Belépés címtáras azonosítással
magyar nyelvű adatlap
angol nyelvű adatlap
A tantárgy neve magyarul / Name of the subject in Hungarian: Elektromágneses terek
Last updated: 2019. február 18.
Dr. Gyula Veszely, professor emeritus, BME-HVT
Dr. József Pávó, professor, BME-HVT
Dr. Szabolcs Gyimóthy, associate professor, BME-HVT
Dr. Sándor Bilicz, senior lecturer, BME-HVT
A fenti forma a Neptun sajátja, ezen technikai okokból nem változtattunk.
A kötelező előtanulmányi rendek grafikus formában itt láthatók.
The main goal of
the course is the qualitative and quantitative discussion of the
electromagnetic phenomena using deductive reasoning based on the
discussion of the theory of electromagnetism starting from the
knowledge gathered during the BSc studies.
basics of the various methods used for the numerical analysis of
electromagnetic field problems. Discussion of relevant questions
related to the modelling of electromagnetic devices. Analysis, design
and optimization of electromagnetic devices in the engineering
Discussion of the
electromagnetic theory behind the working principles of some devices:
ranging from the high power engineering apparatuses through the high
frequency applications to the optical and nanoelectronic devices.
Introduction, review of previous studies
the mathematics background. Maxwell-equations. Electromagnetic field
quantities, forces. Constitutive relations, spatial- and time
dispersion in materials. The meaning of imposed electric field.
Macroscopic and microscopic Maxwell-equations and their
relations. Electromagnetic field quantities at the boundary of two
electromagnetic power density. Concept of initial value and
boundary value problems. Special time dependences in linear
materials: steady-state periodic excitation, arbitrary shape
excitation in passive materials, causal excitations. Complex
power, complex form of the energy balance.
value problems in electrodynamics
Conditions to get
unique solution of the Maxwell-equations, the radiation
condition. Boundary value problems (BVP) of electrodynamics.
Scalar problems leading to the Laplace-Poisson equation: (i)
electrostatics, (ii) magnetostatics, (iii) current flow problems. Boundary conditions leading to the unique solution of the
Laplace-Poisson equation, the physical representation of this
Further BVPs of
electrodynamics: (iv) magnetic field due to stationary currents
defined by vector potentials or by reduced magnetic scalar potential,
(v) eddy current fields (quasi-stationary fields), (vi)
electromagnetic waves. Electromagnetic field representation of
n-poles of Kirchhoff type networks.
hours): (i) solution of electrostatic problems with finite element
method (FEM) software. Definition of the BVP, derivation of the
design parameters from the numerical solution of the BVP. Usage of
the applied FEM software. Some further practical examples solved by
FEM: magnetic field due to stationary currents, eddy current field
and electromagnetic waves.
solution of boundary value problems, basics of the analysis softwares
used in the electrical engineering practice
Review of methods
used for the numerical solution of BVPs (global/local approximations,
integral/differential formulations, etc.). Application of FEM
for the solution of BVPs. Residuum theory, derivation of the
discretized equations for Poisson-type problems. Approximating
function used for FEM.
for scalar BVPs. Some 1D Green's functions. Green's functions of the
scalar Poisson- and wave equations in free space. Dyadic Green's
functions. Dyadic Green's functions related to the vectorial Poisson-
and wave equations in free space. Method of integral equations
used for the solution of the BVPs of electrodynamics.
hours): examples for the solution of BVPs of electrodynamics. Finite
difference time domain (FDTD) method. Discretization of the
differential operator, the Yee algorithm for 1 and 3 dimensional
cases. Demonstration (1 hours): analysis of multilayer
anti-reflection coating for various excitations with FDTD method.
electromagnetic field analysis problems in electrical engineering
problems in lossy transmission lines, application of
Fourier-transform method. Time-dependent problems in ideal
transmission lines, use of the Laplace-transform method,
understanding the graphical solution. Demonstration (1 hour):
numerical code for the analysis of lossy transmission lines using the
Fourier-transform method. Inverse and optimization methods in
hours): example, (i) inverse and optimization problem of
electromagnetic nondestructive testing, (ii) solution of an
optimization problem. High power engineering applications,
eddy currents in electrical machines.
wave problems. Plane waves:
reflection of plane waves with arbitrary incidence, total reflection,
representation of arbitrary electromagnetic field as superposition of
plane waves. Waveguides:
eigenvalue problems, definition of modes in waveguides with arbitrary
cross-sections, guided modes of waveguides with rectangular cross
section. Open waveguides: microstrip waveguides, dielectric
near- and far fields, radiation
pattern, input impedance, directivity, gain. Patch
hours): analysis of high
frequency devices using HFSS FEM software.
Selected topics from novel applications
waves in periodic structures, investigation
of some meta-materials. Homogenization.
hours): reflection of
electromagnetic waves on periodic structures. Coupled mode theory,
basics of wireless power transfer.
in moving media: relativistic Maxwell-equations and its
approximations. Example: scattering from moving objects.
3 hours per week, demonstration: 1 hour per week. Demonstrations are
mainly about the presentation made by the use of electromagnetic
field calculation softwares. Lectures
and demonstrations are not evenly distributed during the semester,
they are arranged to follow the needs of the curriculum.
a. During the lecture period: students must solve a dedicated field
calculation problem. The result of this must be reported orally. The
oral report will be graded, a minimum grade 2 is required for the signature.
During the examination period: students must sit for an oral exam.
If the oral report is failed during the lecture period, it can be repeated once in the week before the examination period.
Lecturers of the course offer consultation hours during the lecture period. One
consultation is offered before each exam. The actual time of the
consultations can be found on the web site of the course.
David k. Cheng,
Field and wave electromagnetics, Addison-Wesley Publishing Company, Reading, MA, USA
Dr. József Pávó, professor, BME-HVT