Advanced Classical Optics
Advanced Classical Optics
Notes and problems from UofT PHY485H1F 2012
About the Book
This book is based on my lecture notes for the Fall 2012, University of Toronto Advanced Classical Optics course (PHY485H1F), taught by Prof. Joseph H. Thywissen.
About the Author
Table of Contents
- Copyright
- Document Version
- Dedication
- Preface
- Contents
- List of Figures
- Course Notes
- 1 Matrix methods in Geometric Optics
- 1.1 Missing content
- 1.2 Matrix methods
- 1.2.1 Free propagation
- 1.2.2 Refraction off of a flat lens
- 1.2.3 Refraction of a curved surface
- 1.2.4 ABCD matrix for a lens
- 1.2.5 Properties of the transfer matrix
- 1.3 Problems
- 2 Geometric optics: Rays and and optics with graded index
- 2.1 Reading
- 2.2 Eikonal equation. Where are the rays in Maxwell's equations?
- 2.3 Poynting vector
- 2.4 Ray equation
- 2.5 GRIN (Graded Refractive INdex) optics
- 2.6 Trap a ray
- 2.7 Gradium Lens
- 2.7.1 Phase delay in GRIN lens?
- 2.8 Ray equation and action minimization
- 2.9 Problems
- 3 Diffraction
- 3.1 Context
- 3.2 Diffraction
- 3.3 A calculated example: pinhole
- 3.4 Fresnel and Fraunhofer diffraction (non-pinhole apertures)
- 3.5 Fresnel diffraction from an edge
- 3.6 Problems
- 4 Coherence
- 4.1 Interference
- 4.2 Zoology of interferometers
- 4.3 Lloyd's interferometer
- 4.4 Types of coherence
- 4.4.1 Longitudinal coherence
- 4.4.2 Transverse coherence
- 4.5 More general mutual coherence
- 4.6 Temporal Coherence (cont.)
- 4.7 Spatial coherence
- 4.8 Spatial Coherence (cont.)
- 4.9 What's so special about this pathlength difference?
- 4.10 Continuum spatial distribution
- 4.11 Full derivation of the Van Cittert-Zernike theorem
- 4.12 Problems
- 5 Multiple interference
- 5.1 Multiple interference
- 5.2 Fabry-Perot interferometry
- 5.3 Fabry-Perot Etalon review
- 5.4 Cavity (or Etalon) \(Fabry-Perot\) as an oscillator
- 5.5 Diffraction grating interferometry
- 5.6 Problems
- 6 Lasers and Gaussian beams
- 6.1 Lasers
- 6.2 Laser pump rates
- 6.3 Gaussian modes
- 6.4 Non-dimensionalized comparison of QM and spatial light equations
- 6.5 Solving the homogeneous paraxial wave equation
- 6.6 Guoy phase shifts and higher order Gaussian modes
- 6.7 Spectral line width (coherence time) of laser
- 6.8 Number of photons per free space mode
- 6.9 Problems
- Course prep
- 7 Derivation of Fresnel equations for mixed polarization
- 7.1 Motivation
- 7.2 Setup
- 7.3 Solving for the Fresnel equations
- 8 Some worked problems from ``Modern Optics'', the vectoral nature of light
- Appendixes
- A Mathematica notebooks
- B Cosine Transforms
- B.1 Motivation
- C Possible content for formula sheet (up to midterm)
- C.1 Rules
- C.2 Geometric optics
- C.3 Misc trig
- C.4 Eikonal
- C.5 Wave relations
- C.6 Electrodynamics
- C.7 Misc calculus results
- C.8 Diffraction
- C.9 Coherence
- C.9.1 Temporal coherence
- C.9.2 Spatial coherence
- C.10 Multiple interference
- C.10.1 Fabry-Perot
- C.10.2 Diffraction grating interferometry
- C.11 Lasers
- C.12 Gaussian beams
- C.13 Fourier transforms
- D Planck blackbody summation
- D.1 Motivation
- D.2 Guts
- E Vector identities
- E.1 Curl of curl
- F Fowles optics typos
- G Typos in the course text
- Bibliography
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