D I S S E R T A T I O N

Numerical Modeling of Quantum Cascade Lasers

ausgeführt zum Zwecke der Erlangung des akademischen Grades
eines Doktors der technischen Wissenschaften

eingereicht an der Technischen Universität Wien
Fakultät für Elektrotechnik und Informationstechnik
von

Goran Milovanović

Schallergasse 20/10
1120 Wien, Österreich

Matr. Nr. 9925120
geboren am 19. August 1981 in Tulln an der Donau

Wien, im März 2011

Kurzfassung
Abstract
Acknowledgment
Contents
List of Symbols
 Notation
 Physical Quantities
 Constants
List of Figures
List of Tables
1 Introduction
2 Basics of Quantum Cascade Lasers
 2.1 Fundamentals
 2.2 Milestones and State-of-the-art
 2.3 Applications
3 Quantum Ballistic Transport
 3.1 The Effective Mass Approximation
 3.2 Schrödinger-Poisson Solver
 3.3 Boundary Conditions
 3.4 Non-Equilibrium Green’s Functions
4 Quantum Dissipative Transport
 4.1 Density Matrix Formulation
 4.2 Semiclassical Transport Description
5 Scattering Rates
 5.1 Phonons
 5.2 From Fermi’s Golden Rule to the Totel Scattering Rate
 5.3 Polar Optical Phonon Scattering
 5.4 Acoustic Deformation Potential Scattering
 5.5 Optical Deformation Potential Scattering
 5.6 Intervalley Scattering
 5.7 Interface Roughness Scattering
 5.8 Alloy Scattering
6 Simulation Results
 6.1 Quantum Ballistic Transport Calculations
 6.2 Design and Perfomance Investigations
7 Summary and Outlook
Bibliography
Own Publications
Curriculum Vitae