Results 71 to 80 of about 5,719 (203)
Laser &Photonics Reviews, EarlyView.A picopatch in a plasmonic nanocavity confines the electromagnetic energy to tiny effective volumes, close to 1nm3, leading to extreme electric field enhancements. Furthermore, a clear signature of strong coupling between the picopatch modes and other modes of the structure is obtained, which strongly modifies the far‐field response. ABSTRACT Plasmonic
Jinna He +6 more
wiley +1 more source
Some special functions and cylindrical diffusion equation on α-time scale
Demonstratio MathematicaThis article is dedicated to present various concepts on α\alpha -time scale, including power series, Taylor series, binomial series, exponential function, gamma function, and Bessel functions of the first kind.
Silindir Burcu +3 more
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Integral Involving Bessel Functions Arising in Propagation Phenomena
Mathematics, 2019 An new integral identity involving the product of two modified Bessel functions K 0 and K 1 , previously unreported, is presented and proved.
Yuri L. Ratis +3 more
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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 +2 more
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Geometric Nature of the Turánian of Modified Bessel Function of the First Kind
AxiomsThis work explores the geometric properties of the Turanian of the modified Bessel function of the first kind (TMBF). Using the properties of the digamma function, we establish conditions under which the normalized TMBF satisfies starlikeness, convexity,
Samanway Sarkar +3 more
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Natural vibrations of thick circular plate based on the modified Mindlin theory
Archives of Mechanics, 2014 Outline of the modified Mindlin theory is presented in which the Mindlin mathematical model with three differential equations of motion for total deflection and rotations is decomposed into a single equation for pure bending vibrations with transverse ...
I. Senjanovic +3 more
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Macromolecular Rapid Communications, EarlyView.The cononsolvency of poly(dimethyl acrylamide‐co‐hydroxyethyl acrylamide) copolymers in water‐acetonitrile mixtures enables the synthesis of hydrogels with finely tuned porosity. Optimized for droplet‐based microfluidics, this approach facilitates the fabrication of porous microgels with tunable mechanical and diffusion properties, offering precise ...
Maria I. Pieper +4 more
wiley +1 more source
A distribution associated with the Kontorovich-Lebedev transform [PDF]
Opuscula Mathematica, 2006 We show that in a sense of distributions \[\lim_{\varepsilon\to 0+} {1\over \pi^2} \tau\sinh\pi\tau \int_{\varepsilon}^{\infty} K_{i\tau}(y)K_{ix}(y){dy\over y} =\delta(\tau-x),\] where \(\delta\) is the Dirac distribution, \(\tau\), \(x\in\mathbb{R ...
Semyon B. Yakubovich
doaj
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 +2 more
wiley +1 more source
Journal of Inequalities and ApplicationsIn the present work we establish for the first time a class of ( P , m ) $(P,\mathrm{m})$ -superquadratic functions and look into its features. Using them, we come up with the Jensen and Hermite–Hadamard inequalities, as well as the fractional versions ...
Dawood Khan +2 more
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