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العنوان
A Study of Electromagnetic Fields with Some Different Applications in Wave Motion/
المؤلف
Ali,Ahmed Refaie Abd-Al Mohimein .
هيئة الاعداد
باحث / أحمد رفاعى عبد المهيمن على
مشرف / أسامة محمد حسانين ابو سعدة
مشرف / نبيل توفيق محمد الضبع
مشرف / محمد محمد أحمد أبو شادى
الموضوع
Mathematics. Far-Field, Radiation. Electromagnetic non-Darcy. Plasma-Filled Cylindrical Waveguide. nanoparticles and<br>electromagnetic waves<br>.
تاريخ النشر
2021.
عدد الصفحات
137 p. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الرياضيات التطبيقية
تاريخ الإجازة
1/12/2021
مكان الإجازة
جامعة المنوفية - كلية العلوم - الرياضيات وعلوم الحاسب
الفهرس
Only 14 pages are availabe for public view

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Abstract

The thesis aims to study electromagnetic _elds with some di_erent appli-
cations in wave motion.
The thesis is consists of eight chapters, with a list of con-
tents, a list of _gures, Arabic and English summaries, a list
of publications, and a bibliography (References).
In chapter one: Literature Review & Introduction
In chapter one, we gave a survey of the literature relevant to this thesis
as well as an introduction to some Electrodynamics topics.
In chapter two: Far-_eld, ohmic heating, radiation resis-
tance, temperature of Hertzian dipole antenna in lossless
medium with momentum and energy ow in the far- zone
A Far-_eld with calculation of intrinsic impedance, ohmic heating and
antenna temperature of radiated ideal (Hertzian) dipole antenna have been
discussed in free space and lossless background. Actually, there is great
important to analysis the radiation resistance mechanism of a Hertzian
dipole antenna in an in_nite isotropic lossless medium. We also discussed
the momentum and energy ow in electromagnetic _elds with investigation
that wavefront/phase velocity is equals to light speed in far zone. Typically,
The thermal noise increase _ 130 K from the surrounding environment to
temperature of the antenna. The temperature of lossless Hertzian antenna
is equal to brightness temperature To. The results of this problem have been published in the ”JOURNAL OF
ADVANCES IN PHYSICS”, 18, 2028. https://doi.org/10.24297/jap.v18i.8803
In chapter three: Electromagnetic non-Darcy Forchheimer
ow and heat transfer over a nonlinearly stretching sheet of
non-Newtonian uid in the presence of a non-uniform heat
source
This chapter focuses on the study of electromagnetic e_ects on a non-
Newtonian uid that obeys the Casson model. Non-Darcy Forchheimer
Cassson uid ow and heat transfer are considered over a non-linear stretch-
ing sheet in the presence of a non-uniform heat source/generation. The
governing foundational equations are _rst converted into a system of ordi-
nary di_erential equations utilizing transformation of self-similarity and are
then solved numerically by using Mathematica’s package for some physical
parameter values. Signi_cant features of ow and heat transfer behaviors
are presented and analyzed for various parameter values, especially for mag-
netic and electric _elds. Numerical results for the velocity and temperature
pro_les for the prescribed parameters are graphically represented as well as
the local skin-friction coe_cient and local Nusselt number are displayed for
speci_c parameters values to show interesting aspects of the numerical so-
lution with the associated behaviors. It was found that, as the Forchheimer
number F increases, the velocity decreases while the temperature increases.
The temperature pro_le and the thermal boundary layer thickness decrease
with increasing the electrical parameter.
The results of this problem have been published in ”Solid State
Technology”
In chapter four: Cherenkov FEL reaction with plasma-_lled
cylindrical waveguide in fractional D-dimensional space
The possibility of generating an electromagnetic (EM) wave by a free-
electron laser (FEL) beam from the Cherenkov device to control the cylin-
drical waveguide’s _eld attenuation _lled with plasma has been investi-
gated by analytical formalism. This new study sheds light on Cherenkov
FEL beam interaction with electrons of inhomogeneous warm plasma to
generate an electromagnetic wave in fractional dimensional space. The new
analysis of traveling and standing waves in terms of Hankel and Bessel func-
tions paves a way for introducing controlled EM wave propagation based
on fractional D-dimensional space. It has been found that the Cherenkov
FEL beam excites the EM wave and enhances the propagation of the elec-
trical _eld through fractional dimensional space with propagation constant
depending on Langmuir frequency. Within the plasma in the cylindrical
waveguide, a TM mode emerges that contains spatial frequencies with a
faster growth rate for traveling waves than standing waves.
The results of this problem have been published in:
IEEE Transactions on Plasma Science, vol. 49, no. 7, pp.
2070-2079, July 2021
In chapter Five: The e_ect of nanoparticles and electro-
magnetic waves on Coronavirus (COVID-19) using a rectan-
gular waveguide cavity resonator
In this paper, the nanoparticles can be inserted into the bloodstream of
an infected individual and bind to the coronavirus receptor using a Cavity,
which is designed to pass electromagnetic (EM) wave propagation back and
forth across its walls. At the cavity’s resonant frequency, which is also the
frequency at which the response amplitude is greatest, standing waves form.
The individual infected with the coronavirus is placed in the cavity, which
has its electromagnetic wavelength adjusted to resonate with nanoparticles
attached to coronavirus receptors. As a result, the heat generated by the
resonant frequency of EM waves and nanoparticles attached to the coron-avirus will reduce the virus activity in an infected person.
The results of this problem have been accepted for publication in:
Advances in Mechanics
In chapter Six: On study of fractal electromagnetic wave
propagation in an inhomogeneous plasma using Caputo deriva-
tive.
Investigating of the electromagnetic (EM) wave propagation within an
inhomogeneous plasma is discussed in both integer and fractional space.
EM wave equation in terms of the fractional derivative of the Caputo type
has been solved at di_erent values of fractional order . A new fractional
wave equation of order 0 < 6 1 and 1 < 6 2 is used to describe
the fractional plasma wave propagation. Moreover, the classical results are
obtained at = 1. Four special cases for fractional order values have
been discussed through some of _gures to show the behavior of the wave of
plasma electrons. It is found that the analytical solutions are expressed in
terms of the Mittag-Le_er function depending on the parameter and the
patterns of the propagation relates with fractional wave frequency $2.
The results of this problem are under review in:
Progress In Electromagnetics Research
In chapter Seven: Transient magnetic _eld behavior inside
an atmospheric duct caused by a vertical magnetic dipole
through the fractional space.
This new study sheds light on behavior monitoring of transient elec-
tromagnetic (EM) _eld inside an atmospheric duct (dielectric medium)
through the fractional D-dimensional space by analytical formalism. A
vertical magnetic dipole is located in the upper surface layer above the
duct to be a source of the electromagnetic wave. The exact solution of the
fractional EM equation is obtained in terms of Bessel and Mittage-Le_er functions based on Caputo fractional derivative order _ and the fractional
D-dimensional space that include fractional Laplacian operator. The tran-
sient magnetic _eld behavior inside the duct is plotted through some of
_gures depending on D, _. The classical results in usual integer space are
recovered from fractional solution. It is found that the amplitude of EM
wave increases by increasing D and _ simultaneously, in general, the am-
plitude of the propagated wave in the integer space is a higher than those
in fractional space.
The results of this problem are under review in:
Applied Mathematics and Computation