Optics II: Way of Matter (chem 249B)
1. Resonance: classical approach
Material equations
Optical wave in isoptropic media
Dispersion of light
Origin of refractive index
Optical resonance from classical perspective pdf
Absortion of light
Bougert-Lambert-Beer law from classical perspective pdf
2. Resonance: pre-quantum mechanical approach
Planck's constant and photoelectric effect pdf
Planck formula
Planck formula by Bohr and Einstein pdf
Connection of Einstein’s coefficients with macroscopic parameters of media
Bougert-Lambert-Beer law from quantum perspective pdf
h dimensionality and de Broglie wavelength pdf
3. Resonance: quantum mechanical approach
Coordinate, energy and momentum: classical approach
Wavefunction, qunatum version of Newton's second law
Free particles without boundaries
Translation of partical in the box pdf
Degrees of freedom: translation, rotation and vibration
Shrodinger equation for rotor and its solutions
Wavefunction and Lagrange polynomials
Rotor energies
Quantum numbers and selection rules pdf
Vibrations and harmonic oscillator
Shrodinger equation for harmonic oscillator and its solutions Wavefunction.
Hermite polynomials pdf
Harmonic oscillator energies pdf
Rotation and vibration coupling pdf
Jablonski diagram
Franck-Condon Principle pdf
4. Time-dependent perturbation: theory of everything
Time-dependent Shrodinger equation
Time evolution of wavefunction and predicting the future
Optical resonance from quantum mechanical perspective
Fermi Golden Rule
5. Fourier transformation: (x,p) and (w,t) languages, uncertanty principle
Classical and quantum understanding of spectral width
Energy language and time language. Space and momentum.
Uncertainty priniciple form classical and quantum perspectives
Disperssion and diffraction use for spectral expansion
6. Light, chirality and structure
Classical approach to optical anisotropy
Polarization state of light and how to make it chiral
Natural rotation of polarization. Phenomenological approach by Fresnel.
Optical activity and dichroism
7. Elastic light scattering
Huygens principle and scattering by particulate matter, Rayleigh-Tyndall scattering
Understanding the directionality of dipole emission
The wonders of Mie theory
8. Inelastic scattering and near-field: the role of energy and momentum
Photoeffect. Einstein's doubts.
Rutgherford expeirments and Thomson scattering
Compton experiments and Compton scattering
Raman expeirments
Mandelshtam-Landsberg experiments and theory. Combinational scattering of light: Stokes (Raman) and anti-Stokes scattering.
Vibrational vs electronic Raman scattering
Concept of optical antenna
Dielectric function, field localization and momentum expansion
9. Spectroscopy of unequilibrated systems in ultrafast time domain
Einstein coefficients and negative absortion coefficient.
Physics of inverse population
Boltzman thermodynamics for two vs three level system
Principle of qunatum light amplifiers: solid state lasers, gas lasers, dye lasers
Idea of Q-switch
Generation of ultrafast optical pulses: mechanical analogue of mode synchronization and locking
General principle of time-resolved spectroscopy
Brief trip into nonlinear optics: idea of parametric process on example of pendulum
Second harmonic generation, optical parametric amplification, white light continuum, difference frequency generation
Pump-probe and its applications
THz time-domain spectroscopy
Time-resolved emission techniques
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