Redshift drift in radially inhomogeneous Lemaître-Tolman-Bondi spacetimes

Romain Codur; Christian Marinoni

doi:10.1103/physrevd.104.123531

Redshift drift in radially inhomogeneous Lemaître-Tolman-Bondi spacetimes

Physical Review D ◽

10.1103/physrevd.104.123531 ◽

2021 ◽

Vol 104 (12) ◽

Author(s):

Romain Codur ◽

Christian Marinoni

Keyword(s):

Redshift Drift ◽

Radially Inhomogeneous

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A SEMI-ANALYTICAL METHOD FOR SOLVING PROBLEMS OF ELECTROMAGNETIC WAVE DIFFRACTION BY CIRCULAR RADIALLY-INHOMOGENEOUS MAGNETODIELECTRIC CYLINDERS

Telecommunications and Radio Engineering ◽

10.1615/telecomradeng.v76.i1.10 ◽

2017 ◽

Vol 76 (1) ◽

pp. 1-18

Author(s):

A. V. Brovenko ◽

P. N. Melezhik ◽

S. B. Panin ◽

A. Ye. Poyedinchuk

Keyword(s):

Electromagnetic Wave ◽

Wave Diffraction ◽

Analytical Method ◽

Electromagnetic Wave Diffraction ◽

Radially Inhomogeneous

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Mode uncoupling in oblique scattering from radially inhomogeneous cylinders

Electronics Letters ◽

10.1049/el:19670311 ◽

1967 ◽

Vol 3 (9) ◽

pp. 400 ◽

Cited By ~ 2

Author(s):

P.L.E. Uslenghi

Keyword(s):

Radially Inhomogeneous

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Full-Vectorial Polynomial Modal Method for Circular Waveguides with Application to Reflection and Diffraction at the End of Radially Inhomogeneous Cylinders : Invited Paper

2020 IEEE Ukrainian Microwave Week (UkrMW) ◽

10.1109/ukrmw49653.2020.9252805 ◽

2020 ◽

Author(s):

Gerard Granet ◽

Kofi Edee ◽

Hyshem Hyani

Keyword(s):

Circular Waveguides ◽

Radially Inhomogeneous ◽

Modal Method

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On the reconstruction of material properties of a radially inhomogeneous cylindrical waveguide

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7067 ◽

2021 ◽

Author(s):

Alexandr Ovanesovich Vatulyan ◽

Victor Olegovich Yurov

Keyword(s):

Material Properties ◽

Cylindrical Waveguide ◽

Radially Inhomogeneous

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Rainbow refractometry applied to radially inhomogeneous spheres: the critical case of evaporating droplets

Applied Optics ◽

10.1364/ao.37.003227 ◽

1998 ◽

Vol 37 (15) ◽

pp. 3227 ◽

Cited By ~ 37

Author(s):

Patrizio Massoli

Keyword(s):

Critical Case ◽

Radially Inhomogeneous ◽

Rainbow Refractometry

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SEM approach to transient scattering by a lossy, radially inhomogeneous dielectric circular cylinder

Wave Motion ◽

10.1016/0165-2125(86)90005-3 ◽

1986 ◽

Vol 8 (1) ◽

pp. 43-63 ◽

Cited By ~ 10

Author(s):

Anton G. Tijhuis ◽

Raphic M. van der Weiden

Keyword(s):

Circular Cylinder ◽

Inhomogeneous Dielectric ◽

Transient Scattering ◽

Radially Inhomogeneous

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Exact Solution for the Torsional Vibration of an Elastic Pile in a Radially Inhomogeneous Saturated Soil

Journal of Mathematics ◽

10.1155/2021/6644057 ◽

2021 ◽

Vol 2021 ◽

pp. 1-12

Author(s):

Xibin Li ◽

Zhiqing Zhang ◽

Jianchao Sheng

Keyword(s):

Exact Solution ◽

Torsional Vibration ◽

Saturated Soil ◽

Exponential Form ◽

Soil System ◽

Time Harmonic ◽

Radial Inhomogeneity ◽

Inner Region ◽

Radially Inhomogeneous ◽

Mathematical Derivation

An exact solution is proposed to study the time-harmonic torsional vibration of an elastic pile embedded in a radially inhomogeneous saturated soil. The radially inhomogeneous saturated soil is composed of inner disturbed and outer semi-infinite undisturbed concentric annular regions, with the shear modulus of the inner region changing in an exponential form along the radial direction. The governing equation of each region of the saturated soil is solved through rigorous mathematical derivation and the soil torsional impedance is derived with an exact and explicit expression. Making use of the boundary and continuity conditions of the pile-soil system, the torsional complex stiffness at the pile top is obtained in an exact closed form in the frequency domain. Selected numerical results are presented to investigate the influence of the radial inhomogeneity of the surrounding soil on the vibration characteristics of the pile-soil system.

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