| Dates |
Topic / Handouts |
| 1. Introduction
and Overview |
|
| 1/14 |
1. A Brief History of Telecommunications |
| 1/14 |
2. Development of the Optical Waveguide |
| 1/14 |
3. Types of Optical Communication Systems |
| 1/14 |
4. Opportunities in Optoelectronics |
| 2. Maxwell's Equations |
|
| 1/19 |
1. Introduction: Tools of the Trade |
| 1/19 |
2. Maxwell's Equations |
| 1/19 |
3. Constitutive Relations |
| 1/19 |
4. The Wave Equation |
| 1/19 |
5. Solutions to the Wave Equation |
| 1/21 |
6. Transverse EM Waves and the Poynting Vector |
| 1/21 |
7. Phase Velocity |
| 1/21 |
8. Group Velocity |
| 1/24 |
9. Boundary Conditions Example Mathematic Sheet for Fresnel Calcuation |
| 1/26 |
10. Total Internal Reflection |
| 1/26 |
11. Wave Description of TIR |
| 1/26 |
12. Phase Shift Upon Reflection |
| 3. The Planar Slab Waveguide |
|
1. Intro |
|
2. Infinite Slab Waveguide |
|
3. EM Analysis of Planar Waveguide |
|
4. Longitudinal Wavevector |
|
5. Eigenvalues for the Slab Waveguide |
|
6. The Symmetric Waveguide |
|
7. Intuitive Picture of the Mode |
|
8. Properties of Modes |
|
9. Number of Guided Modes in a Waveguide |
|
10. Normalized Propagation Parameters |
|
11. Numerical Aperture |
|
| 4. Step-Index Circular Waveguide
Mathematica Sheet |
|
1. Intro |
|
2. Wave Equation in Circular Co-ordinates |
|
3. Solution of the Wave Eqn for Ex |
|
4. Field Distributions in the Step Index Fiber |
|
5. Boundary Conditions for the Step-Index Waveguide |
|
6. The Spatial Modes of a Step-Index Waveguide |
|
7. Normalized Frequency and Cutoff |
|
8. Fundamental HE11 Mode |
|
9. Total Number of Modes in a Step-Index Waveguide |
|
| 5. Rectangular Dielectric Waveguides
Mathematica
Sheet |
|
1. Intro |
|
2. Wave Equation Analysis of Rectangular Waveguides |
|
| SKIPPED |
3. Perturbation Approach to Correcting Beta |
| 2/23 |
4. Effective Index Method |
| 6. Dispersion inWaveguides
Mathematica
Sheet |
|
| 2/25 |
1. Intro |
2. Three Types of Dispersion |
|
3. Material Dispersion |
|
4. Modal Dispersion |
|
5. Waveguide Dispersion |
|
6. Simulataneous Effect of Material and Modal Dispersion |
|
| 7. Graded Index Waveguides
Mathematica
Sheet |
|
1. Intro |
|
2. Ray Tracing Model in Graded Index Material |
|
3. Modal Picture of the Graded Index Waveguide |
|
4. Direct Numerical Solution of the Wave Equation |
|
| 8. Attenuation and Nonlinear Effects |
|
1. Intro |
|
2. Intrinsic Absorption Loss |
|
3. Rayleigh Scattering |
|
4. Optical Fiber Manufacturing |
|
5. Losses in Rectangular Waveguides |
|
6. Mechanical Losses |
|
7. Nonlinear Effects in Dielectrics |
|
8. Stimulated Raman Scattering |
|
9. Stimulated Brillouin Scattering |
|
10. Self Phase Modulation |
|
11. Optical Solitons |
|
| 9. Numerical Methods |
|
1. Intro |
|
2. Beam Propagation Method |
|
3. Superposition of Waves |
|
4. The Fourier Transform in Guided Wave Optics |
|
5. Beam Diffraction |
|
6. BPM |
|
7. Matlab Program for 1-D BPM |
|
8. Waveguide Coupler |
|
9. FDTD |
|
| 10. Coupled Mode Theory |
|
1. Intro |
|
2. Derivation of Coupling Equation Using Ideal Modes |
|
3. Nondegenerative Coupling Between Modes in a Waveguide |
|
4. Degerate Mode Coupling |
|
5. Coupling by Periodic Perturbation |
|
| 11. Coupling Between Sources and
Waveguides |
|
1. Intro |
|
2. Coupling of Modes Between Waveguides |
|
3. Coupling From and Optical Fiber to an Integrated Waveguide |
|
4. Coupling to an Optical Source |
|
5. Surface Coupling a Beam to a Slab Waveguide |
|
6. Grating Couplers |
|
| 12. Waveguide Modulators |
|
1. Intro |
|
2. Figures-of-Merit for a Modulator |
|
3. Electrooptic Modulators and the Electrooptic Effect |
|
4. Phase Modulators |
|
5. Power Required to Drive a Phase Modulator |
|
6. Electro-Optic Intensiry Modulators |
|
7. Interferometric Modulators |
|
8. Electro-Absorption Modulators |
|
9. Acousto-optic Modulators |
|
10. Applications of Acousto-optic Waveguide Devices |
|
| 13. Photonic Crystals |
|
1. Intro |
|
2. Basic Physics of the Photonic Crystal |
|
3. The Photonic Band Gap |
|
4. Photonic States of a 1D Photonic Crystal |
|
5. Photonic States of a Continuous Medium |
|
6. Omni-direcdtional Photonic Band Gap |
|
7. 2-D Photonic Band Gap Structures |
|
| 14. Integrated Resonators and Filters |
|
1. Into |
|
2. Fiber Bragg Gratings |
|
3. Resonators |
|
4. 1-D Cavity Resonator |
|
5. 2-D Cavity Resonator |
|
6. 2-D Resonator Coupled to a Single Waveguide |
|
7. Ring Resonator as an Add/Drop Filter |
|
8. Sharp Bends Using Resonators |