16:332:591 OptoElectronics I

M. A. Parker Copyright 1997-2005

Corrections: These sections comprise the earliest draft of the book "Physics of Optoelectronics" and do not have the corrections in the book published by Taylor-Francis Group, CRC Press

Course Announcement

Course Outline

The following sections come from the newest version of the course book.

Table of Contents

1.0 Introduction to Semiconductor Lasers

1.1 Basic Components and the Role of Feedback
1.2 Basic Properties of Lasers
1.3 Introduction to Emitter Construction
1.4 Introduction to Matter and Bonds
1.5 Introduction to Bands and Transitions
1.6 Introduction to the pn Junction for the Laser Diode
1.7 Introduction to Light and Optics
1.8 Introduction to Noise in Optoelectronic Components
1.9 Review Exercises
1.10 Further Reading

2.0 Introduction to Laser Dynamics

2.1 Introduction to the Rate Equations
2.2 Stimulated Emission-Absorption and Gain
2.3 The Power-Current Curves
2.4 Relations for Cavity Lifetime, Reflectance and Internal Loss
2.5 Modulation Bandwidth
2.6 Introduction to RIN and the Weiner-Khintchine Theorem
2.7 Relative Intensity Noise for the Semiconductor Laser
2.8 Review Exercises
2.9 Further Reading

3.0 Classical Electromagnetics and Lasers

3.1 A Brief Review of Maxwell's Equations and the Constituent Relations
3.2 The Wave Equation
3.3 Boundary Conditions for the Electric and Magnetic Fields
3.4 Law of Reflection, Snell's Law and the Reflectivity
3.5 The Poynting Vector
3.6A Electromagnetic Scattering and Transfer Matrix Theory: PART 1
3.6B Electromagnetic Scattering and Transfer Matrix Theory: PART 2
3.7 The Fabry-Perot Laser
3.8 Introduction to Waveguides
3.9 Physical Optics Approach to Waveguiding
3.10 Dispersion in Waveguides
3.11 The Displacement current and Photoconduction
3.12 Review Exercises
3.13 Further Reading

4.0 Mathematical Foundations

4.1 Vector and Hilbert Spaces
4.2 Dirac Notation and Euclidean Vector Spaces
4.3 Hilbert Space
4.3b Summary Sheet
4.4 The Grahm-Schmidt Orthonormalization Procedure
4.5 Linear Operators and Matrix Representations
4.6 An Algebra of Operators and Commutators
4.7 Operators and Matrices in Tensor Product Space
4.8 Unitary Operators and Similarity Transformations
4.9 Hermitian Operators and the Eigenvector Equation
4.10 A Relation Between Unitary and Hermitian Operators
4.11 Translation Operators
4.12 Functions in Rotated Coordinates
4.13 Dyadic Notation
4.14 Minkowski Space
4.15 Review Exercises
4.16 Further Reading

5.0 Fundamentals of Dynamics

5.1 Introduction to Generalized Coordinates
5.2 Introduction to the Lagrangian and the Hamiltonian
5.3 Classical Commutation Relations
5.4 Classical Field Theory
5.5 Schrodinger Equation from a Lagrangian
5.6 Linear Algebra and the Quantum Theory
5.7 Basic Operators of Quantum Mechanics
5.8 The Harmonic Oscillator
5.9 Quantum Mechanical Representations
5.10 Time-Dependent Perturbation Theory
5.11 Density Operator
5.12 Review Exercises
5.13 Further Reading

6. Light

6.1 A Brief Overview of the Quantum Theory of Electromagnetic Fields
6.2 The Classical Vector Potential and Gauges
6.3 The Plane Wave Expansion of the Vector Potential and the Fields
6.4 The Quantum Fields
6.5 The Quantum Free-Field Hamilton and EM Fields
6.6 Introduction to Fock States
6.7 Fock States as Eigenstates of the EM Hamiltonian
6.8 Interpretation of Fock States
6.9 Introduction to EM Coherent States
6.10 Definition and Statistics of Coherent States
6.11 Coherent States as Displaced Vacuum States
6.12 Quasi-Orthonormality, Closure and Trace for Coherent States
6.13 Field Fluctuations in the Coherent State
6.14 Introduction to Squeezed States
6.15 The Squeezing Operator and Squeezed States
6.16 Some Statistics for Squeezed States
6.17 The Wigner Distribution
6.18 Measuring the Noise in Squeezed States
6.19 Review Exercises
6.20 Further Reading

7.0 Matter-Light Interaction

7.1 Introduction to the Quantum Mechanical Dipole Moment
7.2 Introduction to Optical Transitions
7.3 Fermi's Golden Rule
7.4 Introduction to the Electromagnetic Lagrangian and Field Equations
7.5 The Classical Hamiltonian for Fields, Particles and Interactions
7.6 The Quantum Hamiltonian for the Matter Light Interaction
7.7 Stimulated and Spontaneous Emission Using Fock States
7.8 Introduction to Matter and Light as Systems
7.9 Liouville Equation for the Density Operator
7.10 The Liouville Equation for the Density Matrix with Relaxation
7.11 A Solution to the Liouville Equation for the Density Matrix
7.12 Gain, Absorption and Index for Independent Two Level Atoms
7.13 Broadening Mechanisms
7.14 Introduction to Jaynes-Cummings' Model
7.15 The Interaction Representation for the Jaynes-Cummings' Model
7.16 The Master Equation
7.17 Quantum Mechanical Fluctuation-Dissipation Theorem
7.18 Review Exercises
7.19 Further Reading

8.0 Semiconductor Emitters and Detectors

8.1 Effective Mass, Density of States and the Fermi Distribution
8.2 The Bloch Wave Function
8.3 Density of States for Nanostructures
8.4 The Reduced Density of States and Quasi Fermi Level
8.5 Fermi's Golden Rule for Semiconductor Device
8.6 Fermi's Golden Rule and Semiconductor Gain
8.7 The Liouville Equation and Semiconductor Gain
8.8 Review Exercises
8.9 Further Reading

Appendices

A1 Review of Integrating Factors
A2 Rate and Continuity Equations
A3 The Group Velocity
A4 Review of Probability Theory and Statistics
A5 The Dirac Delta Function
A6 Coordinate Representations of the Schrodinger Wave Equation
A7 Integrals with Two Time Scales
A8 The Dipole Approximation
A9 The Density Operator and the Boltzmann Distribution