Quantum Generators of Optical Radiation 2

Garant předmětu:

Jan Šulc

Lecturer:

Jan Šulc

Tutor:

Jan Šulc

Supervisor:

Department of Physical Electronics

Synopsis:

The course is focused to the description of quantum generator behaviour using the general principles of quantum statistical physics. The aim of the lecture is to introduce the theoretical basis of laser generator function using semi-classical and fully quantum description of interaction between bonded electrons and resonance radiation.

Requirements:

Syllabus of lectures:

. Physical model of laser - laser as a closed system, the quantum Liouville equation

2. Quantum theory of damping - the master equation for the evolution of the damped quantum system

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

4. Stationary signal propagation - dispersive characteristics resonant matter

4. Semi-classical description optical impulse propagation

5. Lasers dynamics in rate-equations approximation

6. Spectral characteristics laser radiation - frequency pulling, homogenously & inhomogeneously broadened gain

7. Short pulse generation - simplified description of laser mode-locking, pulse compression, expansion, and shaping 8. Quantum description of common systems - quasi-distributive function for description of electromagnetic field states, time development of quasi-distributive function

9. Fokker- Planck equation for harmonic oscillator and three-level laser system

10. Quantum theory of laser - quantum model of laser, rotating wave approximation of Van der Pol oscillator

Syllabus of tutorials:

1. Evolution of statistical operator, perturbative theory

2. Master equations in interaction and Schrödinger's picture

3. Master equation for damped harmonic oscillator

4. Dispersive and nonlinear properties of the resonant matter

5. Laser amplifier, gain saturation, losses, ASE

6. Numerical model of free-running generation and lase Q-switching, passive Q-switching

7. Quasi-distribution functions for selected states of the electromagnetic field

8. Ordering of operators of general quantum systems, operators of independent quantum systems

9. The Fokker-Planck equation for the damped harmonic oscillator

10.The Fokker-Planck equation for the laser in approximation of the Van der Pol oscillator

Study Objective:

Study materials:

Key references:

[1] Vrbová, M., Šulc, J.: Interakce rezonančního záření s látkou, Skriptum ČVUT, Praha, 2006.

Recommended references:

[2] Louisell, W. H.: Quantum statistical properties of radiation, John Wiley & Sons, New York, 1973. (available in the library of FJFI ČVUT)

[3] Orszag, M.: Quantum Optics, Springer, 2016.

[4] Saleh, B. E. A., Teich, M. C.: Základy fotoniky - 3. díl, Matfyzpress, Praha, 1995.

[5] Drummond, P. D., Hillery, M.: The Quantum Theory of Nonlinear Optics, Cambridge University Press, 2014.

Note:

Time-table for winter semester 2023/2024:

Time-table is not available yet

Time-table for summer semester 2023/2024:

Time-table is not available yet

The course is a part of the following study plans:

• Kvantové technologie (compulsory course in the program)