Asymptotic Solutions for High Frequency Helmholtz Equations in Anisotropic Media with Hankel Functions
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-019-00957-8
Abstract: We present asymptotic methods for solving high frequency Helmholtz equations in anisotropic media. The methods are motivated by Babich’s expansion that uses Hankel functions of the first kind to approximate the solution of high frequency… read more here.
Keywords: helmholtz equations; frequency helmholtz; high frequency; anisotropic media ... See more keywords
An isogeometric framework for the modeling of curvilinear anisotropic media
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DOI: 10.1016/j.compstruct.2021.113771
Abstract: Abstract The advent of multi-material additive manufacturing and automated composite manufacturing has enabled the design of structures featuring complex curvilinear anisotropy. To take advantage of the new design space, efficient computational approaches are quintessential. In… read more here.
Keywords: curvilinear anisotropic; modeling curvilinear; framework modeling; isogeometric framework ... See more keywords
A novel 2.5D finite difference scheme for simulations of resistivity logging in anisotropic media
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Geophysics"
DOI: 10.1016/j.jappgeo.2018.01.021
Abstract: Abstract The objective of this study is to develop a method to model 3D resistivity well logging problems in 2D formation with anisotropy, known as 2.5D modeling. The traditional 1D forward modeling extensively used in… read more here.
Keywords: resistivity; fdm; anisotropic media; scheme ... See more keywords
Solutions to the generalized Eshelby conjecture for anisotropic media: Proofs of the weak version and counter-examples to the high-order and the strong versions
Sign Up to like & getrecommendations! Published in 2022 at "Journal of the Mechanics and Physics of Solids"
DOI: 10.1016/j.jmps.2021.104648
Abstract: The Eshelby formalism for an inclusion in a solid is of significant theoretical and practical implications in mechanics and other fields of heterogeneous media. Eshelby’s finding that a uniform eigenstrain prescribed in a solitary ellipsoidal… read more here.
Keywords: conjecture; anisotropic media; weak version; eshelby conjecture ... See more keywords
The optical properties of quantum dots in anisotropic media
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DOI: 10.1016/j.molliq.2017.06.094
Abstract: Abstract The optical properties of cadmium selenide quantum dots were investigated in the nematic liquid crystals, which were used as an anisotropic medium. The effects of anisotropic media on the optical properties of immersed quantum… read more here.
Keywords: media optical; anisotropic media; optical properties; properties quantum ... See more keywords
Spectral properties of exterior transmission problem for spherically stratified anisotropic media
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DOI: 10.1080/00036811.2019.1659956
Abstract: ABSTRACT The exterior transmission eigenvalue problem for anisotropic media with spherical symmetry assumptions is considered. First, we discuss the existence and the asymptotic distribution of exterior transmission eigenvalues. Then, we investigate the inverse problem of… read more here.
Keywords: spectral properties; transmission; anisotropic media; properties exterior ... See more keywords
Acoustic wave propagation in anisotropic media with applications to piezoelectric materials
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DOI: 10.1080/00036811.2020.1767286
Abstract: In this paper, we analyze acoustic wave propagation in anisotropic fluids and solids. By formulating the acoustic system as an evolution equation over a Hilbert space, we obtain global in time solu... read more here.
Keywords: acoustic wave; propagation anisotropic; anisotropic media; wave propagation ... See more keywords
Propagation of electromagnetic waves in stationary anisotropic media
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DOI: 10.1088/1402-4896/abfe87
Abstract: In this paper we have investigated the fundamental properties of the solutions of Maxwell’s equations describing free electromagnetic waves in stationary anisotropic media, with tensor characteristics along the Z axis. A matrix of coefficients, the… read more here.
Keywords: anisotropic media; propagation electromagnetic; stationary anisotropic; electromagnetic waves ... See more keywords
Single-Point Dispersion Measurement of Surface Waves Combining Translation, Rotation and Strain in Weakly Anisotropic Media: Theory
Sign Up to like & getrecommendations! Published in 2023 at "Geophysical Journal International"
DOI: 10.1093/gji/ggad199
Abstract: A new approach is proposed for measuring the dispersion relation of surface waves in weakly anisotropic media using a single station, which consists of translational displacement and rotation or strain. The azimuth-dependent surface wave dispersion… read more here.
Keywords: dispersion; surface; rotation strain; anisotropic media ... See more keywords
Traveltime approximation for strongly anisotropic media using the homotopy analysis method
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DOI: 10.1093/gji/ggy524
Abstract: S U M M A R Y Traveltime approximation plays an important role in seismic data processing, for example, anisotropic parameter estimation and seismic imaging. By exploiting seismic traveltimes, it is possible to improve the… read more here.
Keywords: anisotropic media; method; equation; homotopy analysis ... See more keywords
Dispersion Analysis of Periodic Structures in Anisotropic Media: Application to Liquid Crystals
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DOI: 10.1109/tap.2021.3137208
Abstract: This article presents an efficient method to compute the dispersion diagram of periodic and uniform structures with generic anisotropic media. The method takes advantage of the ability of full-wave commercial simulators to deal with finite… read more here.
Keywords: dispersion; liquid crystals; structures anisotropic; anisotropic media ... See more keywords