Basic idea on differential equations and elementary calculus

Basic idea on numerical simulations (any programming language)

Typically suited for 2nd year Bachelors students

Lecture 1 : Introduction to Maxwell's equations (1 hour)

• • Course introduction

  • What is a fiber?

  • History of Maxwell's equations : Gauss, Faraday, Ampere, Maxwell and Heavyside

Lecture 2 : EM waves and speed of light (1 hour)

• • Deriving wave equation from Maxwell's equation

  • Existence of EM waves and calculating its speed

  • Fizeau's measurement of the speed of light

  • Bending of light in a medium

Lecture 3 : Historical perspectives of fibers and microwaves (1 hour)

• • Doppler effect and radar technology

  • History and evolution of radar technology

  • History of evolution of fiber optics

  • Microwave photonics and electronic warfare

Lecture 4 : Parametric amplifiers and child on a swing (1 hour)

• • History of fiber optics

  • Physics of child on a swing

  • Physics of fiber parametric amplifiers

Lecture 5 : Overview of optical fibers

• • Single and multimode operation (contd. in Lecture 8)

  • Designing a SMF

  • Fabrication of optical fibers

Lecture 6 : Numerical simulation of Maxwell's equations in a fiber with MEEP (Guest Lecture by Ayan Mondal, University of Lille) (1 hour)

• • Introduction to MEEP

  • Defining boundary and parameters in MEEP

  • Solving Maxwell's equation with fiber geometry

  • Simulating LP modes, Hybrid modes, directional coupler

Lecture 7 : Presentation by students (0.5 hour)

Lecture 8 : LP modes and nonlinear effects in optical fibers (1 hour)

• • Solving for LP modes (contd. from Lecture 5)

  • Nonlinear effect in fiber 

    • • Raman scattering

      • Brillouin scattering

      • Kerr effect

  • Kerr effect 

    • • Self-phase modulation

      • Cross-phase modulation

      • Four-wave mixing

  • Multiwave model for fiber optical parametric amplifier

  • Student presentation

Lecture 9 : Numerical simulation of light propagation in nonlinear fibers with split step Fourier method with MATLAB (2 hours)

• • Nonlinear Scrödinger equation

  • Split-step Fourier method

  • Simulating a similariton in passive fiber configuration

  • Student presentation

The evaluation in the course will be based on presenting a research paper (of your choice) in fiber optics to the other students

Duration of presentation : 3 mins + 1 mins questions

Lecture 1 

Lecture 2 

Lecture 3 (open in Adobe Acrobat Reader for animations)

Lecture 4 (open in Adobe Acrobat Reader for animations)

Lecture 5

Lecture 6 

Lecture 8 

Lecture 9 (MATLAB code  for NLSE simulation)