Results 31 to 40 of about 145,138 (284)

On some integrals of products of cylindrical functions

Физика волновых процессов и радиотехнические системы, 2019
For a number of solutions to problems of a multilayer optical fiber, the field of which in each layer is described by the sum of the corresponding Bessel functions, integrals of the products of these functions are of interest.
V.A. Burdin
doaj   +1 more source

Zeros of Bessel function derivatives

, 2016
We prove that for $\nu>n-1$ all zeros of the $n$th derivative of Bessel function of the first kind $J_{\nu}$ are real and simple. Moreover, we show that the positive zeros of the $n$th and $(n+1)$th derivative of Bessel function of the first kind $J_{\nu}
Baricz, Árpád, Kokologiannaki, Chrysi G., Pogány, Tibor K.   +2 more
core   +1 more source

Spatiotemporal Plasma–Mediated Laser Fabrication of Ultrahigh‐Aspect‐Ratio Nanochannel Arrays for Vertical Perovskite Nanowire Semiconductor Devices

Advanced Functional Materials, EarlyView.
A spatiotemporal plasma–mediated laser processing approach is developed to fabricate ultrahigh–aspect ratio nanochannel arrays and corresponding perovskite nanowire arrays within transparent materials for optoelectronics devices. The laser‐fabricated nanochannels serve as templates for controlled perovskite infiltration and crystallization, enabling ...
Taijin Wang, Lingfeng Wang, Feng Liu, Gary J. Cheng   +3 more
wiley   +1 more source

A Remarkable Identity Involving Bessel Functions

, 2011
We consider a new identity involving integrals and sums of Bessel functions. The identity provides new ways to evaluate integrals of products of two Bessel functions.
Dominici, Diego E., Gill, Peter M. W., Limpanuparb, Taweetham   +2 more
core   +1 more source

Color Routing and Beam Steering of Single‐Molecule Emission with a Spherical Silicon Nanoantenna

Advanced Functional Materials, EarlyView.
We experimentally demonstrate broadband directional emission from single molecules using a single spherical silicon nanoparticle assembled via DNA origami. By varying nanoparticle (NP) size and emitter position, we achieve unidirectional emission, beam steering, and color routing at the nanoscale, revealing modal interference as the underlying ...
María Sanz‐Paz, Nicole Siegel, Guillermo Serrera, Javier González‐Colsa, Fangjia Zhu, Karol Kołątaj, Minoru Fujii, Hiroshi Sugimoto, Pablo Albella, Guillermo P. Acuna   +9 more
wiley   +1 more source

Stable computations of the spherically layered media theory with high lossy media by using scaled Bessel functions

Journal of Electronic Science and Technology
The spherically layered media theory has wide applications for electromagnetic wave scattering analysis. Due to the involved Bessel functions, the conventional formulations of the spherically layered media theory suffer from numerical overflow or ...
Jia-Hui Wang, Bo O. Zhu
doaj   +1 more source

On the zeros of the Macdonald functions [PDF]

Opuscula Mathematica, 2019
We are concerned with the zeros of the Macdonald functions or the modified Bessel functions of the second kind with real index. By using the explicit expressions for the algebraic equations satisfied by the zeros, we describe the behavior of the zeros ...
Yuji Hamana, Hiroyuki Matsumoto, Tomoyuki Shirai   +2 more
doaj   +1 more source

The Ramanujan master theorem and its implications for special functions

, 2011
We study a number of possible extensions of the Ramanujan master theorem, which is formulated here by using methods of Umbral nature. We discuss the implications of the procedure for the theory of special functions, like the derivation of formulae ...
Amdeberhan, Andrews, Appell, Brychkov, D. Babusci, Dattoli, Dattoli, Dattoli, Debnath, G. Dattoli, G.H.E. Duchamp, Hardy, K. Górska, K.A. Penson, Penson, Roman, Tricomi   +16 more
core   +1 more source

Fiber Bragg Gratings with Micro‐Engineered Temperature Coefficients

Advanced Optical Materials, Volume 13, Issue 8, March 13, 2025.
Fiber Bragg gratings (FBGs) are intrinsically responsive to temperature and strain simultaneously. In this research, low‐loss FBGs with micro‐engineered temperature coefficients are fabricated, utilizing refractive index liquid‐filled microchannels in the cladding.
Zipei Song, Mohan Wang, Frank P. Payne, Patrick S. Salter, Tongyu Liu, Steve J. Elston, Martin J. Booth, Stephen M. Morris, Julian A. J. Fells   +8 more
wiley   +1 more source

Olshanski spherical functions for infinite dimensional motion groups of fixed rank [PDF]

, 2012
Consider the Gelfand pairs $(G_p,K_p):=(M_{p,q} \rtimes U_p,U_p)$ associated with motion groups over the fields $\mathbb F=\mathbb R,\mathbb C,\mathbb H$ with $p\geq q$ and fixed $q$ as well as the inductive limit $p\to\infty$,the Olshanski spherical ...
Rösler, Margit, Voit, Michael
core