Scattering by a radially inhomogeneous cylindrical dielectric shell due to an incident Gaussian beam

1989 ◽  
Vol 67 (5) ◽  
pp. 471-475 ◽  
Author(s):  
T. C. K. Rao
Keyword(s):  
Gaussian Beam ◽  
Weighting Function ◽  
Incident Beam ◽  
Transverse Magnetic ◽  
Scattering Coefficient ◽  
Physical Parameters ◽  
Scattered Power ◽  
Dielectric Shell ◽  
Radially Inhomogeneous ◽  
Incident Gaussian Beam

The problem of scattering by a radially inhomogeneous cylindrical dielectric shell due to an incident Gaussian beam is solved by a boundary-value procedure after first adapting a simplification proposed by Kozaki. The scattering coefficient is expressed as a product of the scattering coefficient due to an incident plane wave and a weighting function. Both transverse magnetic and transverse electric polarizations of the incident beam source are considered, and some representative numerical results of the scattered power pattern and the normalized backscattering cross section are presented for two specific inhomogeneous profiles. The variations of these quantities with the physical parameters of the dielectric shell are studied.

scholarly journals Melting Effect on Unsteady Hydromagnetic Flow of a Nanofluid Past a Stretching Sheet

2011 ◽  
Vol 9 (1) ◽  
Author(s):  
Ali J. Chamkha ◽  
A.M. Rashad ◽  
Eisa Al-Meshaiei
Keyword(s):  
Stretching Sheet ◽  
Volume Fraction ◽  
Transverse Magnetic ◽  
Skin Friction Coefficient ◽  
Physical Parameters ◽  
Time Histories ◽  
Nanoparticles Volume Fraction ◽  
Layer Flow ◽  
Stretching Plate ◽  
Melting Effect

This paper considers unsteady, laminar, boundary-layer flow with heat and mass transfer of a nanofluid along a horizontal stretching plate in the presence of a transverse magnetic field, melting and heat generation or absorption effects. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. The governing partial differential equations are transformed into a set of non-similar equations and solved numerically by an efficient implicit, iterative, finite-difference method. A parametric study illustrating the influence of various physical parameters is performed. Numerical results for the steady-state velocity, temperature and nanoparticles volume fraction profiles as well as the time histories of the skin-friction coefficient, Nusselt number and the Sherwood number are presented graphically and discussed.

scholarly journals Effects of ohmic heating and viscous dissipation on steady MHD flow near a stagnation point on an isothermal stretching sheet

2009 ◽  
Vol 13 (1) ◽  
pp. 5-12 ◽  
Author(s):  
Pushkar Sharma ◽  
Gurminder Singh
Keyword(s):  
Stagnation Point ◽  
Viscous Dissipation ◽  
Ohmic Heating ◽  
Mhd Flow ◽  
Transverse Magnetic ◽  
Skin Friction Coefficient ◽  
Physical Parameters ◽  
Governing Equations ◽  
Shooting Technique ◽  
Electrically Conducting

Aim of the paper is to investigate effects of ohmic heating and viscous dissipation on steady flow of a viscous incompressible electrically conducting fluid in the presence of uniform transverse magnetic field and variable free stream near a stagnation point on a stretching non-conducting isothermal sheet. The governing equations of continuity, momentum, and energy are transformed into ordinary differential equations and solved numerically using Runge-Kutta fourth order with shooting technique. The velocity and temperature distributions are discussed numerically and presented through graphs. Skin-friction coefficient and the Nusselt number at the sheet are derived, discussed numerically, and their numerical values for various values of physical parameters are compared with earlier results and presented through tables.

Scattering of a Gaussian beam by an anisotropic-coated eccentric conducting circular cylinder

2020 ◽  
Vol 12 (9) ◽  
pp. 900-905
Author(s):  
Shi-Chun Mao ◽  
Zhen-Sen Wu ◽  
Zhaohui Zhang ◽  
Jiansen Gao ◽  
Lijuan Yang
Keyword(s):  
Gaussian Beam ◽  
Plane Waves ◽  
Approximate Expression ◽  
Transverse Magnetic ◽  
Addition Theorem ◽  
Electric Polarization ◽  
Electric Conductor ◽  
Solution Convergence ◽  
Local Coordinates ◽  
Scattered Fields

AbstractA solution to the problem of Gaussian beam scattering by a circular perfect electric conductor coated with eccentrically anisotropic media is presented. The incident Gaussian beam source is expanded as an approximate expression in the simple form with Taylor's series. The transmitted field in the anisotropically coated region is expressed as an infinite summation of Eigen plane waves with different polar angles. The unknown coefficients of the scattered fields are obtained with the aid of the boundary conditions. The addition theorem for cylindrical functions is applied to transfer from the local coordinates to the global ones. The infinite series can be truncated under the prerequisite of achieving the solution convergence. Only the case of transverse-electric polarization is discussed. The similar formulation of transverse-magnetic polarization can be obtained by adopting a similar method. Some numerical results are presented and discussed. The result is in agreement with that available as expected when the eccentric geometry comes to the concentric one.

Arbitrary direction incident Gaussian beam scattering by multispheres

2011 ◽  
Vol 20 (8) ◽  
pp. 081101 ◽  
Author(s):  
Zheng-Jun Li ◽  
Zhen-Sen Wu ◽  
Huan Li ◽  
Hai-Ying Li
Keyword(s):  
Gaussian Beam ◽  
Arbitrary Direction ◽  
Beam Scattering ◽  
Incident Gaussian Beam

Wedge diffraction of a critically incident Gaussian beam

Wave Motion ◽  
2013 ◽  
Vol 50 (4) ◽  
pp. 708-722 ◽  
Author(s):  
V. Zernov ◽  
L. Fradkin ◽  
A. Gautesen ◽  
M. Darmon ◽  
P. Calmon
Keyword(s):  
Gaussian Beam ◽  
Incident Gaussian Beam

The effect of Rayleigh length of incident Gaussian beam on the in-plane angular spin splitting

2021 ◽  
pp. 127559
Author(s):  
Liying Jiang ◽  
Shengyan Heng ◽  
Zihao Bai ◽  
Linjiao Ren ◽  
Pei Zhang ◽  
...  
Keyword(s):  
Gaussian Beam ◽  
Spin Splitting ◽  
Rayleigh Length ◽  
Incident Gaussian Beam

MHD Slip Flow of Cu-Kerosene Nanofluid in a Channel with Stretching Walls Using 3-Stage Lobatto IIIA Formula

2018 ◽  
Vol 387 ◽  
pp. 51-62 ◽  
Author(s):  
Jawad Reza ◽  
Fateh Mebarek-Oudina ◽  
Oluwole Daniel Makinde
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Volume Fraction ◽  
Solid Volume Fraction ◽  
Slip Flow ◽  
Transverse Magnetic ◽  
Numerical Results ◽  
Physical Parameters ◽  
Boundary Layer Equations ◽  
Energy Equations

In this paper, rheology of laminar incompressible Copper-Kerosene nanofluid in a channel with stretching walls under the influence of transverse magnetic field is investigated. The main structure of the partial differential equations was taken from the law of conservation of mass, momentum and energy equations. Governing boundary layer equations are transformed into nonlinear ordinary differential equations by using similarity variables and then solved with 3-stage Lobatto IIIA formula. Numerical results were compared with another numerical method (Runge-Kutta-Fehlberg) and found excellent agreement. The influence of physical parameters Reynolds number, magnetic number, solid volume fraction, momentum and thermal slip parameters on velocity and temperature profile considered. Numerical results revealed that solid volume fraction decreases the velocity of nanofluid particles near the lower wall of the channel and increase the thermal boundary layer thickness in the channel.

Electromagnetic scattering from a coated notched cylinder

1989 ◽  
Vol 67 (6) ◽  
pp. 587-591
Author(s):  
R. Ruppin ◽  
H. Yatom
Keyword(s):  
Cross Section ◽  
Electromagnetic Scattering ◽  
Transverse Electric ◽  
Transverse Magnetic ◽  
Physical Parameters ◽  
Incident Plane Wave ◽  
Backscattering Cross Section ◽  
Incident Plane ◽  
Scattering Spectra ◽  
Electromagnetic Resonances

The problem of electromagnetic scattering of a normally incident plane wave from a coated conducting notched cylinder is solved. The coating material and the notch material are arbitrary dielectrics, and the incident wave is either transverse electric or transverse magnetic polarized. The numerical results of backscattering cross-section calculations are presented, and the dependence of the cross section on the various physical parameters is investigated. The coated notched cylinder system possesses characteristic electromagnetic resonances that manifest themselves in the scattering spectra.

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