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Numerical and Analytical Methods in Electromagnetics
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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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Keywords
- 3D-EM simulation
- accuracy
- air-core pulsed alternator
- analytical solution
- Arrhenius integral
- bioheat transfer
- birdcage coil
- birdcage configurations
- Breast cancer
- carbon nanotubes composite
- coil capacitance
- coil gun
- Cole–Cole model
- computational electromagnetics
- conductivity
- coupled analysis
- cubic-quartic resonant Schrödinger equation
- cubic-quartic Schrödinger equation
- current density
- diffusion approximation
- electromagnetic launcher
- electromagnetic modelling
- electromagnetic rail launcher
- electromagnetic scattering
- Electronics
- equivalent circuit modelling
- finite difference method
- Finite element method
- History of engineering & technology
- integral formulation
- integral formulations
- Magnetic field strength
- magnetic flux density
- magnetic potential
- magnetite nanoparticles
- Mechanics
- Mechatronics
- method of auxiliary sources (MAS)
- micro-resonator
- Mie scattering theory
- Monte Carlo simulations
- MRI system
- mutual inductance
- n/a
- near infrared laser
- non-linear wave mixing
- Numerical methods
- optical parametric amplification
- optimization
- parabolic law
- partial element equivalent circuit method
- percolation
- photothermal therapy
- power transmission line
- reluctance
- RoboCup
- simulation
- skin effect
- small volume RF coil
- T-matrix theory
- Technology, engineering, agriculture
- Technology: general issues
- thin shell approach
- wave field transformation
- wedge