EE 30358

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EE 30358 Electromagnetic Fields and Waves II
Instructor Arpad I. CSURGAY 268 Fitzpatrick
Hall acsurgay_at_nd.edu
TA Timothy VASSEN
Textbook Magdy F. Iskander Electromagnetic
Fields and Waves Chapters 5 to 9
Electromagnetic Waves
Lectures Tuesday/Thursday 1100
-1215 DeBartolo 129
www.nd.edu/acsurgay/EMagII_2008
Dr. Arpad I. Csurgay is a Visiting Professor at
the EE Department - Center for Nano Science and
Technology, from Pazmany Peter Catholic
University, Budapest, Hungary, (Department of
Information Technology)
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ELECTROMAGNETIC WAVES
Gamma-rays
PHz
THz
GHz
MHz
kHz
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MAXWELLS EQUATIONS
Gausss Law for Electric Field
Gausss Law for Magnetic Field
Faradays Law
Amperes Law
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BOUNDARY CONDITIONS
CONTINUITY EQUATION
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Repeticio est mater studiorum
Textbook 2.12 2.15
Wave Equation in Source Free Region
Time Harmonic Fields and Their Phasor
Representation
Uniform Plane Wave Propagation in Free Space
Polarization of Plane Waves
Textbook 3.8 3.12
Uniform Plane Wave Propagation in Conductive
Medium
Electromagnetic Power and Poynting Theorem
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Wave Equation in Source Free Region
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Textbook 2.12 2.15
Wave Equation in Source Free Region
Time Harmonic Fields and Their Phasor
Representation
Uniform Plane Wave Propagation in Free Space
Polarization of Plane Waves
Textbook 3.8 3.12
Uniform Plane Wave Propagation in Conductive
Medium
Electromagnetic Power and Poynting Theorem
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Time Harmonic Fields and Their Phasor
Representation
IN LINAR TIME-INVARIANT MATERIALS
DO NOT DEPEND ON THE FIELDS AND ON TIME
IN THIS CASE MAXWELLS EQUATIONS ARE LINEAR,
i.e. sinusoidal time variations of source
functions of a given frequency produce
steady-state sinusoidal time variations of the
field vectors (E, D, B, H) of the same
frequency.
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Mutatis mutandis
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Textbook 2.12 2.15
Wave Equation in Source Free Region
Time Harmonic Fields and Their Phasor
Representation
Uniform Plane Wave Propagation in Free Space
Polarization of Plane Waves
Textbook 3.8 3.12
Uniform Plane Wave Propagation in Conductive
Medium
Electromagnetic Power and Poynting Theorem
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Uniform Plane Wave Propagation in Free Space
Propagation in z direction
Descartes coordinates
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Textbook 2.12 2.15
Wave Equation in Source Free Region
Time Harmonic Fields and Their Phasor
Representation
Uniform Plane Wave Propagation in Free Space
Polarization of Plane Waves
Textbook 3.8 3.12
Uniform Plane Wave Propagation in Conductive
Medium
Electromagnetic Power and Poynting Theorem
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Polarization of Plane Waves
LINEAR POLARIZATION
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LINEAR POLARIZATION
CIRCULAR POLARIZATION
ELLIPTICAL POLARIZATION
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Textbook 2.12 2.15
Wave Equation in Source Free Region
Time Harmonic Fields and Their Phasor
Representation
Uniform Plane Wave Propagation in Free Space
Polarization of Plane Waves
Textbook 3.8 3.12
Uniform Plane Wave Propagation in Conductive
Medium
Electromagnetic Power and Poynting Theorem
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Uniform Plane Wave Propagation in Conductive
Medium
MEDIUM OF PROPAGATION IS HOMOGENEOUS, LINEAR AND
ISOTROPIC
CONDUCTIVE MEDIUM
FREE SPACE
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Home work problems 1st week
PROBLEMS
CHAPTER 2 2.28, 2.30, 2.34, 2.36
CHAPTER 3 3.11, 3.14, 3.19, 3.24
Monday, 21st January by 5 6 P.M.
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Textbook 2.12 2.15
Wave Equation in Source Free Region
Time Harmonic Fields and Their Phasor
Representation
Uniform Plane Wave Propagation in Free Space
Polarization of Plane Waves
Textbook 3.8 3.12
Uniform Plane Wave Propagation in Conductive
Medium
Electromagnetic Power and Poynting Theorem
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Electromagnetic Power and Poynting Theorem
ENERGY DENSITY
LORENTZ FORCE (Mechanical force)
CONSERVATION OF ENERGY IN EM FIELDS
Total power generated by the sources
(batteries, generators, etc.)
Rate if increase of electric and magnetic stored
energy
Power density emanating RADIATION
Power dissipated
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EM energy stored in Volume V
Dissipation in conductors
Generators produce () or dissipate (-)
energy/unit time
Power leaves the volume through RADIATION
Poynting vector
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H
E
S E x H
THE EM WAVE CARRY ENERGY AND MOMENTUM
ENERGY AND MOMENTUM ARE CONSERVED !
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IF IS NOT ZERO, ENERGY FLOWS
If we discharge the capacitor, the electric
field disappears and the circulation of energy
stops
The discharge and the magnetic field interacts,
and the momentum of the interaction is equal to
the momentum of the circulating EM energy
The energy is localized in fileds (in the
insulators)
Energy is flowing
Power (energy per unit time) per unit surface
Mass
Momentum
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The energy flows in dielectrics
The energy flows from the generator to the load
in the dielectric (not in the wires)
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If the wires are lossy, the energy which is
dissipated by the wires flows from the field into
the wires through the surface of the wires
The energy per unit time flowing into the wire of
length l through its surface
This is the Joule power.
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