Laser Physics

Relations:

In order to register for the course 12PLM, the student must have successfully completed the course 12FLA.

Course guarantor:

Jan Šulc

Lecturer:

Jan Šulc

Tutor:

Jan Šulc

Supervisor:

Department of Laser Physics and Photonics

Synopsis:

Relations of behaviour both for laser active media and for various laser types from the general principle of quantum statistical physic will be derived.

Requirements:

Knowledge of quantum mechanics (base equations and principles, statistical operator, perturbation theory, linear harmonic oscillator, quantum description optical radiation), electrodynamics and fundamentals of laser technique

Syllabus of lectures:

1. Physical laser model - laser like closed system, the quantum Liouville equation

2. Quantum theory of damping - driving quadratic for evolution grave quantum system

3. Semi-classical theory of radiation interaction with matter - response of two-level resonant matter, equations for semi-classical description

4. Propagation of stationary signals, dispersive characteristics resonant matter

5. Semi-classical description optical impulse propagation - incoherent and coherent pulse propagation, rate-equations approximation

6. Lasers dynamics in rate-equations approximation - laser with short resonator, rate-equations

7. Dynamics of Q-switching, lasers without mirrors

8. Spectral characteristics laser radiation - frequency pulling, spectral distribution of the generated laser light in the event of homogenously & inhomogeneously broadened gain

9. Generation short pulses - simplified description of laser mode synchronizzation, pulse compression, expansion, and shaping

10. Quantum description of common systems - quasi-distributive function for description of electromagnetic field states, time development of quasi-distributive function, 11. Fokker- Planck equation for atom and damped linear harmonic oscillator

12. Quantum theory of laser - quantum model of laser, Fokker- Planck equation for laser system

13. Solving of Fokker- Planck equation for laser in approximation of rotating wave Van der Pol oscillator

Syllabus of tutorials:

1. Numerical exercises - Evolution of the statistical operator, perturbation theory

2. Numerical exercises - Master equation

3. Numerical exercises - Damped harmonic oscillator

4. Numerical Exercises - Equations of semiclasical laser theory

5. Students talks - Tunable laser

6. Students talks - Soliton

7. TEST 1

8. Students talks - Q-switching

9. Students talks - X-ray laser, ASE

10. Students talks - Mode-locking

11. Numerical exercises - Focker-Planck equation

12. Numerical Exercises - Quantum tehory of laser

13. TEST No.2

Study Objective:

Knowledge:

To meet the theoretical foundations of laser generator using semi-classical and fully quantum description of the resonant interaction of radiation with matter.

Skills:

To apply the theoretical results to practical problems in laser physics, e.g. description of lasers with a short resonator, the generation of Q-switched giant pulses, and coherent pulse propagation.

Study materials:

Key references:

Vrbova, M., Sulc, J.: Interaction of resonant radiation with matter, CVUT, Prague, 2006

Recommended references:

[2] W. H. Louisell: Quantum statistical properties of radiation, John Wiley and Sone, New York, 1973

[3] M. Vrbova: Quantum theory coherency, CVUT, Prague, 1997.

[4] B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics, Wiley Series in Pure and Applied Optics, 1991

[5] B. Kvasil, Theoretical fundamentals of quantum electronics, Academia, Praha, 1983.

Note:

Further information:

http://people.fjfi.cvut.cz/sulcjan1/fla/

Time-table for winter semester 2024/2025:

Time-table is not available yet

Time-table for summer semester 2024/2025:

Time-table is not available yet

The course is a part of the following study plans:

• Fyzikální elektronika - Fotonika (elective course)
• Fyzikální elektronika - Laserová fyzika a technika (PS)