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!