Optics Teaching

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Waves and Optics

Instructor: Dr. [Sabieh Anwar] Office hours: Monday, 2-6 pm

Teaching Fellow: [Kaneez Amna] Office hours: Tuesday and Thursday, 10 am - 2 pm

Lecture 1 (26 August 2009)

  • Three dimensional wave equation
  • Harmonic waves: plane and spherical
  • Deriving the wave equation for the electric field from Maxwell's Equations
  • Electric and and magnetic fields at the interface of two materials (applying boundary conditions to Maxwell's Equations)
  • Deriving laws of reflection and refraction using Maxwell's Equations
  • S and P- polarizations
  • Introduction to Fresnel coefficients for reflection and transmission

Lecture 2 (2 September 2009)

  • Interpretations of the Fresnel Equations
  • Brewster angle
  • Total internal reflection
  • Plotting of Fresnel coefficients with respect to incidence angle
  • Phase change upon reflection and transmission
  • reflectivity and Transmissivity

Homework No. 1 Fresnel's Equations; Reflection and Refraction The HW is due 14 September, 2 pm. Homework No. 1 Solution. Lecture 3 (9 September 2009)

  • Evanescent wave
  • Polarization of a dielectric sphere
  • Polarizability of an atom
  • Clausius-Mossotti Equation

Lecture 4 (16 September 2009)

  • Lorentz's oscillator model
  • Refractive index can be complex
  • Extinction coefficient, resonant and non-resonant absorption
  • refractive index of non-absorbing gases
  • Dispersion

Lecture 5 (30 September 2009)

  • Drude's model of conductivity
  • Dispersion relationships for free charge carriers
  • Reflectivity of perfect conductors
  • Plasma frequency and introduction to plasma oscillations

Homework No. 2 Absorption, Refractive index and Dispersion The HW is due 20 October, 2 pm. Homework No. 2 Solution. Midterm Examination Question paper. Midterm Examination Solution. Homework No. 3 Interference, Fourier Theory and Propagation of Light The HW is due 4 December, 2pm. Homework No. 3 Solution. Final Examination Question paper. Final Examination Solution.

Post-mid-term contents

  • Interference basics, path difference, optical path difference, phase difference
  • Fourier transformation and basic ideas of convolution, relationship between time and frequency, space and k-space domains
  • group and phase velocity, derivation of relationships between phase and group velocities, impossibility of superluminal communication, significance of group velocity
  • multiple beam interference as an example of interference by amplitude splitting, fringes produced by multiple reflections from thin films
  • Fabry-Perot interferometry: Airy's function, coefficient of finesse, orders, finesse, free spectral range, resolution and resolving power, modes of operation (especially scanning distance)
  • Michelson interferometry: mechanism of producing circular fringes, equivalent optical diagram, finding the refractive index of gases
  • Temporal interference: coherence time, coherence length, linewidth, correlation function, autocorrelation, visibility of fringes
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