Computational electromagnetics methods
Is electromagnetics a hard class?
Electromagnetics is widely considered as a very difficult course, and students often get lost at the beginning..
What are computational methods in electromagnetics?
Computational electromagnetics consists mainly of two classes of numerical solvers: one that solves differential equations directly, the differential-equation solvers; and one that solves integral equations, the integral equation solvers.
Both these classes of equations are derived from Maxwell's equations..
Why should we study electromagnetics?
Students who well understand the basis of electromagnetic phenomena are well-equipped to attack a broad spectrum of important problems to advance electrical and computer engineering and directly benefit our society..
- Computational electromagnetics consists mainly of two classes of numerical solvers: one that solves differential equations directly: the differential-equation solvers; and one that solves integral equations: the integral equation solvers.
Both these classes of equations are derived from Maxwell's equations. - Method of Moments and Finite Element Methods are two of the most used methods in computational electromagnetics to solve electromagnetic equations.
As it is known, in FEM sparse matrixes are used while MoM uses the full-matrixes. - Numerical methods are developed to study various applications in electromagnetic wave propagation and scattering.
Analytical methods are used where possible to enhance the efficiency, accuracy, and applicability of the numerical methods. - The electromagnetic finite element analysis method involves four steps to achieve a solution for an electromagnetic problem: Discretization of the solution region into finite elements.
Deriving the governing equations for an individual element.
Assembling all the finite elements in the solution region.
Computational Methods for Electromagnetics- Two- and three-dimensional integral equation/method-of-moments formulations.
- Open-region finite-element formulations based on the scalar and vector Helmholtz equations.
- Finite difference time-domain methods.
- Direct and iterative algorithms for the solutions of linear systems.
Computational electromagnetics (CEM), computational electrodynamics or electromagnetic modeling is the process of modeling the interaction of electromagnetic BackgroundOverview of methodsDifferential equation solversOther methods
Computational electromagnetics consists mainly of two classes of numerical solvers: one that solves differential equations directly, the differential-equation solvers; and one that solves integral equations, the integral equation solvers. Both these classes of equations are derived from Maxwell's equations.
Numerical solution method of computational electromagnetics
The finite-difference frequency-domain (FDFD) method is a numerical solution method for problems usually in electromagnetism and sometimes in acoustics, based on finite-difference approximations of the derivative operators in the differential equation being solved.
Academic journal
IEEE Journal on Multiscale and Multiphysics Computational Techniques is a yearly peer-reviewed scientific journal published by the IEEE.
It was co-founded in 2016 by IEEE Microwave Theory and Technology Society, IEEE Antennas and Propagation Society and IEEE Electromagnetic Compatibility Society.
The journal covers the advances in computational electromagnetics, computational physics and applications of numerical methods in electrical engineering.
Its editor-in-chief is Costas D.
Sarris.
Technique in computational electromagnetism
Plane wave expansion method (PWE) refers to a computational technique in electromagnetics to solve the Maxwell's equations by formulating an eigenvalue problem out of the equation.
This method is popular among the photonic crystal community as a method of solving for the band structure of specific photonic crystal geometries.
PWE is traceable to the analytical formulations, and is useful in calculating modal solutions of Maxwell's equations over an inhomogeneous or periodic geometry.
It is specifically tuned to solve problems in a time-harmonic forms, with non-dispersive media.
Technique for computing light scattering by nonspherical particles
The Transition Matrix Method is a computational technique of light scattering by nonspherical particles originally formulated by Peter C.
Waterman (1928–2012) in 1965.
The technique is also known as null field method and extended boundary condition method (EBCM).
In the method, matrix elements are obtained by matching boundary conditions for solutions of Maxwell equations.
It has been greatly extended to incorporate diverse types of linear media occupying the region enclosing the scatterer.
The transmission-line matrix (TLM) method is a space and time discretising method for computation of electromagnetic fields.
It is based on the analogy between the electromagnetic field and a mesh of transmission lines.
The TLM method allows the computation of complex three-dimensional electromagnetic structures and has proven to be one of the most powerful time-domain methods along with the finite difference time domain (FDTD) method.
The TLM was first explored by Raymond Beurle while working at English Electric Valve Company in Chelmsford.
After he had been appointed professor of electrical engineering at the University of Nottingham in 1963 he jointly authored an article, Numerical solution of 2-dimensional scattering problems using a transmission-line matrix, with Peter B.
Johns in 1971.
