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PGEE936 -
Advanced Electromagnetics - Timetable 2021.01 |
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HOMEWORK |
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DATE |
VIDEOCLASS |
SUBJECT |
DURATION |
SUB-TOTAL |
DELIVERED |
RETURNED |
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Legend |
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31-Mar-21 |
VC1 |
Introduction,
vector algebra, basic coordinate systems, transformations between coordinate
systems. |
2 |
2 |
HW1 |
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EX-Examination |
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2-Apr-21 |
VC2 |
Integration
in 3D space, differentiation in 3D space, gradient, divergent. |
2 |
4 |
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HW - Homework |
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7-Apr-21 |
VC3 |
Divergent,
curl, Green identities, Gauss, Stokes and Helmholtz theorems. |
2 |
6 |
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NC - No class |
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9-Apr-21 |
VC4 |
Introduction
to Electrostatics. Fields of discrete systems and continuous distributions.
Density function for a point charge. Dirac's delta functions in 3D space.
Gauss's law, electric potential. |
2 |
8 |
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VC - Videoclasses |
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14-Apr-21 |
VC5 |
Source
distributions represented by Dirac’s delta functions. Potential energy.
Maxwell’s equations for electrostatics in vacuum. Boundary conditions. |
2 |
10 |
HW2 |
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16-Apr-21 |
EX1 |
EXAMINATION
01 - HW1 (SUBJECT COVERED BY VC1–VC4) |
2 |
12 |
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HW1 |
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21-Apr-21 |
VC6 |
Electric
dipole. Polarization, polarization charges. Determination of fields in
material media using the polarization charge model. Constitutive relationship
in dielectric media. Final form of Maxwell's equations for electrostatics. |
2 |
14 |
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23-Apr-21 |
VC7 |
Energy
in dielectric media. Poisson's and Laplace's equations. Problem solving
examples of Poisson's eq. for high symmetry problems. Integral solution for
the potential function. Solution using Green's functions. Uniqueness theorem.
Capacitance. Principle of virtual work. |
2 |
16 |
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28-Apr-21 |
VC8 |
Product
solution in rectangular coordinates. Expansions in orthogonal functions.
Solution of Laplace's eq. for two-dimensional problems in cylindrical
coordinates. Numerical solution of Laplace's equation. |
2 |
18 |
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30-Apr-21 |
VC9 |
Product
solution in spherical coordinates. Legendre polynomials, associated Legendre
polynomials. Spherical harmonics. Addition Theorem for Spherical Harmonics. |
2 |
20 |
HW3 |
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5-May-21 |
EX2 |
EXAMINATION
02 - HW2 (SUBJECT COVERED BY VC5–VC8) |
2 |
22 |
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HW2 |
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7-May-21 |
VC10 |
Product
solution in cylindrical coordinates. Bessel functions. Orthogonality of
Bessel Functions. Modified Bessel Functions. |
2 |
24 |
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12-May-21 |
VC11 |
Image
method for a planar interface. Green's function for a planar interface. |
2 |
26 |
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14-May-21 |
VC12 |
Image
method for spherical or cylindrical boundaries. Green's functions for
spherical and cylindrical surfaces. |
2 |
28 |
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19-May-21 |
VC13 |
Boundary
value problems and Image Method in Dielectric Media. |
2 |
30 |
HW4 |
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21-May-21 |
EX3 |
EXAMINATION
03 - HW3 (SUBJECT COVERED BY VC9–VC12) |
2 |
32 |
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HW3 |
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26-May-21 |
VC14 |
Electric
current. Current density. Ohm's law. Charge conservation. Relaxation in
conducting multilayers. Energy exchange between electric field and moving
charges. Boundary value problem in conducting media. |
2 |
34 |
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28-May-21 |
VC15 |
Magnetostatic
force, magnetic flux density. Magnetic vector potential. Maxwell's eqs. for
Magnetostatics in vacuum. |
2 |
36 |
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2-Jun-21 |
VC16 |
Field
determination by use of the integral formulation. Vector potential and flux
density of circular loop. Field of localized current distribution. Magnetic
dipole. Magnetization. Magnetization current. Magnetic field vector.
Maxwell's equations for Magnetostatics. Types of material media from a
magnetic point of view. Magnetic permeability. |
2 |
38 |
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4-Jun-21 |
VC17 |
Magnetic
scalar potential and boundary value problems in magnetic media |
2 |
40 |
HW5 |
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9-Jun-21 |
EX4 |
EXAMINATION
04 - HW4 (SUBJECT COVERED BY VC13–VC16) |
2 |
42 |
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HW4 |
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11-Jun-21 |
VC18 |
Faraday's
law. Inductance and magnetic energy. Displacement current. |
2 |
44 |
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16-Jun-21 |
VC19 |
Maxwell's
equations for time-varying fields, Poynting's theorem. |
2 |
46 |
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18-Jun-21 |
VC20 |
Homogeneous
wave equation. General solution. Maxwell's equations for harmonic fields. |
2 |
48 |
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23-Jun-21 |
VC21 |
Inhomogeneous
wave equation. Lorentz and Coulomb gauges. General solution of the
inhomogeneous wave equation. |
2 |
50 |
HW6 |
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25-Jun-21 |
EX5 |
EXAMINATION
05 - HW5 (SUBJECT COVERED BY VC17–VC20) |
2 |
52 |
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HW5 |
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30-Jun-21 |
VC22 |
Poynting's
theorem for harmonic fields. Plane wave in the harmonic regime. |
2 |
54 |
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2-Jul-21 |
VC23 |
Frequency
response of material media. Material losses. |
2 |
56 |
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7-Jul-21 |
VC24 |
Dispersion |
2 |
58 |
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9-Jul-21 |
NC |
No
Class |
0 |
58 |
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14-Jul-21 |
EX6 |
EXAMINATION
06 - HW6 (SUBJECT COVERED BY VC17–VC20) |
2 |
60 |
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HW6 |
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