Classical and Modern Optics
Posted here are my notes for a course in optics at the advanced undergraduate level. Caveat emptor: I
believe these notes to be of high quality, but they are not “mature” yet in the
sense that there may still be many typos in the manuscript. I will put corrections in
as I find them, and you can always contact me
if you have corrections or comments.
Recent changes are posted here.
You can download the notes here as one big file: (pdf, 28MB).
This is a pdf file that includes some animations in the document; these only play correctly
with Acrobat Reader (OS X's Preview.app does not play them, for example).
Instructors may contact me for a version with
solutions to problems included.
If you use these notes for your class, please let me know!
Topics Covered:

Linear Algebra (Review)

Ray Optics: Fermat's Principle, Paraxial and Matrix Optics, Resonator Stability

Fourier Analysis: Fourier Series, Fourier Transforms, Applications in Optics, Delta Function

Electromagnetic Theory: Maxwell Equations in Vacuum and Dielectrics, Intensity, Monochromatic Waves, Complex Notation, Plane Waves, Wave Impedance

Interference: Superpostion of Waves, Interferometers, Stokes Relations

Gaussian Beams: Paraxial Wave Equation, Gaussian Beam Solution, ABCD Law, HermiteGaussian Beams

FabryPerot Cavities: Planar Cavities, Damping, Finesse, SphericalMirror Cavities

Polarization: Polarization Ellipse, Jones Formalism, Coordinate Transformations, Normal Modes, Polarization Materials

Fresnel Relations: Waves at a Dielectric Interface, Internal Reflections, Waves at a DielectricConductor Interface, Propagation in a Conducting Medium

Thin Films: ReflectionSummation Model, Matrix Formalism, Optical Coating Design

Fourier Analysis II: Convolution, Error Analysis, Central Limit Theorem, Random Walk, Green's Functions, Spectral Transmission

Fourier Optics: Wave Propagation, Fraunhofer Diffraction, Fresnel Diffraction, Spatial Filtering, Holography

AcoustoOptic Diffraction: RamanNath Diffraction, Bragg Diffraction

Coherence: WienerKhinchin Theorem, Optical WienerKhinchin Theorem, FTIR Spectroscopy, Visibility, Coherence Time

Laser Physics: Pumps, Gain Media, Simple Laser Models, LightAtom Interactions, Einstein Rate Equations, Light Amplification, Pumping Schemes, Gain Coefficient, CW Output, Pulsed Output, Laser Spiking, QSwitching, Cavity Dumping, Mode Locking

Dispersion and Wave Propagation: KramersKronig Relations, Group Velocity, Pulse Spreading, Slow and Fast Light

Classical LightAtom Interactions: Polarizability, Plasma Model, Lorentz Model, Oscillator Strength, Drude Model, Atom Optics, Dipole Force, Radiation Pressure, Laser Cooling