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See Links at end.
Ph101 Laboratory Manuals.
Ph104 Laboratory Manuals.
Ph304, Electrodynamics,
problem sets.
Ph410, Physics of Quantum
Computation, problem sets.
Ph206/501, Electrodynamics,
problem sets.
Ph501
course page.
Ph406, Nuclear and Elementary
Particle Physics, problem sets.
Archive of papers on Mechanics.
Archive of papers on E&M.
Archive of papers on Fluid Dynamics.
Archive of papers on Optics.
Archive of papers on Quantum Mechanics and Quantum
Information.
Archive of papers on Elementary Particle Physics.
Archive of papers on Particle Accelerators.
Archive of papers on Detectors for Elementary
Particles.
Several of the papers below are also available at the
LANL preprint arXiv.
The Helmholtz Decomposition and the Coulomb Gauge
(Apr 17, 2008). .ps version.
Static-Voltage Gauge
(Mar 25, 2008). .ps version.
What Does an AC Voltmeter Measure?
(Mar 16, 2008). .ps version.
Velocity Factor of an Insulated Two-Wire
Transmission Line,
(Mar 7, 2008). .ps version.
.xls velocity factor calculator.
Electron Trajectories in a Hall Thruster,
(Feb 27, 2008). .ps version.
Exact and Geometrical-Optics Energy
Trajectories in Twisted Beams, with Michael Berry
(Jan 15, 2008). J. Opt. A 10, 03005 (2008).
Flow of Energy from a Localized Source in a Uniform,
Anisotropic Medium,
(Dec 8, 2007). .ps version.
Radiation from Hertzian Dipoles in a Uniaxial
Anisotropic Medium,
(Nov 16, 2007). .ps version.
Relativity of Steady Energy Flow,
(Nov 3, 2007). .ps version.
"Hidden" Momentum in a Sound Wave,
(Oct 31, 2007). .ps version.
Energy Flow in a Moving Bimetallic Strip,
(Oct 28, 2007). .ps version.
Energy, Momentum and Stress in a Belt Drive,
(Oct 20, 2007). .ps version.
Currents in a Center-Fed Linear Dipole Antenna,
(June 27, 2007). .ps version.
Voltage Across the Terminals of a Receiving Antenna,
(June 25, 2007). .ps version.
Electric Guitar Pickups,
(May 6, 2007). .ps version.
Torque Analyses of a Sliding Ladder,
(May 6, 2007). .ps version.
Flow of Energy and Momentum in a the Near Zone
of a Hertizan Dipole,
(Apr 11, 2007). .ps version.
Flow of Energy and Momentum in a Coaxial Cable,
(Mar 31, 2007). .ps version.
Space Charge in Ionization Detectors,
with S. Palestini (Mar 25, 2007). .ps version.
Path Length of Muons Traversing an Arbitrary Volume,
with H. Jostlein (Mar 24, 2007). .ps version.
The Fields of a Pulsed, Small Dipole Antenna,
(Mar 16, 2007). .ps version.
Where Does the Power Become AC in an AC Power Source?,
(Feb 27, 2007). .ps version. [Help needed to explain
the missing factor of 2 in eq.(16).]
Permeable Shell in a Uniform External Field,
(Feb 24, 2007). .ps version.
Stabilization of Insect Flight
via Sensors of Coriolis Force,
(Feb 17, 2007). .ps version.
Galilean Transformation of Wave Velocity,
with J.L. Junquera
(Jan 14, 2007). .ps version.
Hexagonal Pencil Rolling on an Inclined Plane
(Nov 14, 2006). .ps version.
Path of Minimum Radiation,
Bruce Winstein (U. Chicago, Oct 2, 2006).
"Crossed-Field" and "EH" Antennas
Including Radiation from the Feed Lines
and Reflection from the Earth's Surface
(July 4, 2006). .ps version.
Electromagnetic Momentum of a Capacitor
in a Uniform Magnetic Field
(June 18, 2006). .ps version.
Cullwick's Paradox: Charged Particle on the Axis
of a Toroidal Magnet
(June 4, 2006). .ps version.
Momentum in a DC Circuit
(May 26, 2006). .ps version.
McKenna's Paradox: Charged Particle Exiting the
Side of a Solenoid Magnet
(Apr 12, 2006). .ps version.
Reflections of a (Skeptical) Experimental High-Energy
Physicist after Teaching a Course on Quantum Computation
(Feb 24, 2006).
Currents in a Conducting Sheet with a Hole
(Feb 22, 2006). .ps version.
Some Properties of Sourceless Wave Packets
(Feb 10, 2006). .ps version.
The Radiation Reaction Force and the Radiation
Resistance of Small Antennas
(Jan 21, 2006). .ps version.
Onoochin's Paradox
(Jan 1, 2006). .ps version.
Can a "Hidden-Variable" Quantum Theory Evade the
"No-Cloning" Theorem?
(Oct 6, 2005). .ps version.
Impedance Matching of Transmission Lines
(July 20, 2005). .ps version.
Accuracy of Measurements of a CP-Violating
Asymmetry (Mar 25, 2005). .ps version.
Classical Lifetime of a Bohr Atom, with J.D. Olsen
(Mar 7, 2005). .ps version.
Letter to the Editor (Feb. 2, 2005)
regarding
Einstein's boxes, by T. Norsen,
Am. J. Phys. 73, 164 (2005).
Radiation from an AC Voltage Source
(Jan 9, 2005). .ps version.
Can an Antenna Be Cut Into Pieces (Without Affecting
Its Radiation)?, with D.J. Jefferies
(Nov 10, 2004). .ps version.
A 10-frame animation of the near electric field
of a 3 λ / 2 dipole antenna.
Maxwell's Demon
(Oct 3, 2004). .ps version.
Scattering of a Plane Wave by a Small
Conducting Sphere,
(July 13, 2004). .ps version.
Radiation in the Near Zone of a Center-Fed
Linear Antenna,
(June 21, 2004). .ps version.
Radiation in the Near Zone of a Short, Center-Fed
Biconical Antenna,
(June 14, 2004). .ps version.
Radiation in the Near Zone of a Small Loop Antenna,
(June 7, 2004), with an Appendix on Hertz vectors.
.ps version.
A Paradox Concerning the Energy of A Dipole
in a Uniform External Field, with J. Castro
(May 3, 2004). .ps version.
Radiation in the Near Zone of a Hertzian Dipole,
(Apr 22, 2004). .ps version.
How to Fry an IGCT in 1 μs or Less,
(Apr 17, 2004). .ps version.
Radial Dependence of Radiation from a Bounded Source,
(Jan 25, 2004). .ps version.
Synchrotron-Cerenkov Radiation,
Letters to Science, vol. 303, p. 310 (2004).
Money Spinner or Loopy Idea,
Edwin Cartlidge, Science, 301, 1463 (2003).
Small Fractal Antennas,
(Dec 22, 2003). .ps version.
A Neutrino Horn Based on a Solenoid Lens,
(Dec 1, 2003). .ps version.
Magnetic Field in a Time-Dependent Capacitor,
(Oct 30, 2003). .ps version.
Bunching of Photons When Two Beams Pass Through a
Beam Splitter, with L.J. Wang
(Aug 17, 2003). .ps version.
Hertzian Dipole Radiation via the
Weizsäcker-Williams Method, with M.S. Zolotorev
(Aug 4, 2003). .ps version.
Using Conformal Maps to Explore the Potential
of Wire Grids, by T. Dimofte (July 28, 2003).
.ps version.
A Parallelogram Loop Antenna,
(May 28, 2003). .ps version.
Isotropic Radiators, with Haim Matzner
(Apr. 8, 2003). .ps version.
The Barnett Experiment with a Rotating Solenoid
Magnet, (Apr. 6, 2003). .ps version.
Electromagnetic Fields of a Rotating Shell
of Charge,
(Apr. 3, 2003). .ps version.
Notes on Electrostatic Wire Grids,
(Mar. 5, 2003). .ps version.
A Magnetic Linear Accelerator,
(Mar. 3, 2003). .ps version.
Capacitance of a Thin Conducting Disk and of
Conducting Spheroids,
(Feb. 25, 2003). .ps version.
Volume and Surface Area of an N-Sphere,
(Feb. 4, 2003). .ps version.
Gaussian Laser Beams via Oblate Spheroidal
Waves, (Oct. 19, 2002).
The Electric Potential of Particle Detectors with
Rectangular Cross-Section, with C. Lu (Oct. 9, 2002).
.ps version.
Conducting Ellipsoid and Circular Disk,
(Sept. 21, 2002). .ps version.
Conducting Spherical Shell with a Circular
Orifice,
(Sept. 21, 2002). .ps version.
Two Conducting Spheres at the Same Potential,
(Sept. 19, 2002). .ps version.
Magnetostatic Spin Waves, (Sept. 15, 2002).
.ps version.
An Electrostatic Wave, (July 28, 2002).
.ps version.
A Capacitor Paradox, (July 10, 2002).
.ps version.
Fluid Flow Velocity at a Wall, Alex McDonald
(June 24, 2002).
.ps version.
Green's Function for a Conducting Plane with a
Hemispherical Boss (Apr. 23, 2002).
.ps version.
Electromagnetic Field Energy
(Apr. 3, 2002).
.ps version.
"Hidden" Momentum in a Coaxial Cable
(Mar. 28, 2002).
.ps version.
Methods of Calculating Forces on Rigid
Magnetic Media
(Mar. 18, 2002).
Magnetic Force on a Permeable Wire
(Mar. 17, 2002).
.ps version.
Maximal Gravity at the Surface of an
Asteroid
(Feb. 18, 2002).
.ps version.
Accessing Phases of CKM Matrix Elements Via the Decay
B^0_d -> pi+ pi-
(Dec. 18, 2001).
.ps version.
Maximum Energy of Circular Colliders,
with Chris Tully
(Dec. 10, 2001).
.ps version.
A Slingshot Orbit
(Nov. 18, 2001).
.ps version.
Diamagnetic Levitation, with Bob Austin
(Nov. 15, 2001).
.ps version,
.mpg movie of a flying frog.
Floating gold in cryogenic oxygen.
An Off-Axis Neutrino Beam
(Nov. 6, 2001). .ps version.
3 x 3 Magic Squares with Duplicate Digits Allowed,
with Nancy Schaefer (Oct 13, 2001).
.ps version.
Leaky Capacitors,
with T.J. Maloney
(Oct 17, 2001; updated May 5, 2008). .ps version.
Vertical Oscillations of a Hanging Cable
(Oct 7, 2001). .ps version.
A Conducting Checkerboard
(Oct 4, 2001). .ps version.
Diople in Shell
(Oct 2, 2001). .ps version.
Small Oscillations of a Suspended Hoop,
with Alex McDonald (Oct 1, 2001). .ps version.
Uncertainties in the Measurement of the Momentum
and Position of an Electron
(Sept 20, 2001). .ps version.
Self Trapping of Optical Beams
(Apr 15, 2001). .ps version.
The Rolling Motion of a Disk on a Horizontal
Plane, with Alex McDonald (Mar 28, 2001).
.ps version.
To Construct a Square with Edges on Any Four Points,
with Owen Schaefer (Feb 11, 2001).
.ps version.
A Josephson Junction
(Dec 5, 2000; some work needed to clean this one up).
.ps version.
A Flapping Toy
(Nov 30, 2000).
.ps version.
Some Mechanics of Toys (Nov 29, 2000).
.ps version.
The Maximum Energy Attainable in a Betatron
(Nov 19, 2000).
.ps version.
Electron Bubbles in Liquid Helium
(Nov 12, 2000). .ps version. See also,
Nevis Summer
Workshop on Electron Bubble Particle Detectors.
Motion on a Torus
(Oct 21, 2000).
.ps version.
Free Precession
(Aug 10, 2000).
.ps version.
Negative Group Velocity
(July 23, 2000). Am. J. Phys. 69, 607 (2001).
.ps version.
Radial Viscous Flow between Two Parallel Annular
Plates (June 23, 2000).
.ps version.
Bessel Beams (June 17, 2000).
.ps version.
Maximum Height of Mud Thrown from a Wheel,
Alex McDonald (May 28, 2000).
.ps version.
Euler's disk and its finite time singularity,
by H.K. Moffatt, Nature 404, 833 (Apr 20, 2000).
A comment by A. Ruina (June 2000).
Polarization Dependence of Emissivity,
with D. Strozzi (Apr 3, 2000).
.ps version.
Resistance of a Disk
(Mar 31, 2000).
.ps version.
Axicon Gaussian Laser Beams (Mar 14, 2000),
.ps version.
.pdf version with high-res figures.
Transparencies with high-res figures.
Complex Functions and Electrostatics,
(Feb 28, 2000).
.ps version.
An Off-Center "Coaxial" Cable,
(Nov 21, 1999).
.ps version.
A Phased Antenna Array,
by Dan Marlow (Nov 11, 1999).
.ps version.
A Maxwellian Perspective on Particle
Acceleration,
with Max Zolotorev (updated Sep 7, 1999),
.ps version.
Time-Reversed Diffraction,
with Max Zolotorev (Sep 5, 1999).
.ps version.
Classical Radiation Processes
in the Weizsäcker-Williams Approximation, with Max Zolotorev
(Aug 25, 1999).
.ps version.
A Bounded Source Can't Emit a Unipolar Electromagnetic
Pulse, with Kwang-Je Kim, Gennady Stupakov and Max Zolotorev (May 1, 1999).
.ps version.
Slow Light (Apr 3, 1999);
Am. J. Phys. 68, 293 (2000).
.ps version.
Draft: Measurement of Pulsewidth via
Correlations in Intensity Fluctuations, with Max Zolotorev
(Mar 23, 1999).
.ps version.
Diffraction as a Consequence of Faraday's Law,
with Max Zolotorev (Jan 11, 1999); Am. J. Phys. 68, 674 (2000).
.ps version.
A Mechanical Model that Exhibits a Gravitational
Critical Radius (Dec 2, 1998). Am. J. Phys. 69, 617 (2001).
.ps version.
Magnetars (Nov 29, 1998);
Am. J. Phys. 68, 775 (2000).
.ps version.
The Transverse Momentum of an Electron in a Wave
(Nov 15, 1998). .ps version.
Nobel Sonoluminescence
(Nov 14, 1998); Popular Science, Feb. 1999, p. 8.
.ps version.
Laser Tweezers (Nov 13, 1998),
Am. J. Phys. 68, 486 (2000). .ps version.
Canonical Angular Momentum of a Solenoid Field
(Nov 13, 1998). .ps version.
The Charge Distribution on the Cathode of a Straw Tube
Chamber, with C. Lu (Oct 1, 1998).
.ps version.
The Fields in a Box with Resistive Walls,
(Apr 16, 1998). .ps version.
The Rare Decay K_L -> pi0 nu nubar, with Dan Marlow
(Apr 16, 1998). .ps version.
Classical "Dressing" of a Free Electron in a
Plane Electromagnetic Wave, with K. Shmakov (Feb 28, 1998).
.ps version.
The Weizsäcker-Williams Approximation to Trident
Production in Electron-Photon Collisions, with C. Bula
(Feb 28, 1998). .ps version.
Energy Balance in an Electrostatic
Accelerator, with Max Zolotorev (Feb 1, 1998)
.ps version.
A Relativistic Electron Can't Extract Net
Energy from a `Long' Laser Pulse,
(Aug 22, 1997). .ps version.
Physics in the Laundromat
(Aug 5, 1997); Am. J. Phys. 66, 209 (1998).
.ps version.
Limits on the Applicability of Classical
Electromagmetic Fields as Inferred from the Radiation Reaction,
(May 12, 1997; updated Jan. 29, 1998).
.ps version.
The Levitron (Apr 4, 1997).
.ps version.
The Fractal Dimension of a Ball of Aluminum Foil
(Mar 6, 1997). .ps version.
The Flyball Governor, by Dan Marlow
(Mar 5, 1997). .ps version.
The Radiofrequency Quadrupole (Feb 27, 1997).
.ps version.
Notes on Synchrotron Radiation
(Feb 11, 1997). .ps version.
Pitching Pennies into a Magnet
(Jan 15, 1997). .ps version.
The Fields Outside a Solenoid with a Time-Dependent
Current (Dec 6, 1996); Am. J. Phys. 65, 1176 (1997).
.ps version.
The Relation between Expressions for Time-Dependent
Electromagnetic Fields given by Jefimenko and by Panofsky and Phillips
(Dec 5, 1996); Am. J. Phys. 65, 1074 (1997).
.ps version.
Vector Gravity
(Dec 4, 1996); Am. J. Phys. 65, 591 (1997).
.ps version.
Group Velocity (Dec 4, 1996);
Am. J. Phys. 66, 656 (1998). .ps version.
The Electromagnetic Fields Outside a Wire That Carries
a Linearly Rising Current (Nov 28, 1996).
.ps version.
The Rolling Motion of a Half-Full Beer Can
(Nov 14, 1996). .ps version.
Distortionless Transmission Line
(Nov 11, 1996). .ps version.
Hyperdeuterons (Apr 22, 1996).
.ps version.
Noncontact Measurement of the Tension of a Wire,
with Mark Convery (Apr 14, 1996). .ps version.
Motion of a Point Charge Near an Electric Dipole
(Mar 19, 1996). .ps version.
Can an Electron Be at Rest?
(Aug 30, 1995); Am. J. Phys. 64, 1098 (1996).
.ps version.
Electromagnetic Field Momentum
(Aug 30, 1995); Am. J. Phys. 64, 15 (1996).
.ps version.
Accelerating Fluids
(May 4, 1995); Science 268, 1261 (1995).
.ps version.
Single-Bubble Sonoluminescence,
(Feb 2, 1995). .ps version.
Levitating Beachballs (Dec 6, 1994); Am. J. Phys.
68, 388 (2000). .ps version.
The Geostrophic Wind, by Will Happer
(Dec 9, 1993). .ps version.
Circular Orbits Inside the Sphere of Death
(Nov 8, 1993); Am. J. Phys. 66, 419 (1998).
.ps version.
Video clips of Bela Tabak's Thunderdome.
Six Ways to Measure CP-Violating Phases
in B Decays (Sep 20, 1992)
.ps version.
Maximum Likelihood Analysis of CP-Violating
Asymmetries (Sep 4, 1992)
.ps version.
Motion of a Leaky Tank Car
(Dec 4, 1989); Am. J. Phys. 59, 830 (1990).
.ps version.
Right and Wrong Use of the Lenz Vector for Non-Newtonian
Potentials, with C. Farina and A. Tort
(May 23, 1989); Am. J. Phys. 58, 540 (1990).
.ps version.
An RF Cavity in Which Transverse Fields Grow Linearly with
Radius (Mar 24, 1988). .ps version.
The Hawking-Unruh Temperature and Quantum Fluctuations in Particle
Accelerators, (72kB, Mar. 9, 1987). Published in the Proceedings of
the 1987 IEEE Particle Accelerator Conference, E.R. Lindstrom and L.S. Taylor,
eds., (Mar 16-19, 1987, Washington, D.C.).
.ps version.
Radiation from a Superluminal Source
(Nov 26, 1986); Am. J. Phys. 65, 1076 (1997).
.ps version.
The Helical Wiggler, with H. Mitter,
(Oct 12, 1986). .ps version.
The Laser Driven Vacuum Photodiode (Sep 26, 1986).
.ps version.
The Grating Accelerator
(Sep 14, 1984). .ps version.
Stress and Momentum in a Capacitor That Moves with
Constant Velocity
(Apr 21, 1984; updated Oct 4, 2007). .ps version.
Feynman Cylinder Paradox, with John Belcher
(1983; updated Apr 2002). .ps version.
The Guard Ring of a Streamer Chamber
(Oct 1, 1983). .ps version.
The Amp Clamp
(Apr 19, 1983). .ps version.
Transparencies from a colloquium:
Does Quantum Mechanics Require
Superluminal Connections?
(Dec 3, 1981). The answer is NO!
Cerenkov Radiation in a Dielectric
Wave Guide
(Sep 30, 1979). .ps version.
Self-Induced Transparency
(May 3, 1979). .ps version.
Wave Amplification in a Magnetic Medium
(May 1, 1979). .ps version.
The Force on an Antenna Array
(May 1, 1979; updated Oct 8, 2007). .ps version.
Electron Trajectories in a Vacuum Coaxial Cable
(April 17, 1979). Comment about Lorentz force accelerators (MPD's) added
Feb. 2008.
.ps version.
Neutral Pion Decay
(Sep 15, 1976). .ps version.
Polarization Precession
(Jan 14, 1970). .ps version.
Floating Wire Simulation of the Trajectory of a
Charged Particle in a Magnetic Field
(Sep 1, 1969). .ps version.
Ph101 Laboratory Manual,
Fall 2007.
Ph101 Laboratory Manual, Fall 1996:
Introduction to Ph101 Laboratory.
Lab 1, Precision Estimates.
Lab 2, Newton's First and Second
Laws for Linear Motion.
Lab 3, Motion in Two Dimensions.
Lab 4, The Behavior of a Simple
Pendulum and a Precision Measurement of g.
Lab 5, The Physics of Rotating
Bodies.
Lab 6, The Physics of Springs.
Lab 7, Physics in Collision.
Lab 8, Friction in Fluids.
Ph104 Laboratory Manuals.
Spring 2004.
Ph104 Laboratory Manual
Introduction.
Lab 1, Exploring Electrostatics
with an Electroscope.
Lab 2, More Studies with an
Electroscope.
Lab 3, Resistors, Capacitors,
DC Circuits, and RC Circuits.
Lab 4, e/m of the Electron,
Measurement of μ0.
Lab 5, Make and Test a Motor.
Lab 6, Oscilloscope, Signal Generator
and Filters.
Lab 7, RLC Circuits.
Lab 8, Geometrical Optics, Optical
Instruments.
Lab 9, Physical Optics: Interference
and Diffraction.
Lab 10, Diode Rectifier and
Transistor AC Amplifier.
Lab 11, AM Radio.
Instructions for
Laboratory Instructors.
Ph304, Electrodynamics, Problem
Sets. MKSA units are employed.
Set 1, .ps version.
Set 2, .ps version.
Set 3, .ps version.
Set 4, .ps version.
Set 5, .ps version.
Set 6, .ps version.
Set 7, .ps version.
Set 8, .ps version.
Set 9, .ps version.
Set 10, .ps version.
Set 11, .ps version.
Set 12, .ps version.
Midterm exam, 2002,
.ps version.
Midterm exam, 2003,
.ps version.
Final exam, 2002,
.ps version.
Final exam, 2003,
.ps version.
Ph410, Physics of Quantum
Computation.
Text/reference for the course is M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information (Cambridge U.P., 2000).
A compendium of research papers relevant to the course.
Ph206/501, Electrodynamics,
Lectures and Problem Sets.
In my opinion, the Graduate Preliminary Exam should cover the material of Lectures 1-16 (problem sets 1-8), while that of lectures 17-26 (sets 9-12) goes beyond the core minimum. Gaussian units are employed.
Lecture 1, Overview of
Maxwell's Equations; Electrostatics.
Additional examples:
Motion of a Point Charge Near an Electric Dipole.
On the Nature of the Molecular Forces
which regulate the Constitution of the Luminferous Ether, S. Earnshaw,
Trans. Camb. Phil. Soc. 7, 97 (1839).
Lecture 2, Conductors and
Dielectrics.
Lecture 3, Electrostatic
Energy, Maxwell Stress Tensor.
Additional examples:
A Paradox Concerning the Energy of A Dipole
in a Uniform External Field,
Energy Balance in an Electrostatic
Accelerator.
Lecture 4, Potential Theory:
Image Methods, 2-D Problems with Rectangular Boundaries.
Additional examples:
Green's Function for a Conducting Plane with a
Hemispherical Boss,
Two Conducting Spheres at the Same Potential,
Notes on Electrostatic Wire Grids.
Lecture 5, Potential Theory:
2-D Problems with Cylindrical and Spherical Boundaries.
Additional examples:
The Guard Ring of a Streamer Chamber,
A Conducting Checkerboard.
Lecture 6, Potential Theory:
3-D Problems with Cylindrical Boundaries; Conducting Needles, Spheroids,
Disks; Use of Conjugate Functions.
Additonal examples:
Capacitance of a Thin Conducting Disk and of
Conducting Spheroids,
Conducting Ellipsoid and Circular Disk,
Conducting Spherical Shell with a Circular
Orifice,
Using Conformal Maps to Explore the Potential of Wire
Grids.
Lecture 7, Steady Currents;
Magnetostatics.
Additional examples:
Currents in a Conducting Sheet with a Hole.
Resistance of a Disk,
The Laser Driven Vacuum Photodiode,
Floating Wire Simulation of the Trajectory of a
Charged Particle in a Magnetic Field,
The Helical Wiggler.
Lecture 8, Sources of the
Magnetic field; Magnetic Materials.
Additional examples:
Magnetic Field in a Time-Dependent Capacitor,
Methods of Calculating Forces on Rigid
Magnetic Media,
Diamagnetic Levitation,
The Levitron.
Lecture 9, Faraday's Law.
Additional examples:
Pitching Pennies into a Magnet,
The Amp Clamp,
Noncontact Measurement of the Tension of a Wire,
Electromagnetic Fields of a Rotating Shell
of Charge,
The Barnett Experiment with a Rotating Solenoid
Magnet.
Lecture 10, Electromagnetic
Energy, Momentum and Angular Momentum; Inductance.
Additional examples:
On the Transfer of Energy in the
Electromagnetic Field, J.H. Poynting, Phil. Mag. 175, 343 (1884),
Hidden Momentum in a Coaxial Cable,
Electromagnetic Field Energy,
Feynman Cylinder Paradox,
Canonical Angular Momentum of a Solenoid Field,
A Neutrino Horn Based on a Solenoid Lens.
McKenna's Paradox: Charged Particle Exiting the
Side of A Solenoid Magnet.
Lecture 11, Introduction to
Electromagnetic Waves.
Additional examples:
A Bounded Source Can't Emit a Unipolar Electromagnetic
Pulse,
The Transverse Momentum of an Electron in a Wave,
Classical "Dressing" of a Free Electron in a
Plane Electromagnetic Wave,
The Radiofrequency Quadrupole.
Lecture 17, Optics and
Difrraction; Gaussian Laser Beams. [I now think that a "short" course on
E&M should include some mention of Gaussian laser beams. Lecture 17 gives
more than a minimal introduction to this topic.]
Additional examples:
Diffraction as a Consequence of Faraday's Law,
Radial Dependence of Radiation from a Bounded Source,
Gaussian Laser Beams via Oblate Spheroidal
Waves,
Axicon Gaussian Laser Beams,
.pdf version with high-res figures.
Transparencies with high-res figures,
Time-Reversed Diffraction,
Bessel Beams.
Lecture 12, Plane Waves in
Dielectric Media.
Additional examples:
Group Velocity,
Laser Tweezers,
Slow Light,
Negative Group Velocity,
An Electrostatic Wave,
Magnetostatic Spin Waves.
Lecture 25, Lasers from a
Classical Perspective.
[Lectures 25 and 26 are extensions of Lecture 12 beyond the core cirriculum.]
Additional examples:
Wave Amplification in a Magnetic Medium,
Self-Induced Transparency,
Self Trapping of Optical Beams.
Lecture 26, Solitons.
Lecture 13, Plane Waves in
Conducting Media.
Additional examples:
Impedance Matching of Transmission Lines,
Distortionless Transmission Line,
An Off-Center "Coaxial" Cable,
The Grating Accelerator,
Polarization Dependence of Emissivity.
Lecture 14, Waves in Boxes and
Pipes.
Additional examples:
An RF Cavity in Which Transverse Fields Grow Linearly with
Radius,
Cerenkov Radiation in a Dielectric
Wave Guide.
Lecture 15, Sources of the
Waves -- The Retarded Potentials.
Additional examples:
The Relation between Expressions for Time-Dependent
Electromagnetic Fields given by Jefimenko and by Panofsky and Phillips,
The Electromagnetic Fields Outside a Wire That Carries
a Linearly Rising Current,
The Fields Outside a Solenoid with a Time-Dependent
Current.
Lecture 16, Multipole
Radiation, Antennas, Scattering.
Additional examples:
The Forces of Electrical
Oscillations
Treated According to Maxwell's Theory, H. Hertz, Nature, 39, 402 (1889).
Radiation in the Near Zone of a Hertzian Dipole,
Magnetars,
A Phased Antenna Array,
A Parallelogram Loop Antenna,
Small Fractal Antennas,
Isotropic Radiators,
Radiation from an AC Voltage Source,
Can an Antenna Be Cut Into Pieces (Without Affecting
Its Radiation)?.
Lecture 22b, The
Radiation Reaction.
Additional examples:
Limits on the Applicability of Classical
Electromagmetic Fields as Inferred from the Radiation Reaction,
Hawking-Unruh Radiation and Radiation of
a Uniformly Accelerated Charge,
The Radiation Reaction Force and the Radiation
Resistance of Small Antennas.
Lecture 23, Interaction
of Radiation with Matter -- Microscopic View.
Lecture 18, Special
Relativity. The 4-Potential of a Moving Charge.
Lecture 19, Other Force
Fields. Significance of Gauge Invariance. Fields of a Moving Charge.
Additional examples:
Vector Gravity.
Lecture 20, Relativistic
Radiation Effects: Bremsstrahlung. Synchrotron Radiation.
Additional examples:
Notes on Synchrotron Radiation,
Measurement of Pulsewidth via
Correlations in Intensity Fluctuations,
Classical Radiation Processes
in the Weizsäcker-Williams Approximation,
Hertzian Dipole Radiation via the
Weizsäcker-Williams Method,
The Weizsäcker-Williams Approximation to Trident
Production in Electron-Photon Collisions.
Lecture 21, Relativistic
Radiation Effects: Cerenkov Radiation. Transition Radiation.
Additional examples:
Cerenkov Radiation in a Dielectric
Wave Guide,
Observation of Interference between Cerenkov
and Synchrotron Radiation,
Radiation from a Superluminal Source,
Synchrotron-Cerenkov Radiation.
Lecture 22, Electromagnetic
Mass. Radiation Reaction.
Additional examples:
An exchange of letters on
electromagnetic field momentum.
Lecture 24, Mechanics and
Electromagnetism.
Additional examples:
Onoochin's Paradox.
Ph501 Problem sets:
Set 1, .ps version.
(For lectures 1 and 2).
Set 2, .ps version.
(For lectures 3 and 4).
Set 3, .ps version.
(For lectures 5 and 6).
Set 4, .ps version.
(For lectures 7 and 8).
Set 5, .ps version.
(For lectures 9 and 10).
Set 6, .ps version.
(For lectures 11 and 12).
Set 7, .ps version.
(For lectures 13 and 14).
Set 8, .ps version.
(For lectures 15 and 16).
[No solutions are given for Sets 9-12.]
Set 9 (For lectures 17 and 18).
Set 10 (For lectures 19 and 20).
Set 11 (For lectures 21 and 22).
Set 12 (For lectures 23 and 24).
Midterm exam, Oct. 2000,
.ps version.
Ph406, Nuclear and Elementary
Particle Physics, problem sets.
[without solutions]
Set 4 (March 1992).
.ps version.
Set 7 (April 1993).
.ps version.
Set 8 (April 1992).
.ps version.
Set 9 (April 1993).
.ps version.
Set 10 (May 1993).
.ps version.
Final Exam (May 1992).
.ps version.
Download
Aladdin Ghostscript to view .ps files.
Visit the
Tucows website for an extensive collection of browser utilities.
Gerard 't Hooft's site on
how to become a theoretical physicist in your "spare" time.
Download an interactive
Radiation Simulator,
by Tsumoru Shintake.
Version on my site.
Click on image near bottom of page. I recommend turning
off the auxiliary windows, and turning on "Plot Wavefront" under "View",
"Field Plot."
Note that you can set the velocity of the charge to be greater
than 1 => faster than light.
--- The classic textbook illustration of how yanking a charge causes radiation
can be nicely simulated by choosing "Setup", "Trajectory", Line", velocity = 0.1,
start = -0.05, stop = 0.05.
--- For a dipole radiator, try "Setup", "Trajectory", "Dipole Oscillation",
velocity = 0.8, amplitude = 0.02.
--- For Cerenkov radiation, try "Setup", "Trajectory", Line", velocity = 1.5,
start = -1.0, stop = 1.0. You may want to turn off "Plot Electric Field Lines"
for this.
A collection of Java applets
on physics,
Why an Antenna Radiates, by Ken Macleish.
Thinking about Physics, from U. Amherst.
Physics Central, from the APS.
MIT Physics 8.07, E&M, course page.
Harvard Physics 153, E&M, course page.
Chaos on the Web, Caltech PH161, by Michael Cross.
The Chaos Hypertextbook.
Applications of Classical Physics, Caltech PH136, by Roger Blandford,
Kip Thorne and David Stevenson.
Modern Problems in Classical Electrodynamics, by Charles A. Brau.
Elektrodynamik, by Martin Zirnbauer. Maxwell's
equations via chains and differential forms (2.4MB, in German).
.pdf version.
Other physics courses from U. Cologne.
Physics Problem of the Week, from David Morin.
Physics Questions/Problems, from Yakov Kantor.
Physics Problems by Akakii Melikidze.
The delightful
Math Pages includes a
Physics page.
Boston Area Undergraduate Physics Competition.
Physics Quiz by Juergen Giesen.
Visual Physics Question of the Week.
Physics Problems by University of Oregon Physics Students.
Duke Physics Challenges by Henry Greenside.
Physics of the Outdoors by Steven van Roode.
The Last Word by New Scientist magazine.
Physics Articles, from the Nobel Foundation.
General Interest Articles, from NIST.
Links to
Educational Sites, from LBNL.
ProSEDS. NASA web on power generation by a satellite tether.
The Great Magnet, the Earth. NASA web page on planetary magnetism.
When North Goes South. LANL web page on terrestrial magnetism.
The Sand Mouse Web Page.
GrayLit Network, access to US government technical reports.
The Museum of Hoaxes.
The Museum of
Unworkable Devices.
Ideal Scientific
Equipment.
"The Alternative
View" by John G. Cramer.
Quantum Philosopy Theories.
