This is an archival listing of my notes from 2012.

December 17, 2012 2010 q5 Gaussian beam problem.December 15, 2012 Fraunhofer diffraction pattern for four circular aperatures

December 07, 2012 Midterm review. Lloyd's mirror

December 06, 2012 Number of photons per free space mode

December 06, 2012 Spectral line width (coherence time) of laser

December 06, 2012 Problem set. Gaussian Beams

December 02, 2012 Guoy phase shifts and higher order Gaussian modes

December 01, 2012 Fresnel form approximate solution to paraxial wave equation

November 27, 2012 Solving the homogeneous paraxial wave equation

November 26, 2012 A condition for divisibility by three

November 23, 2012 vector identities

November 21, 2012 Planck blackbody summation

November 21, 2012 Gaussian modes

November 15, 2012 Problem Set 3. Multiple Interference

November 10, 2012 Cosine Transforms

November 08, 2012 Lasers

November 07, 2012 Multiple interference (cont.)

November 07, 2012 Proof of Fourier transform convolution theorem

November 02, 2012 Cavity as an oscillator

October 31, 2012 Fabry-Perot interferometry

October 29, 2012 Possible content for formula sheet

October 24, 2012 Multiple interference

October 23, 2012 Problem Set 2, Diffraction and Coherence

October 19, 2012 Spatial Coherence

October 17, 2012 Spatial Coherence

October 11, 2012 Mathematical treatment of coherence

October 11, 2012 Coherence (cont.)

October 09, 2012 Concave reflection and paraxial approximation

October 08, 2012 convex lens geometry and the paraxial approximation

October 06, 2012 Derivation of Snell's law using Fermat's theorem

October 04, 2012 Coherence

October 04, 2012 From first attempt at problem set 1. Thin lens geometric optics

October 04, 2012 Problem set 1. Geometric Optics

October 02, 2012 Fresnel diffraction

September 27, 2012 Diffraction (cont.)

September 26, 2012 Diffraction

September 26, 2012 GRIN (Graded Refractive INdex)

September 26, 2012 Geometric optics: Rays

September 26, 2012 Matrix methods in Geometric Optics

Sept 25, 2012 Derivation of Fresnel equations for mixed polarization

Sept 12, 2012 Some worked problems from ``Modern Optics'', the vectorial nature of light

Sept 2, 2012

Work through the plane wave solution to Maxwell's equation in linear isotropic charge free media without boundary value constraints. I may have attempted to blunder through this before, but believe this to be more clear than any previous attempts. What's missing is relating this to polarization states of different types and relationships to Jones vectors and so forth. Also, it's likely possible to express things in a way that doesn't require taking any real parts provided one uses the pseudoscalar instead of the scalar complex imaginary appropriately.

Jul 14, 2012 Apr 29, 2012 Steady state velocity profile of stirred cup of non-bottomless coffee.

Apr 29, 2012 Surface for spinning bucket of water.

Apr 24, 2012 Spin down of coffee in a bottomless cup.

Apr 21, 2012 Continuum mechanics fluids review.

Apr 21, 2012 Continuum mechanics elasticity review.

Apr 10, 2012 Flow between infinite moving inner cylinder and outer cylinder.

Apr 9, 2012 Couette flow of a viscous incompressible fluid.

Apr 4, 2012 Putting the stress tensor (and traction vector) into explicit vector form.

Apr 4, 2012 Thermal stability.

Apr 3, 2012 A Fourier series refresher.

Mar 31, 2012 Channel flow with step pressure gradient

Mar 29, 2012 Stability.

Mar 28, 2012 Asymptotic solutions of ill conditioned equations.

Mar 23, 2012 Boundary layers and stream functions. The Blasius problem.

Mar 23, 2012 Problem Set 3. Velocity scaling, non-dimensionalisation, boundary layers.

Mar 21, 2012 Scaling to setup to solve the boundary layer problem.

Mar 21, 2012 Classical Mechanics Euler Angles

Mar 16, 2012 Impulsive flow. Boundary layers. Oscillatory driven flow.

Mar 16, 2012 Geometric Algebra. The very quickest introduction.

Mar 14, 2012 Midterm reflection.

Mar 14, 2012 Boundary Layers. Time dependent flow.

Mar 9, 2012 More on surface tension and Reynold's number.

Mar 7, 2012 Non-dimensionality and scaling.

Mar 7, 2012 Rigid body motion.

Mar 6, 2012 Inclined flow without constant height assumption. Setting up the problem, but not actually solving it.

Mar 2, 2012 Problem Set 2. Rectilinear flow with pressure gradient. Two layer flow driven by moving surface.

Mar 2, 2012 Hydrostatics. Surface normals and tangent vectors.

Mar 1, 2012 Steady state inclined flow down a plane of two layers of incompressible viscous fluids.

Mar 1, 2012 Steady state inclined flow down a plane of two layers of incompressible viscous equal density fluids.

Feb 29, 2012 Phase Space and Trajectories.

Feb 27, 2012 Potential due to cylindrical distribution.

Feb 24, 2012 Potential for an infinitesimal width infinite plane. Take III

Feb 19, 2012 Attempts at calculating potential distribution for infinite homogeneous plane.

Feb 17, 2012 Flow in a pipe. Gravity driven flow of a film.

Feb 15, 2012 Worked examples of unidirectional Navier-Stokes solutions.

Feb 12, 2012 Flow in a pipe. Gravity driven flow of a film.

Feb 11, 2012 Runge-Lenz vector conservation

phy354 lecture notes on the Runge-Lenz vector and its use in the Kepler problem.

Feb 10, 2012 Navier-Stokes equation.

Feb 8, 2012 Newtonian fluids. Mass conservation. Constitutive relation. Incompressible fluids.

Feb 8, 2012 Problem Set 1. Stress, Strain, Traction vector. Force free equilibrium.

Feb 3, 2012 Phasor description of elastic waves. Fluid dynamics.

Feb 1, 2012 P-waves and S-waves.

Jan 27, 2012 Compatibility condition and elastostatics.

Jan 27, 2012 Infinitesimal rotations.

Derive the cross product result for infinitesimal rotations with and without GA.

Jan 25, 2012 Constitutive relationship.

Jan 24, 2012 PHY354 Advanced Classical Mechanics. Problem set 1.

Jan 20, 2012 Strain tensor components.

Jan 18, 2012 Strain tensor review. Stress tensor.

Jan 13, 2012 Introduction and strain tensor.

Jan 11, 2012 Overview.

Jan 3, 2012 Derivative recurrence relation for Hermite polynomials.

Jan 1, 2012 Induction for Nth derivative of a product

October 11, 2012 Mathematical treatment of coherence

October 11, 2012 Coherence (cont.)

October 09, 2012 Concave reflection and paraxial approximation

October 08, 2012 convex lens geometry and the paraxial approximation

October 06, 2012 Derivation of Snell's law using Fermat's theorem

October 04, 2012 Coherence

October 04, 2012 From first attempt at problem set 1. Thin lens geometric optics

October 04, 2012 Problem set 1. Geometric Optics

October 02, 2012 Fresnel diffraction

September 27, 2012 Diffraction (cont.)

September 26, 2012 Diffraction

September 26, 2012 GRIN (Graded Refractive INdex)

September 26, 2012 Geometric optics: Rays

September 26, 2012 Matrix methods in Geometric Optics

Sept 25, 2012 Derivation of Fresnel equations for mixed polarization

Sept 12, 2012 Some worked problems from ``Modern Optics'', the vectorial nature of light

Sept 2, 2012

Work through the plane wave solution to Maxwell's equation in linear isotropic charge free media without boundary value constraints. I may have attempted to blunder through this before, but believe this to be more clear than any previous attempts. What's missing is relating this to polarization states of different types and relationships to Jones vectors and so forth. Also, it's likely possible to express things in a way that doesn't require taking any real parts provided one uses the pseudoscalar instead of the scalar complex imaginary appropriately.

Jul 14, 2012 Apr 29, 2012 Steady state velocity profile of stirred cup of non-bottomless coffee.

Apr 29, 2012 Surface for spinning bucket of water.

Apr 24, 2012 Spin down of coffee in a bottomless cup.

Apr 21, 2012 Continuum mechanics fluids review.

Apr 21, 2012 Continuum mechanics elasticity review.

Apr 10, 2012 Flow between infinite moving inner cylinder and outer cylinder.

Apr 9, 2012 Couette flow of a viscous incompressible fluid.

Apr 4, 2012 Putting the stress tensor (and traction vector) into explicit vector form.

Apr 4, 2012 Thermal stability.

Apr 3, 2012 A Fourier series refresher.

Mar 31, 2012 Channel flow with step pressure gradient

Mar 29, 2012 Stability.

Mar 28, 2012 Asymptotic solutions of ill conditioned equations.

Mar 23, 2012 Boundary layers and stream functions. The Blasius problem.

Mar 23, 2012 Problem Set 3. Velocity scaling, non-dimensionalisation, boundary layers.

Mar 21, 2012 Scaling to setup to solve the boundary layer problem.

Mar 21, 2012 Classical Mechanics Euler Angles

Mar 16, 2012 Impulsive flow. Boundary layers. Oscillatory driven flow.

Mar 16, 2012 Geometric Algebra. The very quickest introduction.

Mar 14, 2012 Midterm reflection.

Mar 14, 2012 Boundary Layers. Time dependent flow.

Mar 9, 2012 More on surface tension and Reynold's number.

Mar 7, 2012 Non-dimensionality and scaling.

Mar 7, 2012 Rigid body motion.

Mar 6, 2012 Inclined flow without constant height assumption. Setting up the problem, but not actually solving it.

Mar 2, 2012 Problem Set 2. Rectilinear flow with pressure gradient. Two layer flow driven by moving surface.

Mar 2, 2012 Hydrostatics. Surface normals and tangent vectors.

Mar 1, 2012 Steady state inclined flow down a plane of two layers of incompressible viscous fluids.

Mar 1, 2012 Steady state inclined flow down a plane of two layers of incompressible viscous equal density fluids.

Feb 29, 2012 Phase Space and Trajectories.

Feb 27, 2012 Potential due to cylindrical distribution.

Feb 24, 2012 Potential for an infinitesimal width infinite plane. Take III

Feb 19, 2012 Attempts at calculating potential distribution for infinite homogeneous plane.

Feb 17, 2012 Flow in a pipe. Gravity driven flow of a film.

Feb 15, 2012 Worked examples of unidirectional Navier-Stokes solutions.

Feb 12, 2012 Flow in a pipe. Gravity driven flow of a film.

Feb 11, 2012 Runge-Lenz vector conservation

phy354 lecture notes on the Runge-Lenz vector and its use in the Kepler problem.

Feb 10, 2012 Navier-Stokes equation.

Feb 8, 2012 Newtonian fluids. Mass conservation. Constitutive relation. Incompressible fluids.

Feb 8, 2012 Problem Set 1. Stress, Strain, Traction vector. Force free equilibrium.

Feb 3, 2012 Phasor description of elastic waves. Fluid dynamics.

Feb 1, 2012 P-waves and S-waves.

Jan 27, 2012 Compatibility condition and elastostatics.

Jan 27, 2012 Infinitesimal rotations.

Derive the cross product result for infinitesimal rotations with and without GA.

Jan 25, 2012 Constitutive relationship.

Jan 24, 2012 PHY354 Advanced Classical Mechanics. Problem set 1.

Jan 20, 2012 Strain tensor components.

Jan 18, 2012 Strain tensor review. Stress tensor.

Jan 13, 2012 Introduction and strain tensor.

Jan 11, 2012 Overview.

Jan 3, 2012 Derivative recurrence relation for Hermite polynomials.

Jan 1, 2012 Induction for Nth derivative of a product