This course is an introduction to photonic materials and devices structured on the wavelength scale. Generally, these systems will be characterized as having critical dimensions at the nanometer scale. These can include nanophotonic, plasmonic, and metamaterials components and systems.
This course will aim to introduce students to computational techniques employed in current design and research efforts in nanophotonics. You will learn the strengths and weaknesses of each approach; what types of problems call for which one; and how your simulation will perform.
Techniques include eigenvalue problems, fast Fourier transforms, band structure calculations, rigorous-coupled wave analysis, and finite-difference time-domain. Applications include photovoltaics, thermal management, radiative control, and nonlinear optics. It is expected to be useful for graduate students interested in incorporating these techniques into their projects or thesis research.
Upcoming start dates
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- Virtual Classroom
Who should attend?
- This course is intended for audiences with a background in the physical sciences or engineering.
- Basic familiarity with the principles of Maxwell's equations, covered in a first year class on physics, is needed.
- Some working knowledge of integral and vector calculus, as well as basic linear algebra, is assumed.
- Prior experience with basic programming techniques and algorithms is useful but not strictly required; pointers to web-based resources covering these background topics will be available.
Week 1: Photonic Bandstructures
- Bloch Theorem
- 1D Bandstructures
- 2D Bandstructures
- Photonic Crystals
Week 2: Photonic Bandstructures(continued)
- Photonic Crystals
- Photonic Bandstructure
- Simulation using MIT Photonic Bands (MPB)
Week 3: Transfer Matrices
- Ray Optical Matrices
- Wave Optics Transfer Matrices
- Wave Optics S-Matrices
- Photonic Simulations
Week 4: Time-Domain Simulations
- Finite Difference Time Domain Method
- MEEP: An FDTD Solver
- Light Trapping in Photovoltaics
- Using MEEP
- MEEP Resonators
- MEEP: Photonic Bandstructures
- FDTD Validation Against Experiment
- Local Density of States
Week 5: Finite-Element Methods
- Simulating Bandstructures in FDTD
- Beam Propagation Method
- Finite Element Method (FEM)
- An FEM Waveguide Mode Solver
- Thermal Transport
- FEM Modeling
- Blackbody Radiation
Course delivery details
This course is offered through Purdue University, a partner institute of EdX.
8-9 hours per week
- Verified Track -$750
- Audit Track - Free
Certification / Credits
What you'll learn
- Photonic bandstructures
- Transfer matrices
- Time-domain simulations
- Finite-element methods
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