Perturbation analysis of plane-wave transmission through a dielectric slab with Kerr-type nonlinearity

We study wave propagation in the low-β coronal plasma using a collisionless multi-fluid model. Neglecting the electron inertia, this model allows us to take into account ion-cyclotron wave effects that are absent in the magnetohydrodynamics model. To accomplish this, we perform a Fourier plane-wave perturbation analysis. Solving numerically the dispersion relations obtained from a two- and three-fluid model, dispersion curves for representative parameters of the solar corona are presented. The results reveal the presence of resonance frequencies that might play a role in coronal heating.

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Acoustic analysis of plane‐wave transmission through a duct of a thick wall

The Journal of the Acoustical Society of America ◽

10.1121/1.417592 ◽

1996 ◽

Vol 100 (4) ◽

pp. 2596-2596 ◽

Cited By ~ 1

Author(s):

Ryoichi Sato ◽

Hiroshi Shirai

Keyword(s):

Plane Wave ◽

Acoustic Analysis ◽

Wave Transmission ◽

Thick Wall

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ANALYSIS OF HIGH FREQUENCY PLANE WAVE TRANSMISSION INTO A DOUBLE NEGATIVE CYLINDER BY THE MODIFIED WATSON TRANSFORMATION AND DEBYE SERIES EXPANSION: FIRST TERM OF THE DEBYE SERIES

Progress In Electromagnetics Research ◽

10.2528/pier10121602 ◽

2011 ◽

Vol 112 ◽

pp. 397-414

Author(s):

Saffet Gokcen Sen

Keyword(s):

Plane Wave ◽

Series Expansion ◽

High Frequency ◽

Wave Transmission ◽

Double Negative ◽

Watson Transformation ◽

Debye Series

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Reductive perturbation analysis of short pulse propagation in a nonlinear dielectric slab: the role of material dispersion in bright-to-dark solution transitions

IEEE Journal of Quantum Electronics ◽

10.1109/3.199270 ◽

1993 ◽

Vol 29 (1) ◽

pp. 286-295 ◽

Cited By ~ 5

Author(s):

K. Hizanidis ◽

D.J. Frantzeskakis

Keyword(s):

Perturbation Analysis ◽

Pulse Propagation ◽

Short Pulse ◽

Dielectric Slab ◽

Material Dispersion ◽

Nonlinear Dielectric ◽

Reductive Perturbation

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Modified Propagation Constants for Nonuniform Plane Wave Transmission through Conducting Media

IEEE Transactions on Geoscience and Remote Sensing ◽

10.1109/tgrs.1982.350463 ◽

1982 ◽

Vol GE-20 (3) ◽

pp. 408-411 ◽

Cited By ~ 19

Author(s):

Roger D. Radcliff ◽

Constantine A. Balanis

Keyword(s):

Plane Wave ◽

Wave Transmission

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Fast Super-Resolution Ultrasound Imaging With Compressed Sensing Reconstruction Method and Single Plane Wave Transmission

IEEE Access ◽

10.1109/access.2018.2853194 ◽

2018 ◽

Vol 6 ◽

pp. 39298-39306 ◽

Cited By ~ 5

Author(s):

Yuexia Shu ◽

Changpeng Han ◽

Minglei Lv ◽

Xin Liu

Keyword(s):

Compressed Sensing ◽

Plane Wave ◽

Ultrasound Imaging ◽

Super Resolution ◽

Wave Transmission ◽

Reconstruction Method ◽

Single Plane

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Asymptotic expansions for Wiener–Hopf equations

Analysis and Applications ◽

10.1142/s0219530520500207 ◽

2020 ◽

pp. 1-34

Author(s):

Kui Li ◽

Roderick Wong

Keyword(s):

Probability Theory ◽

Plane Wave ◽

Sound Wave ◽

Asymptotic Expansions ◽

Material Science ◽

Transport Theory ◽

Wave Transmission ◽

Hilbert Transforms ◽

Renewal Equations ◽

Physical Problems

Wiener–Hopf Equations are of the form [Formula: see text] These equations arise in many physical problems such as radiative transport theory, reflection of an electromagnetive plane wave, sound wave transmission from a tube, and in material science. They are also known as the renewal equations on the half-line in Probability Theory. In this paper, we present a method of deriving asymptotic expansions for the solutions to these equations. Our method makes use of the Wiener–Hopf technique as well as the asymptotic expansions of Stieltjes and Hilbert transforms.

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