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ECE Course Syllabus

ECE6520 Course Syllabus


Integrated Optics (3-0-0-3)

Lab Hours
0 supervised lab hours and 0 unsupervised lab hours

Technical Interest
Optics and Photonics

Course Coordinator



Catalog Description
Theory and design of integrated photonic devices.

Pollock and Lipson, Integrated Photonics, Springer, 2004. ISBN 9781402076350(optional)

Indicators (SPIs)
SPIs are a subset of the abilities a student will be able to demonstrate upon successfully completing the course.

Outcome 1 (Students will demonstrate expertise in a subfield of study chosen from the fields of electrical engineering or computer engineering):
1.	Explain the fundamental concepts behind waveguiding in integrated photonic waveguides and the properties of the resulting guided modes (e.g., cut-off, group velocity, dispersion)
2.	Demonstrate expertise in the analysis and design of integrated photonic waveguides and calculating their important properties using Maxwell?s equations and boundary conditions

Outcome 2 (Students will demonstrate the ability to identify and formulate advanced problems and apply knowledge of mathematics and science to solve those problems):
1.	Explain different types of integrated photonic resonators and the properties of their resonant modes (resonance wavelength, mode volume, quality factor, and free spectral range) 
2.	Demonstrate expertise in the analysis and design of integrated photonic resonators in different materials and calculating their important properties using Maxwell?s equations and boundary conditions

Outcome 3 (Students will demonstrate the ability to utilize current knowledge, technology, or techniques within their chosen subfield):
1.	Explain the mechanisms for coupling different integrated photonic building blocks (i.e., waveguides and resonators) and the analysis and design of such coupled structures to form functional passive devices
2.	Explain different tuning mechanisms (e.g., electro-optic effect, free-carrier plasma-dispersion effect, thermo-optic effect, etc.) and their application for designing active integrated photonic devices, especially modulators, switches, phase shifters, and delay lines.

Topical Outline
1. Introduction on Electromagnetics  
   a. Maxwell?s equations
   b. Wave propagation
   c. Materials properties for optics (dispersion and absorption)
   d. Phase & group velocity
   e. Reflection and refraction
2. Planar Dielectric Slab Waveguides    
   a. Asymmetric waveguides
   b. Confinement
   c. Ray optics analysis
   d. Group velocity dispersion  and modal dispersion
   e. Transfer matrix analysis
   f. Multilayer slab waveguides 
   g. Distributed Bragg reflectors
3. Channel Waveguides
   a. Ridge waveguides and Rib waveguides
   b. Effective index method for channel waveguides 
   c. Numerical simulation of channel waveguides 
4. Coupled Mode Theory     
   a. Formulation
   b. Application to corrugated waveguides
   c. Theory of waveguide coupling
   d. Directional couplers
5. Optical Cavities    
   a. Motivation (Need for frequency sensitive elements for filtering, resonators for sources, etc.)
   b. Fabry-Perot resonators 
   c. Resonance mode properties 
   d. Examples of optical cavities 
   e. Cavity mode structure (standing waves versus whispering gallery modes)
   f. Micro-ring and micro-disk resonators 
   g. Numerical analysis of the cavity modes
6. Waveguide-Cavity Coupling	
   a. Theory of coupling of a waveguide and a cavity
   b. Critical Coupling
   c. Add/Drop filters using waveguide-cavity coupling
7. Functional Integrated Optic Devices 
   a. Wavelength demultiplexers
        i. Cavity-waveguide demultiplexers 
       ii. Array Waveguide gratings (AWG)
   b. Mach-Zehnder Interferometer
   c. Modulators
        i. Electro-optic modulators
       ii. Acousto-optic modulators
      iii. Novel modulators 
   d. Switches
   e. Delay lines
   f. Input-Output coupling in integrated optics
8. Photonic Crystal Structures 
   a. Introduction to physics of 1D period structures
        i. Concepts of Brilluoin zone and bandgap 
       ii. Band structure calculations 
      iii. Extension to 2D photonic crystals
   b. Photonic crystal waveguides and bends
   c. Photonic crystal cavities
   d. Photonic crystal integrated circuits
        i. Waveguide couplers
       ii. Add/Drop filters
      iii. Mach-Zehnders
       iv. Delay lines
   e. Dispersion properties of photonic crystals and their applications
9. Novel Applications of Integrated Optics