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Course11510545197 lectures

Fundamentals of Attosecond Science and Technology (FAST)

Prof. Sivarama Krishnan · IIT Madras

Start with lecture 1 At NPTEL

Lectures

MATLAB

  1. Introduction to waves, 1D wave equation and its solutions Video
  2. 1D Light waves Video
  3. Characteristics of light waves - amplitude, absolute phase, wavelenght and frequency Video
  4. Phase, Phase velocity and Phase delay Video
  5. Complex notation for the description light waves and superposition Video
  6. Maxwell's equations to the 3D wave equation and its solutions Video

Week 1

  1. Recap of Week 1 Video
  2. 3D wave equation and plane waves Video
  3. Complex notation for Electric fields, Superposition and interference Video
  4. Fabry - Perot inteferometer and it transmittance Video
  5. Physical interpretation of FP transmittance Video

week-03

  1. Recap of Fabry - Perot modes Video
  2. Free spectral range of a Fabry - Perot etalon Video
  3. Resonator modes and optical pulses - insight Video
  4. Table - Top Coherent & Incoherent Imaging Video

week-04

  1. Recap of Etalon free spectral range Video
  2. Line width and finesse of an etalon Video
  3. Actual resonator modes Video
  4. Resonator configurations and stability Video

week-05

  1. Recap of optical resonators Video
  2. Introduction of light pulses Video
  3. Complex amplitude, Gaussian pulse Video
  4. Recap of light pulses Video
  5. Introduction of Fourier Transforms Video
  6. Tutorial 1 Video
  7. Motivating Fourier Transforms Video
  8. Fourier Transform Properties Video
  9. Frequency domain electric field Video

week-06

  1. Recap of Fourier transform properties Video
  2. Frequency domain description of pulses Video
  3. Spectral Phase Video
  4. Recap of spectral phase Video
  5. Instantaneous Frequency and group delay Video
  6. Phase wrapping, blanking, and Tayor series expansion Video

week-07

  1. Recap of instantaneous frequency, phase wrapping, and phase blanking Video
  2. Frequency domain phase expansion, group delay dispersion Video
  3. Absolute Phase Video
  4. Recap of concepts + discussion Video
  5. Absolute Phase (revisited) Video
  6. Carrier envelope phase, frequency comb Video
  7. Discussion Video

Week 0

  1. Recap of concepts Video
  2. First order phase Video
  3. Second order phase Video
  4. Recap of first order and second order phase Video
  5. Chirped pulse: Instantaneous frequency and Fourier transform Video
  6. Group delay, nonlinearly chirped pulse Video
  7. Recap of chirped pulses Video
  8. Quadratic chirp pulses Video
  9. Higher order spectral phase Video

week-09

  1. Recap and discussion on higher order phase Video
  2. Relative importance of intensity and phase Video
  3. Pulse propagation through a medium Video
  4. Recap of pulse propagation and pulse length Video
  5. Discussion of RMS pulse width and uncertainty principle Video
  6. Time-bandwidth product Video

week-10

  1. Recap of previous module Video
  2. Introduction of Lorentz Oscillator Model Video
  3. Effect of matter on light Video
  4. Recap of Lorentz oscillator, Polarization tensor Video
  5. Dynamics of electrons in the Lorentz oscillator Video
  6. Solving the inhomogeneous wave equation Video
  7. Inhomogeneous wave equation, absorption coefficient, refractive index Video

week-11

  1. Nonlinear response of matter Video
  2. Origin of nonlinear optical effects Video
  3. Wave equation in an inert gas Video
  4. Perturbation theory and second harmonics Video
  5. Numerical simulation strategy Video
  6. Atoms in the presence of fields Video
  7. Ionization models Video

week-12

  1. Attosecond pulse generation and metrology Video
  2. Nonlinear optics review Video
  3. Nonlinear response of matter to light Video
  4. Sum and difference frequency generation Video
  5. Recap of sum and difference frequency generation, second harmonic generation Video
  6. Generalized nonlinear effects, conservation laws in SHG Video
  7. Phase matching in SHG, polarization dependent refractive index Video
  8. Review of Second Harmonic Generation Video
  9. Birefringence and Uniaxial Media Video
  10. Phase Matching Using Birefringence Video
  11. Second order nonlinear effects in isotropic media Video
  12. Kerr effect and self phase modulation Video
  13. Spatial domain Kerr effect Video
  14. Recap of previous lecture, birth of ultrafast technology Video
  15. Motivating the measurement of events in time Video
  16. Measuring Ultrashort pulses Video
  17. Pulse Measurement in the Time-Domain Video
  18. Auto-correlation Measurements Video
  19. Types of Auto-correlation Measurements Video
  20. Review of Interferometric Auto-correlation measurements Video
  21. Auto-correlation of complex pulses Video
  22. Spectrogram and FROG Video
  23. Review of spectrograms Video
  24. FROG as a phase-retrieval problem Video
  25. FROG Measurements Video

Live Session

  1. Live Session 14-02-2025 Video
  2. Live Session 19-02-2025 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Madras
Department
Physics
Teacher
Prof. Sivarama Krishnan
Level
Undergraduate
Language
English
Subjects
Physics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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