ASTRONOMY 300B:
Astronomy and Astrophysics, Part II
COURSE OUTLINE
(Probably will be
modified as we go along)
1. Random Walks
Binomial, poisson, gaussian
distributions; mean, variance
Propagation of Errors
2. Radiative Transfer
Basic terminology: Inu,Jnu,Fnu, etc
flux from a uniformly bright sphere
equation of radiative transfer
optical depth, mean-free-path, source
function
radiation force
Eddington limit
Lyman limit absorption
Thermodynamic equilibrium
Blackbody radiation: Planck Law, Stefan-Boltzman Law,Wien
displacement law
T(Brightness), T(color), T(eff)
Einstein Coefficients, detailed
balance
Scattering; Rosseland approximation
3. Review of Electricity and
Magnetism
Basic Laws of EM forces; Lorentz
force
Vector arithmetic and vector calculus
-- formalism
Maxwell's Equations
Conservation of charge
Poynting Vector; Poynting Theorem
Wave equations; complex solutions
Phase, group velocity
Fourier transforms
4. Polarization
Definitions, descriptions:
elliptical, linear, circular
Stokes parameters
Sources of polarization
Polarimeters
Polarizers, birefringent materials,
Wollaston prisms, retarders
5. EM Potentials: A, f
Gauge transformations
retarded potentials
Lienard-Wiechert Potentials (moving
charge)
velocity and radiation fields
Larmor's formula
dipole approximation, dipole moment,
emitted power
6. Thomson Scattering
power formula
Thomson cross-section: as function of Omega,
polarization
7. Radiation Reaction force
Equation of motion
Radiation from a harmonically bound
particle: undriven, driven
Rayleigh scattering
Absorption lines: curve of growth
Observations of UV absorption lines
in ISM
8. Special relativity
Intertial reference frame, events,
observers
Galilean transformations
Lorentz transformations
Length contraction, time dilation
Relativity of simultaneity
Cosmic Ray meson decay
Transformation of velocities,
accelerations
Aberration of starlight
Beaming
Doppler Effect
Proper time, space-time diagrams
Size constraints from variability
Superluminal expansion
4-vectors, tensors,
covariant/contravariant vectors, notation
The Minkowski metric
4-current, 4-potential
Transformation of Maxwell's
equations, B, E-fields
Field of a relativisitically moving
charge
Bessel Functions
Relativisitic Mechanics: Emission
from relativistic, accelerating particle
Transforming the equation of
radiative transfer
Lorentz invariants
dipole of Cosmic Microwave Background
Radiation, the Earth's motion, Virgo-centric infall, The Great
Attractor
9. Bremsstrahlung
Qualitative picture
Emission from a single charge
Gaunt factors
Thermal bremsstrahlung: spectrum
free-free absorption
X-ray observations of halos of Early
type galaxies
hot intracluster medium in
clusters of galaxies, cooling flows
Relation of hot ICM and galactic HI
10. Cyclotron and Synchrotron
Helical motion
power of cyclotron
radiation from charge in B field
spectrum of synchrotron vs cyclotron
spectrum for power law energy
distribution of electrons
polarization
synchrotron self-absorption
extragalactic radio sources: normal
galaxies, radio galaxies,
high redshift radio galaxies, active
nuclei, jets
11. Compton Scattering
Compton wavelength
Klein-Nishima cross-section
Inverse Compton scattering
Compton heating
the Compton catastrophe
Spectrum of inverse Compton radiation
12. Color and Light in Nature
Rainbows, glories, the green flash,
other
related natural phenomena
Suggestions for additional topics
are welcome!