EE 5336/7336:  Integrated Photonics

Term: Spring 2007

Class Times: MW 2-3:20

Room: Junkins 205

Textbook: Integrated Photonics, Clifford Pollock and Michal Lipson, Kluwer Academic Publishers, 2003.

Prerequisites: C- or better in EE3311 & EE3330, or permission of instructor.

Course Objective: This course is directed at the issues of integrated photonics. Four major areas are covered: 1) fundamental principles of electromagnetic theory; 2) waveguides; 3) simulation of waveguide modes, and 4) photonic structures. The emphasis is slightly heavier into optical waveguides and numerical simulation techniques because advances in optical communications will be based on nanostructure waveguides coupled with new materials. Topics include: Maxwell’s equations; slab, step index, rectangular and graded index wave guides; dispersion; attenuations; non-linear effects; numerical methods; and coupled mode theory. Mathematica will be used extensively in this class.

Grading: 20% Homework,

50% Tests (2),

30% Final Exam / Project

Coures Website: engr.smu.edu/ee/7336

Instructor:  
Dr. Marc P. Christensen

Office:  Junkins Room 317

Telephone:  x81407

Email:  mpc@engr.smu.edu

Office Hours:  M 3:30-4:30, T 10:00-11:00, R 2:30-3:30 by appointment (drop by or email me)

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Disability Accommodations: If you need academic accommodations for a disability, you must first contact Ms. Rebecca Marin, Coordinator, Services for Students with Disabilities (214-768-4563) to verify the disability and to establish eligibility for accommodations. Then you should schedule an appointment with the professor to make appropriate arrangements.  (See University Policy No. 2.4.)

Religious Observance: Religiously observant students wishing to be absent on holidays that require missing class should notify their professors in writing at the beginning of the semester, and should discuss with them, in advance, acceptable ways of making up any work missed because of the absence. (See University Policy No. 1.9.)

Excused Absences for University Extracurricular Activities: Students participating in an officially sanctioned, scheduled University extracurricular activity will be given the opportunity to make up class assignments or other graded assignments missed as a result of their participation. It is the responsibility of the student to make arrangements with the instructor prior to any missed scheduled examination or other missed assignment for making up the work. (University Undergraduate Catalogue)

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Course Schedule (subject to change):

Date	Topic
	1. Introduction and Overview viewgraphs
	1. A Brief History of Telecommunications
	2. Development of the Optical Waveguide
	3. Types of Optical Communication Systems
	4. Opportunities in Optoelectronics
	2. Maxwell's Equations viewgraphs
	1. Introduction: Tools of the Trade
	2. Maxwell's Equations
	3. Constitutive Relations
	4. The Wave Equation
	5. Solutions to the Wave Equation
	6. Transverse EM Waves and the Poynting Vector
	7. Phase Velocity
	8. Group Velocity
	9. Boundary Conditions Mathematica
	10. Total Internal Reflection
	11. Wave Description of TIR DVD recording of demo
	12. Phase Shift Upon Reflection
	3. The Planar Slab Waveguide viewgraphs
	1. Intro
	2. Infinite Slab Waveguide
	3. EM Analysis of Planar Waveguide Mathematica, More Examples
	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 viewgraphs
	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 Mathematica, More
	7. Normalized Frequency and Cutoff
	8. Fundamental HE11 Mode
	9. Total Number of Modes in a Step-Index Waveguide
	5. Rectangular Dielectric Waveguides viewgraphs
	1. Intro Mathematica, More Examples
	2. Wave Equation Analysis of Rectangular Waveguides
	3. Perturbation Approach to Correcting Beta
	4. Effective Index Method
	6. Dispersion inWaveguides Mathematica Sheet viewgraphs
	1. Intro
	2. Three Types of Dispersion
	3. Material Dispersion
	4. Modal Dispersion
	5. Waveguide Dispersion
	6. Simultaneous Effect of Material and Modal Dispersion
	7. Graded Index Waveguides Mathematica Sheet viewgraphs
	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 viewgraphs
	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 viewgraphs
	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 viewgraphs
	1. Intro
	2. Derivation of Coupling Equation Using Ideal Modes
	3. Nondegenerative Coupling Between Modes in a Waveguide
	4. Degenerate 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