Numerical and Analytical Methods in Electromagnetics

Like all branches of physics and engineering, electromagnetics relies on mathematical methods for modeling, simulation, and design procedures in all of its aspects (radiation, propagation, scattering, imaging, etc.). Originally, rigorous analytical techniques were the only machinery available to pro...

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collection Directory of Open Access Books
description Like all branches of physics and engineering, electromagnetics relies on mathematical methods for modeling, simulation, and design procedures in all of its aspects (radiation, propagation, scattering, imaging, etc.). Originally, rigorous analytical techniques were the only machinery available to produce any useful results. In the 1960s and 1970s, emphasis was placed on asymptotic techniques, which produced approximations of the fields for very high frequencies when closed-form solutions were not feasible. Later, when computers demonstrated explosive progress, numerical techniques were utilized to develop approximate results of controllable accuracy for arbitrary geometries. In this Special Issue, the most recent advances in the aforementioned approaches are presented to illustrate the state-of-the-art mathematical techniques in electromagnetics.
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publishDate 2021
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publisherStr MDPI - Multidisciplinary Digital Publishing Institute
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spelling doab-20.500.12854ir-685032024-04-11T15:10:32Z Numerical and Analytical Methods in Electromagnetics Anastassiu, Hristos cubic-quartic Schrödinger equation cubic-quartic resonant Schrödinger equation parabolic law wave field transformation finite difference method Cole–Cole model Monte Carlo simulations percolation conductivity carbon nanotubes composite optical parametric amplification non-linear wave mixing micro-resonator optimization MRI system birdcage coil birdcage configurations coil capacitance analytical solution equivalent circuit modelling T-matrix theory 3D-EM simulation small volume RF coil method of auxiliary sources (MAS) electromagnetic scattering wedge numerical methods accuracy coil gun reluctance electromagnetic launcher mechatronics electronics mechanics simulation RoboCup magnetic field strength magnetic flux density magnetic potential current density power transmission line electromagnetic modelling integral formulation skin effect thin shell approach mutual inductance finite element method partial element equivalent circuit method magnetite nanoparticles Mie scattering theory near infrared laser photothermal therapy bioheat transfer diffusion approximation Arrhenius integral breast cancer air-core pulsed alternator electromagnetic rail launcher coupled analysis computational electromagnetics integral formulations n/a thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology Like all branches of physics and engineering, electromagnetics relies on mathematical methods for modeling, simulation, and design procedures in all of its aspects (radiation, propagation, scattering, imaging, etc.). Originally, rigorous analytical techniques were the only machinery available to produce any useful results. In the 1960s and 1970s, emphasis was placed on asymptotic techniques, which produced approximations of the fields for very high frequencies when closed-form solutions were not feasible. Later, when computers demonstrated explosive progress, numerical techniques were utilized to develop approximate results of controllable accuracy for arbitrary geometries. In this Special Issue, the most recent advances in the aforementioned approaches are presented to illustrate the state-of-the-art mathematical techniques in electromagnetics. 2021-05-01T15:11:31Z 2021-05-01T15:11:31Z 2021 book ONIX_20210501_9783036500645_249 9783036500645 9783036500652 https://directory.doabooks.org/handle/20.500.12854/68503 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/3523 https://mdpi.com/books/pdfview/book/3523 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-0065-2 10.3390/books978-3-0365-0065-2 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036500645 9783036500652 196 Basel, Switzerland open access
spellingShingle cubic-quartic Schrödinger equation
cubic-quartic resonant Schrödinger equation
parabolic law
wave field transformation
finite difference method
Cole–Cole model
Monte Carlo simulations
percolation
conductivity
carbon nanotubes composite
optical parametric amplification
non-linear wave mixing
micro-resonator
optimization
MRI system
birdcage coil
birdcage configurations
coil capacitance
analytical solution
equivalent circuit modelling
T-matrix theory
3D-EM simulation
small volume RF coil
method of auxiliary sources (MAS)
electromagnetic scattering
wedge
numerical methods
accuracy
coil gun
reluctance
electromagnetic launcher
mechatronics
electronics
mechanics
simulation
RoboCup
magnetic field strength
magnetic flux density
magnetic potential
current density
power transmission line
electromagnetic modelling
integral formulation
skin effect
thin shell approach
mutual inductance
finite element method
partial element equivalent circuit method
magnetite nanoparticles
Mie scattering theory
near infrared laser
photothermal therapy
bioheat transfer
diffusion approximation
Arrhenius integral
breast cancer
air-core pulsed alternator
electromagnetic rail launcher
coupled analysis
computational electromagnetics
integral formulations
n/a
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology
Numerical and Analytical Methods in Electromagnetics
title Numerical and Analytical Methods in Electromagnetics
title_full Numerical and Analytical Methods in Electromagnetics
title_fullStr Numerical and Analytical Methods in Electromagnetics
title_full_unstemmed Numerical and Analytical Methods in Electromagnetics
title_short Numerical and Analytical Methods in Electromagnetics
title_sort numerical and analytical methods in electromagnetics
topic cubic-quartic Schrödinger equation
cubic-quartic resonant Schrödinger equation
parabolic law
wave field transformation
finite difference method
Cole–Cole model
Monte Carlo simulations
percolation
conductivity
carbon nanotubes composite
optical parametric amplification
non-linear wave mixing
micro-resonator
optimization
MRI system
birdcage coil
birdcage configurations
coil capacitance
analytical solution
equivalent circuit modelling
T-matrix theory
3D-EM simulation
small volume RF coil
method of auxiliary sources (MAS)
electromagnetic scattering
wedge
numerical methods
accuracy
coil gun
reluctance
electromagnetic launcher
mechatronics
electronics
mechanics
simulation
RoboCup
magnetic field strength
magnetic flux density
magnetic potential
current density
power transmission line
electromagnetic modelling
integral formulation
skin effect
thin shell approach
mutual inductance
finite element method
partial element equivalent circuit method
magnetite nanoparticles
Mie scattering theory
near infrared laser
photothermal therapy
bioheat transfer
diffusion approximation
Arrhenius integral
breast cancer
air-core pulsed alternator
electromagnetic rail launcher
coupled analysis
computational electromagnetics
integral formulations
n/a
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology
topic_facet cubic-quartic Schrödinger equation
cubic-quartic resonant Schrödinger equation
parabolic law
wave field transformation
finite difference method
Cole–Cole model
Monte Carlo simulations
percolation
conductivity
carbon nanotubes composite
optical parametric amplification
non-linear wave mixing
micro-resonator
optimization
MRI system
birdcage coil
birdcage configurations
coil capacitance
analytical solution
equivalent circuit modelling
T-matrix theory
3D-EM simulation
small volume RF coil
method of auxiliary sources (MAS)
electromagnetic scattering
wedge
numerical methods
accuracy
coil gun
reluctance
electromagnetic launcher
mechatronics
electronics
mechanics
simulation
RoboCup
magnetic field strength
magnetic flux density
magnetic potential
current density
power transmission line
electromagnetic modelling
integral formulation
skin effect
thin shell approach
mutual inductance
finite element method
partial element equivalent circuit method
magnetite nanoparticles
Mie scattering theory
near infrared laser
photothermal therapy
bioheat transfer
diffusion approximation
Arrhenius integral
breast cancer
air-core pulsed alternator
electromagnetic rail launcher
coupled analysis
computational electromagnetics
integral formulations
n/a
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology
url ONIX_20210501_9783036500645_249