SES # | TOPICS | READINGS |
---|---|---|

I. Maxwell's equations | ||

R1 | Review of vector and integral calculus; cartesian, cylindrical, and spherical coordinate systems; e^{j(ωt-kz)} complex notation; gradient, curl, and divergence | 1.2-1.5, 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 |

R2 | 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 | |

L2 | Derive boundary conditions; apply boundary conditions to surface charge and surface current problems | 2.1 |

R3 | Boundary 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 |

R4 | Problem solutions using differential form of Maxwell's equations: surface and volume charged or current carrying planar layer, cylinder and sphere | |

L4 | The electric field, electric scalar potential, and the gradient; Poisson's and Laplace's equations; potential of point charge; Coulomb superposition integral | 2.2 |

R5 | The electric dipole (potential and electric field); simple problems using the Coulomb superposition integral (line charge, ring of line charge, disk of surface charge) | |

L5 | Method of images | 2.7 |

R6 | Method 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 |

L7 | Conservation of charge boundary condition; Maxwell capacitor; magnetic dipoles and circuits; reluctance | |

II. Plane waves | ||

L8 | Wave equation; Poynting's theorem | 1.3.2, 1.4, 1.6 |

R8 | Sinusoidal steady state; normal incidence on a perfect conductor and a dielectric Demo: plane wave movies | 5.1 |

L9 | 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 | 5.3 |

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 |

R10 | Lasers; applications to optics: polarization by reflection; totally reflecting prisms; fiber optics-straight light pipe, bent fiber | 11.3.2 |

R11 | Lasers; 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 |

R12 | Transmission line sinusoidal steady state problems with short circuit, open circuit, and loaded ends; short-line limits as circuit approximations to capacitors and inductors | 5.2 |

L11 | Gamma plane; smith chart; voltage standing wave ratio (VSWR); λ/4 transformer Demo: | 5.2.4, 10.6.4 |

R13 | Quiz 1 review | |

Q1 | Quiz 1 | |

R14 | Impedance and VSWR problems using the smith chart; single-stub tuner | 5.2.4, 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 |

L13 | Reflections from ends; driven and initial value problems | 5.2.1, 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 | |

L14 | Rectangular waveguides; TM and TE modes; cut-off | 5.4.1, 5.4.3 |

R17 | Cavity resonators; group and phase velocity; dispersion relations; lasers | 5.4.4, 10.7 |

IV. Fields and forces | ||

L15 | Dielectric waveguides Demo: evanescent waves | 5.4.2, 11.3 |

R18 | Force problems in capacitive and inductive systems | 8.1, 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 |

R19 | Ohm's law for moving media; Faraday's disk (homopolar generator); torque; equivalent circuit | |

L17 | Synchronous rotating machines Film: | |

L18 | Self-excited electric and magnetic machines Demo: H/M 7.7.1 van de Graaff and Kelvin generators (video); self-excited commutator machines | |

R20 | Quiz 2 review | |

Q2 | Quiz 2 | |

R21 | Torque-speed characteristics of rotating machines | |

V. Antennas and radiation | ||

L19 | 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 | 6.1.3, 6.2, 6.3 |

R22 | Electric and magnetic fields from a point electric dipole; far-field solution; radiation resistance; effective dipole length; antenna gain | 6.3 |

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 |

L21 | Transmitting and receiving antennas; wireless and optical communications | 10.1 |

R24 | Wireless and optical communication problems | |

VI. Acoustics | ||

L22 | Acoustic waves | 12.1-12.3 |

R25 | Acoustic wave boundary value problems | 12.4 |

L23 | Course review |