Fiber Bragg Gratings with Micro‐Engineered Temperature Coefficients
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+8 more
wiley +1 more source
ESTIMATES FOR THE SECOND HANKEL–CLIFFORD TRANSFORM AND TITCHMARSH EQUIVALENCE THEOREM
We obtain estimates of integrals containing the second Hankel–Clifford transforms of functions from Sobolev-Hankel– Clifford spaces. As a corollary, we obtain a new variant of Titchmarsh equivalence theorem for the second Hankel–Clifford transform.
S. S. Volosivets
doaj +1 more source
Multivariate and 2D Extensions of Singular Spectrum Analysis with the Rssa Package
Implementation of multivariate and 2D extensions of singular spectrum analysis (SSA) by means of the R package Rssa is considered. The extensions include MSSA for simultaneous analysis and forecasting of several time series and 2D-SSA for analysis of ...
Nina Golyandina+3 more
doaj +1 more source
Hankel Transform of the Type 2 (p,q)-Analogue of r-Dowling Numbers
In this paper, type 2 (p,q)-analogues of the r-Whitney numbers of the second kind is defined and a combinatorial interpretation in the context of the A-tableaux is given. Moreover, some convolution-type identities, which are useful in deriving the Hankel
Roberto Corcino+2 more
doaj +1 more source
Spin‐Orbit Photonics with Potato Starch Lenses
Native potato starch spherulites are introduced as volumetric optical elements that modulate both dynamic and geometric phases of light. These spherulites focus light and generate optical vortices via spin‐orbit interaction, functioning as polarization‐sensitive microlenses. Their unique radial anisotropy enables applications in vortex beam generation,
Petr Bouchal+4 more
wiley +1 more source
Uncertainty Principles and Calderón’s Formula for the Multidimensional Hankel-Gabor Transform
The main crux of this paper is to introduce a new integral transform called the multidimensional Hankel-Gabor transform and to give some new results related to this transform as Plancherel’s, Parseval’s, inversion and Calderón’s reproducing formulas ...
Ahmed Chana, Abdellatif Akhlidj
doaj +1 more source
Discrete Tracy--Widom operators. [PDF]
Integrable operators arise in random matrix theory, where they describe the asymptotic eigenvalue distribution of large self-adjoint random matrices from the generalized unitary ensembles.
Blower, Gordon, McCafferty, Andrew
core +1 more source
Low‐Energy Atomic Scattering: S‐Wave Relation Between the Interaction Potential and the Phase Shift
The validity of the on‐shell approximation for s‐wave scattering is examined across one, two, and three dimensions using exactly solvable model interaction potentials. By comparing exact and approximate s‐wave components of the interaction potential, the analysis reveals that the approximation improves with increasing momentum and decreasing ...
Francesco Lorenzi, Luca Salasnich
wiley +1 more source
Analytic representation of the distributional finite Hankel transform
Various representations of finite Hankel transforms of generalized functions are obtained. One of the representations is shown to be the limit of a certain family of regular generalized functions and this limit is interpreted as a process of truncation ...
O. P. Singh, Ram S. Pathak
doaj +1 more source
Computation of a combined spherical-elastic and viscous-half-space earth model for ice sheet simulation [PDF]
This report starts by describing the continuum model used by Lingle & Clark (1985) to approximate the deformation of the earth under changing ice sheet and ocean loads.
Cathles+7 more
core +2 more sources