Chapter 9
Absorption of Radiation


Rayleigh theory (Sect 9.1)

Free SHO
Driven SHO
W/O phasors
Manipulate
To obtain
Oscillator strength
Rayleigh & Thomson scattering
Resonance fluorescence
Recap
Fluorescence
  • General case
  • Radiation losses
  • Index of refraction
  • Forced Oscillation: Macmillan Encyclopedia
  • Line profiles (Sect. 9.4)

    Absorption
    Lorentzian profile
    Area under
    Integration
    Wide wings Lorentzian/Gaussian
    Natural, collisional broadening
    Doppler broadening
    Formula
    Numerical examples
    Convolution of two Gaussians
    Complete the square
    Fourier transforms
    Two Gaussians
    Two Lorentzians
    Gaussian & Lorentzian (Voigt)
    Inverse Lorentzian
    Application
    Summary

    Astrophysical applications (Sect. 9.5)

    Absorption
    Bouguer's law
    Absorption spectra
    Solar spectrum
    Equivalent width
    Saturation
    Self absorption
    General line shape
    Column densities
    Curve of growth
    with Voigt profile
    Abundances
    Examples
    Criteria

    Stellar Classifications (Sect. 9.5.2)

    Boltzmann population
    Temperature definitions
    Excitation temperature determination
    The grand fact
    Ladies of the observatory
    Annie Cannon and Cecilia Payne
    Background
    Iron?
    Stellar classifications
    Relation to temperature
    Study of H and K lines
    Ca+ H and K lines
    Cosmic abundances
    Convective model
    Ba and Zr

    Einstein coefficients(Sect. 9.6)

    Blackbody radiation
    Einstein formulation
    (continued)
    In modern notation
    Einstein's AB paper in Translation (pdf)
    Planck's summation
    Emission and absorption
    MB, BE and FD statistics
    Photon gas


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    Diverse

    Lorentz-Drude theory

    Radiated Power
    Damped Harmonic Oscillator
    Special cases 1 and 2
    Special case 3, real roots
    Complex roots
    Resulting equation
    SHO lifetime
    Lamb shift analog
    Oscillator strengths
    Application to Ca II
    Classical and QM
    Emission and absorption
    Formulae
    Line strengths

    Hydrogenic dipole matrix elements

    Angular and radial portions
    Six-J symbols
    Radial integral
    Specific calculations
    Multiplet strengths
    Lifetimes
    Formulae
    Summed A's, n=2,3
    Summed A's, n=4
    Branching fractions
    Level diagram
    Decay curve
    Tabulations