Nonlinear Optics


To give knowledge, in advanced level, in the status-of-art of the ultrafast lasers and to give knowledge of the fundamental concepts in the area of nonlinear optics and its scientific and technological applications.

General characterization





Responsible teacher

Ana Cristina Gomes da Silva


Weekly - 3

Total - 36

Teaching language



Solid State Physics

Atomic and Molecular Physics


Quantum Mechaniscs

Basic and advanced Calculus,




Robert W. Boyd, "Nonlinear Optics" Academic, 2003.

Bloembergen, "Nonlinear Optics", Advanced Book Classics, Addison Wesley, 1992,

H. Wherrett, "Nonlinear Optics", Academic Press,

Y. R. Shen, The Principles of nonlinear optics, Wiley, New York, 1973.

Teaching method

The lectures and problem-solving sessions will in Portuguese. If necessary, English will be used.

There will be a mixture between lectures and problem-solving sessions for this course. The blackboard is used for problem-solving sessions and theoretical demonstrations, together with the use of DataShow/power points and slides as support for theoretical contents and pictures. The students will be asked for proactive attitude and positive participation especially during the problem-solving sessions and discussions of scientific and technological papers within the context of the course.  An  office hour during the semester is established together with the students.

Evaluation method

NF1 = 70% written evaluation + 30% exercices presentation and discussion.

Minimum required:

NF1 = or > 10 (0-20)


Final exam : minium 10  (0-20).

Subject matter

Nonlinear optics is involved with the interaction of high intensity light with matter.  Members study nonlinear materials, phenomena, devices and applications.

Nonlinear optical susceptibility. Descriptions of nonlinear optical interations. Formal definitions of the nonlinear susceptibility. Nonlinear susceptibility of a classical anharmonic oscillator. Second-harmonic generation, third-harmonic generation an d sum-frequency generation. Apllications on physics and biology. Nonlinear optical spectroscopy. Resonant and non-resonant conditions. Geometry of the interaction and energy-level description.


Programs where the course is taught: