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Electromagnetics and Applications >> Content Detail



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Readings


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The table below provides the reading assignments for the course. The required readings are taken from the textbook Electromagnetics and Applications by D. H. Staelin. These readings are listed without an abbreviation in the table. The related reading sections for video demonstrations during the course are abbreviated as H/M. The entire contents of H/M can be found in Textbook with Videos.

Staelin, David H. "Electromagnetics and Applications." (Course notes, Massachusetts Institute of Technology, n.d.)

Amazon logo H/M = Haus, Hermann A., and James R. Melcher. Electromagnetic Fields and Energy. Englewood Cliffs, NJ: Prentice-Hall, 1989. ISBN: 9780132490207.


SES #TOPICSREADINGS
I. Maxwell's equations
R1Review of vector and integral calculus; cartesian, cylindrical, and spherical coordinate systems; ej(ωt-kz) complex notation; gradient, curl, and divergence1.2-1.5, appendices B, C
L1

Coulomb-Lorentz force law; Maxwell's equations in integral form; simple electric and magnetic field solutions using Gauss' and Ampere's laws for point, line, and surface charges and currents; superposition; simple cylindrical and spherical source problems

Demos: H/M 10.2.1 - Edgerton's Boomer

1.1, 1.2, 1.5.3
R2Simple problems using superposition and integral forms of Gauss' and Ampere's laws with simple spatial distributions of volume charge density and volume current density
L2Derive boundary conditions; apply boundary conditions to surface charge and surface current problems2.1
R3Boundary condition problems, e.g., perfectly conducting sphere or cylinder surrounding point or line charge or line current
L3

Divergence and Stokes' theorems; Maxwell's equations in differential form; electroquasistatics and magnetoquasistatics (MQS); potential and the gradient operator

Demo: H/M 10.0.1 nonuniqueness of voltage in an MQS system

1.5, 2.4, 2.5
R4Problem solutions using differential form of Maxwell's equations: surface and volume charged or current carrying planar layer, cylinder and sphere
L4The electric field, electric scalar potential, and the gradient; Poisson's and Laplace's equations; potential of point charge; Coulomb superposition integral2.2
R5The electric dipole (potential and electric field); simple problems using the Coulomb superposition integral (line charge, ring of line charge, disk of surface charge)
L5Method of images2.7
R6Method of images problems with planes, cylinders, and spheres
L6

Media: dielectric, conducting, and magnetic constitutive laws; charge relaxation

Demos: H/M 6.6.1 artificial dielectric; 9.4.1 measurement of B-H characteristic (magnetic hysteresis loop)

4.1
R7

Capacitance, resistance, inductance, and charge relaxation problems in cartesian, cylindrical, and spherical geometries

Demo: H/M 7.7.1 relaxation of charge on particle in ohmic conductor (video); Supplement: Kelvin's water dynamos (video)

7.1-7.4
L7Conservation of charge boundary condition; Maxwell capacitor; magnetic dipoles and circuits; reluctance
II. Plane waves
L8Wave equation; Poynting's theorem1.3.2, 1.4, 1.6
R8

Sinusoidal steady state; normal incidence on a perfect conductor and a dielectric

Demo: plane wave movies

5.1
L9Oblique incidence on a perfect conductor; transverse magnetic (TM) waves with oblique incidence on lossless media described by ε and µ; reflection and transmission; transverse electric (TE) waves with oblique incidence on lossless media5.3
R9

Snell's law: Brewster and critical angles; effects of ohmic loss; skin-depth

Demo: laser and prism Brewster's angle, critical angle

5.3
R10Lasers; applications to optics: polarization by reflection; totally reflecting prisms; fiber optics-straight light pipe, bent fiber11.3.2
R11Lasers; optical devices
III. Transmission lines and waveguides
L10

Parallel plate transmission lines; wave equation; sinusoidal steady state

Demo: H/M 13.1.1 visualization of standing waves

5.2
R12Transmission line sinusoidal steady state problems with short circuit, open circuit, and loaded ends; short-line limits as circuit approximations to capacitors and inductors5.2
L11

Gamma plane; smith chart; voltage standing wave ratio (VSWR); λ/4 transformer

Demo: V(z,t), I(z,t) movies

5.2.4, 10.6.4
R13Quiz 1 review
Q1Quiz 1
R14Impedance and VSWR problems using the smith chart; single-stub tuner5.2.4, 10.6.4
L12

Wave equations (lossless); transient waves on transmission lines

Demo: H/M 14.4.1 transmission line matching, reflection, and quasistatic charging

5.2.1, 5.2.2, 9.2
R15

Transient wave driven and initial value problems

Demo: transient wave movies

9.2
L13Reflections from ends; driven and initial value problems5.2.1, 5.2.2, 9.2
R16

Waveguide fields; surface charge and current; calculation and sketching of electric and magnetic field lines

Demo: show plots of electric and magnetic field lines for various waveguide modes

L14Rectangular waveguides; TM and TE modes; cut-off5.4.1, 5.4.3
R17Cavity resonators; group and phase velocity; dispersion relations; lasers5.4.4, 10.7
IV. Fields and forces
L15

Dielectric waveguides

Demo: evanescent waves

5.4.2, 11.3
R18Force problems in capacitive and inductive systems8.1, 8.3
L16

Energy in electric and magnetic fields; principle of virtual work to find electric and magnetic forces; magnetic circuit problems

Demo: H/M 11.6.2 force on a dielectric material (video)

3.2
R19Ohm's law for moving media; Faraday's disk (homopolar generator); torque; equivalent circuit
L17

Synchronous rotating machines

Film: Synchronous Machines

L18

Self-excited electric and magnetic machines

Demo: H/M 7.7.1 van de Graaff and Kelvin generators (video); self-excited commutator machines

R20Quiz 2 review
Q2Quiz 2
R21Torque-speed characteristics of rotating machines
V. Antennas and radiation
L19Radiation by charges and currents; setting the gauge; Lorentz gauge; superposition integral solutions for scalar and vector potentials; radiation from a point electric dipole; receiving antenna properties6.1.3, 6.2, 6.3
R22Electric and magnetic fields from a point electric dipole; far-field solution; radiation resistance; effective dipole length; antenna gain6.3
L20

2 element array; broad side and end-fire arrays

Demo: radiation patterns

6.4, 10.4.1
R23

Element and array factors; N dipole array; beam steering

Demo: radiation patterns/computer simulations

6.4, 10.4
L21Transmitting and receiving antennas; wireless and optical communications10.1
R24Wireless and optical communication problems
VI. Acoustics
L22Acoustic waves12.1-12.3
R25Acoustic wave boundary value problems12.4
L23Course review

 








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