AY 201 Fall 2009 Syllabus ======================== 1. Radiation concepts and Radiative Transfer a. The Electromagnetic Spectrum (2 lectures; RL 1.1, 1.2, 1.3, 2.1, 2.2, 2.3; Shu 1,2,11) -Use Maxwell's equations to derive wave propagation, dispersion relation -Frequency, wavelength, energy -Definitions of radio spectrum -Poynting vector: requirement of E propto R^-1 for radiation -Inverse square law -Power spectral density -Sampling theorem c. Radiative Transfer (2; RL 1.4 ; Shu 3,4,5) -Specific intensity and its moments -Radiation pressure -Emission, Absorption, Transfer Equation, Optical depth, Source function -Plane parallel atmospheres d. Blackbody radiation (2; RL 1.5; Shu 6) -Kirchoff's Law -Thermal equilibrium -Planck function -Formation of emission and absorption lines -Limb darkening e. Scattering (2; RL 1.7, 1.8) -Coherent/incoherent scattering -Isotropic/anisotropic -Mean free path -Combined scattering & absorption -Grey atmosphere -Eddington approximation -Rosseland mean opacity f. Polarization (1; RL 2.4; Shu 12 ) -Polarized waves -Stokes parameters -Polarization of incoherent radiation -Poincare sphere -Optical polarization elements -Polarization and scattering 2. Radiation from free electrons a. Dipole radiator (2; RL 3.1, 3.2, 3.3; Shu 13, 14) -Retarded time -Lienert-Weichert potential -Acceleration leads to radiation -Near-field/far-field -Larmor's formula -Dipole approximation -Spectral properties of dipole radiation -Quadrupole approximation b. Thomson scattering (1; RL 3.4, 3.5, 3.6) -Driven oscillators -Thomson cross-section -Driven, damped oscillator -Radiation reaction force -Rayleigh scattering -Lorentz profile c. Brehmsstrahlung (1; RL 5; Shu 15) -Impact parameter approximation and limits -Gaunt factor -Thermal brehmsstrahlung -Thermal absorption of brehmsstrahlung d. Special relativity (1; RL 4.1, 4.6, 4.8) -Lorentz transformations -Velocity transformations -Relativistic beaming -Doppler effect -Lorentz invariance of power -Relativistic Larmor formula -Emitted and received power e. Synchrotron radiation (2; RL 6; Shu 16, 17, 18, 19 ) -Cyclotron frequency -Integrated power from synchrotron source -Synchrotron spectrum -Spectrum of power-law electrons -Angular dependence of synchrotron radiation -Linear polarization from synchrotron -Formula solution for synchrotron -Self-absorption f. Inverse Compton (2; RL 7) -Photon momentum -Quantum cross-sections -Inverse Compton radiation -Integrated IC effect for power-law electrons -Relationship to synchrotron radiation -IC spectra -y-parameter for repeated scattering -Relativistic/NR cases -Kompaneets equation -SZ effect g. Plasma effects (1; RL 8; Shu 20) -Wave propagation in plasma -Plasma frequency -Group & phase velocity -Dispersed pulses, dispersion measure -Faraday rotation -Scattering by turbulent plasma -Depolarization effects 3. Bound-free, Bound-bound processes a. Einstein coefficients (1; RL 1.6) -Spontaneous emission -Absorption -Stimulated emission -Einstein relations -Detailed balance -Einstein-Milne relations for H-+hv <--> H + e- b. Atomic structure and transitions (2; RL 9, 10; Shu 21, 22) -Order of magnitude considerations -Central field approximation -Hydrogen-like atomic structure -Selection rules -Recombination lines -Bound-bound absorption cross section -Bound-free absorption cross section -Natural line width -Doppler broadening c. Spin (1; RL 9.4 ; Bradt 11) -Magnetic moment -Hydrogen spin-flip transition -Zeeman Effect d. Molecular spectra (1; RL 11) -Rotation, vibration, electronic -Energy levels -Dipole approximation for rate calculation -Excitation of molecular H2 -Carbon monoxide -Critical density -Ro-vibrational spectra -Partition function e. Radiation from dust (1) -Absorption, emission, scattering efficiencies -Geometric optics limit -Rayleigh limit -General extinction -Selective extinction -Emissivity of dust in RJ tail f. Masers (1) -2+ level system -Population inversion -Pump efficiency -Unsaturated, saturated masers -Maser angular size -Maser line width growth RL=Radiative Process in Astrophysics by Rybicki & Lightman Shu=Radiation by Shu