ESD.013
Electromagnetics and Applications
Fall 2005
Topics
- Review of vector and integral calculus; cartesian, cylindrical, and spherical coordinate systems; e j(ωt-kz) complex notation; gradient, curl, and divergence
- Simple problems using superposition and integral forms of Gauss’ and Ampere’s laws with simple spatial distributions of volume charge density and volume current density
- Derive boundary conditions; apply boundary conditions to surface charge and surface current problems
- Boundary condition problems, e.g., perfectly conducting sphere or cylinder surrounding point or line charge or line current
- Problem solutions using differential form of Maxwell’s equations: surface and volume charged or current carrying planar layer, cylinder and sphere
- The electric field, electric scalar potential, and the gradient; Poisson’s and Laplace’s equations; potential of point charge; Coulomb superposition integral
- The electric dipole (potential and electric field); simple problems using the Coulomb superposition integral (line charge, ring of line charge, disk of surface charge)
- Method of images
- Method of images problems with planes, cylinders, and spheres
- Conservation of charge boundary condition; maxwell capacitor; magnetic dipoles and circuits; reluctance
- Wave equation; Poynting’s theorem
- Oblique 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 media
- Lasers; applications to optics: polarization by reflection; totally reflecting prisms; fiber optics-straight light pipe, bent fiber
- Lasers; optical devices
- Transmission line sinusoidal steady state problems with short circuit, open circuit, and loaded ends; short-line limits as circuit approximations to capacitors and inductors
- Impedance and VSWR problems using the Smith chart; single-stub tuner
- Reflections from ends; driven and initial value problems
- Rectangular waveguides; TM and TE modes; cut-off
- Cavity resonators; group and phase velocity; dispersion relations; lasers
- Force problems in capacitive and inductive systems
- Ohm’s law for moving media; Faraday’s disk (homopolar generator); torque; equivalent circuit
- Torque-speed characteristics of rotating machines
- Radiation 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 properties
- Electric and magnetic fields from a point electric dipole; far-field solution; radiation resistance; effective dipole length; antenna gain
- Transmitting and receiving antennas; wireless and optical communications
- Wireless and optical communication problems
- Acoustic waves
- Acoustic wave boundary value problems
- Course review
Readings
- H/M = Haus, Hermann A., and James R. Melcher. Electromagnetic Fields and Energy . Englewood Cliffs, NJ: Prentice-Hall, 1989. ISBN: 9780132490207.
- SES #: R1 · TOPICS: Review of vector and integral calculus; cartesian, cylindrical, and spherical coordinate systems; e j(ωt-kz) complex notation; gradient, curl, and divergence · READINGS: 1.2-1.5, appendices B, C
- SES #: L2 · TOPICS: Derive boundary conditions; apply boundary conditions to surface charge and surface current problems · READINGS: 2.1
- SES #: L4 · TOPICS: The electric field, electric scalar potential, and the gradient; Poisson’s and Laplace’s equations; potential of point charge; Coulomb superposition integral · READINGS: 2.2
- SES #: L5 · TOPICS: Method of images · READINGS: 2.7
- SES #: L8 · TOPICS: Wave equation; Poynting’s theorem · READINGS: 1.3.2, 1.4, 1.6
- SES #: L9 · TOPICS: Oblique 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 media · READINGS: 5.3
- SES #: R10 · TOPICS: Lasers; applications to optics: polarization by reflection; totally reflecting prisms; fiber optics-straight light pipe, bent fiber · READINGS: 11.3.2
- SES #: R12 · TOPICS: Transmission line sinusoidal steady state problems with short circuit, open circuit, and loaded ends; short-line limits as circuit approximations to capacitors and inductors · READINGS: 5.2
- Demo: V(z,t), I(z,t) movies
- SES #: R14 · TOPICS: Impedance and VSWR problems using the smith chart; single-stub tuner · READINGS: 5.2.4, 10.6.4
- SES #: L13 · TOPICS: Reflections from ends; driven and initial value problems · READINGS: 5.2.1, 5.2.2, 9.2
- SES #: L14 · TOPICS: Rectangular waveguides; TM and TE modes; cut-off · READINGS: 5.4.1, 5.4.3
- SES #: R17 · TOPICS: Cavity resonators; group and phase velocity; dispersion relations; lasers · READINGS: 5.4.4, 10.7
- SES #: R18 · TOPICS: Force problems in capacitive and inductive systems · READINGS: 8.1, 8.3
- Film: Synchronous Machines
- SES #: L19 · TOPICS: Radiation 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 properties · READINGS: 6.1.3, 6.2, 6.3
- SES #: R22 · TOPICS: Electric and magnetic fields from a point electric dipole; far-field solution; radiation resistance; effective dipole length; antenna gain · READINGS: 6.3
- SES #: L21 · TOPICS: Transmitting and receiving antennas; wireless and optical communications · READINGS: 10.1
- SES #: L22 · TOPICS: Acoustic waves · READINGS: 12.1-12.3
- SES #: R25 · TOPICS: Acoustic wave boundary value problems · READINGS: 12.4
Sources
- Course catalogue ↗Historical OpenCourseWare
- MIT OCW calendar ↗
- MIT OCW syllabus ↗
- MIT OCW readings ↗
- Historical MIT OpenCourseWare offering. Named reading entries and schedule topics are automatically extracted from the linked source pages.