. Blossey, David Noone, Mampi Sarkar, Adriana Bailey, Alton P. Daley   +6 more
wiley   +1 more source

₃F₄ Hypergeometric Functions as a Sum of a Product of ₁F₂ Functions

Mathematics
This paper shows that certain F43 hypergeometric functions can be expanded in sums of pair products of F21 functions. In special cases, the F43 hypergeometric functions reduce to F32 functions.
Jack C. Straton
doaj   +1 more source

Overcoming Computational Bottlenecks in Quantum Hydrodynamics: A Volume‐Based Integral Formalism for Spherical Nanoparticles

Nanophotonics, Volume 15, Issue 13, 13 July 2026.
Numerical modeling of mesoscopic material response models that capture the quantum dynamics of electrons does not have to come with discouraging computational bottlenecks. The main message is that through a shift in perspective in modeling toward integral equation methods and exploiting symmetry‐based arguments, it is possible to capture complicated ...
Christos Mystilidis, Christos Tserkezis, Guy A. E. Vandenbosch, N. Asger Mortensen, Xuezhi Zheng   +4 more
wiley   +1 more source

Photonic Doping of Epsilon‐Near‐Zero Bragg Microcavities

Nanophotonics, Volume 15, Issue 13, 13 July 2026.
Photonic doping of an epsilon‐near‐zero (ENZ) Bragg microcavity at optical frequencies induces strong magnetic responses from dielectric inclusions, enabling intense field localization, Purcell enhancement, and tunable hybrid Bragg–Mie modes. The platform supports perfect magnetic conductor and epsilon‐and‐mu‐near‐zero regimes, offering opportunities ...
Ali Panahpour, Jussi Kelavuori, Mikko Huttunen   +2 more
wiley   +1 more source

Advancements in q-Hankel Transforms Based on Certain Approach of Big q-Bessel Functions and Applications [PDF]

This study presents a novel variant of a finite q-Hankel transform derived from big q-Bessel functions and investigates its analytical structure, with particular emphasis on the distribution and properties of its zeros.
Rajagopalan Ramaswamy, Ola A. Ashour, Karima M. Oraby   +2 more
core   +1 more source

New Perspectives of Hermite–Hadamard–Mercer-Type Inequalities Associated with ψ_k-Raina’s Fractional Integrals for Differentiable Convex Functions

Fractal and Fractional
Starting from ψk-Raina’s fractional integrals (ψk-RFIs), the study obtains a new generalization of the Hermite–Hadamard–Mercer (H-H-M) inequality. Several trapezoid-type inequalities are constructed for functions whose derivatives of orders 1 and 2, in ...
Talib Hussain, Loredana Ciurdariu, Eugenia Grecu   +2 more
doaj   +1 more source

Enantioselective Separation and Negative Transport of Chiral Particles via Optical Needle Fields

Nanophotonics, Volume 15, Issue 13, 13 July 2026.
This work proposes an all‐optical strategy that leverages a tailored optical needle field for the enantioselective separation and 3D manipulation of chiral particles. By introducing phase modulation, we engineer a dual‐needle configuration capable of spatially separating and negatively transporting both enantiomers within a single system, offering a ...
Manman Li, Xu Chen, Shaohui Yan, Qiang Zhang, Wenyu Gao, Yuan Zhou, Xiaohao Xu, Baoli Yao   +7 more
wiley   +1 more source