Results 71 to 80 of about 5,978 (203)
Legendre Wavelets with Scaling in Time-delay Systems
This research presents the integration, product, delay and inverse time operational matrices of Legendre wavelets with an arbitrary scaling parameter and illustrates how to design this parameter in order to improve their accuracy and capability in handling optimal control and analysis of time-delay systems.
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Mechanically reconfigurable metasurfaces enable high‐capacity optical storage and holography due to low cost/complexity. A differentiable inverse design framework maps meta‐atom geometries to multichannel optical responses via deep neural networks. Rotatable cascaded metasurfaces optimized through this pipeline achieve pixel‐level holography with 288 ...
Ting Ma +4 more
wiley +1 more source
The understanding of the target radar cross section (RCS) is significant for target identification and for radar designing and optimization. In this paper, a numerical algorithm for calculating target RCS is presented which is based on Legendre wavelet ...
Yongqiang Yang, Yunpeng Ma, Lifeng Wang
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Spectroscopy and Conformer‐Selective Photoelectron Circular Dichroism of Chiral Molecules
Photoelectron circular dichroism (PECD) is a forward–backward asymmetry in the angular distribution of the electrons emitted by a chiral molecule ionized by a circularly polarized light (CPL). Its sensitivity to conformation is studied by one‐photon or resonance‐enhanced two‐photon ionization, the latter being conformer‐selective.
Laurent Nahon, Anne Zehnacker
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Spatiospectral concentration in the Cartesian plane
We pose and solve the analogue of Slepian's time-frequency concentration problem in the two-dimensional plane, for applications in the natural sciences.
Simons, Frederik J., Wang, Dong V.
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Application of Legendre wavelets for solving fractional differential equations
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jafari, H. +4 more
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SOLUTION OF HIGHER ORDER VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS BY LEGENDRE WAVELETS [PDF]
The numerical solution of \(m\)th-order nonlinear Volterra integro-differential equations with two-point boundary conditions is obtained by using a collocation method based on the Legendre wavelets. The collocation points are the zeros of the Chebyshev polynomials and the Gaussian integration formula is applied.
Chandel, Raghvendra S. +2 more
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Studying interspecific population synchrony: current status and future perspectives
Interspecific population synchrony, or co‐fluctuations in the population dynamics and demographic parameters of different species, is an important ecological phenomenon with major implications for the stability of communities and ecosystems. It is also central in the context of biodiversity loss, as interspecific synchrony can influence how ecological ...
Ragnhild Bjørkås +3 more
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Fourier Eigenfunctions, Uncertainty Gabor Principle and Isoresolution Wavelets [PDF]
Shape-invariant signals under Fourier transform are investigated leading to a class of eigenfunctions for the Fourier operator. The classical uncertainty Gabor-Heisenberg principle is revisited and the concept of isoresolution in joint time-frequency ...
H. M. De Oliveira +4 more
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Forward and Adjoint Calculations of Gravitational Potential in Heterogeneous, Aspherical Planets
Abstract We have developed a computational package for the calculation of numerically exact internal and external gravitational potential, its functional derivatives and sensitivity kernels, in an aspherical, heterogeneous planet. We detail our implementation, utilizing a transformation of the Poisson equation into a spherical reference domain, as well
Alex D. C. Myhill +2 more
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