Course Identification

Non Linear and Ultra Fast Optics

Lecturers and Teaching Assistants

Prof. Nirit Dudovich, Prof. Victor Armand Malka, Dr. Barry Bruner
Dr. Shaked Rozen, Dr. Ayelet Julie Uzan, Eitan Yekutiel Levine

Course Schedule and Location

First Semester
Monday, 09:15 - 11:00, Drori Auditorium
Wednesday, 10:15 - 11:00, Drori Auditorium

Field of Study, Course Type and Credit Points

Physical Sciences: Lecture; Elective; Regular; 3.00 points
Chemical Sciences: Lecture; Elective; Regular; 3.00 points




Quantum Mechanics 1



Language of Instruction


Attendance and participation

Expected and Recommended

Grade Type

Numerical (out of 100)

Grade Breakdown (in %)


Evaluation Type

Final assignment

Scheduled date 1


Estimated Weekly Independent Workload (in hours)



  • Introduction to Nonlinear Optics

- Interaction of light and matter - Lorentz model, linear susceptibility.
- Formal introduction of NLO; nonlinear susceptibility.
- Low order nonlinear effects: DC effects, second harmonic generation, four waves mixing effects.
- Nonlinear propagation.

  • Femtosecond pulses

- Ultrashort pulses: description and representation of ultrashort pulses, dispersion, instantaneous frequency and group velocity delay.
- Ultrashort Sources.
- Femtosecond pulse amplification.
- Femtosecond pulse propagation.
- Diagnostic techniques.
- Pulse shaping.
- Carrier envelope phase stabilization.

  • Fundamentals of ultrafast light-matter interactions

- Basic schemes in ultrafast measurements.
- Examples of time resolved ultrafast processes.

  • Coherent control

- Introduction to quantum coherent control
- Optimal control

  • Attosecond science

- High harmonics generation
- Attoseconds experiments.


Introduction to laser plasma physics:

  1. Plasma creation. Ionisation process (tunnel, multi-photons, collisional)
  2. Single electron dynamic un laser field from non-relativistic to relativistic laser field
  3. Fluid model of laser plasma interaction
    1. Few definitions. Basic equation
    2. Resolution in 1D case
    3. Laser propagation equation
    4. Quasi Static equation of the plasma wave
    5. Plasma and laser waves equation
    6. Case of Gaussian beams
    7. Relativistic self-focusing
  4. Particles in plasma waves

4.1 Energy gains

4.2 Hamiltonian approach. Energy conservation

4.3 Case of linear/sine plasma wave

4.4 Gain energy calculation in sine plasma wave

5.  Limits of plasma acceleration

5.1 Guiding

5.2 Dephasing length

5.3 Depletion length

5.4 Trapping conditions

5.5 Finales notes

Learning Outcomes

Upon successful completion of this course students should be able to:

  1. Demonstrate knowledge of basic concepts in light matter interactions.

Reading List

  1. R. W. Boyd, Nonlinear Optics.
  2. Y. R. Shen, The Principles of Nonlinear Optics.
  3. S. Mukamel, Nonlinear Optical Spectroscopy.
  4. J. C. Dies, Ultrashort Laser Pulse Phenomena.