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Peter Bermel and Sayan Roy

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.

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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.

Students taking this course will be required to complete four (4) proctored exams using the edX online Proctortrack software. Completed exams will be scanned and sent using Gradescope for grading by Professor Bermel.

Recommended Textbook for the course:
Photonic Crystals: Molding the Flow of Light by J.D. Jaonnopoulos, S.G.Johnson, J.N. Winn, and R.B. Meade, Princeton University Press, 2008
ISNB Number: 9780691224568

Nanophotonic Modeling is one course in a growing suite of unique, 1-credit-hour short courses being developed in an edX/Purdue University collaboration. Students may elect to pursue a verified certificate for this specific course alone or as one of the six courses needed for the edX/Purdue MicroMasters program in Nanoscience and Technology. For further information and other courses offered and planned, please see the Nanoscience and Technology page.

Courses like this can also apply toward a Master's Degree in Electrical and Computer Engineering for students accepted into the full master’s program at Purdue University.

What you'll learn

  • Photonic bandstructures
  • Transfer matrices
  • Time-domain simulations
  • Finite-element methods

What's inside

Learning objectives

  • Photonic bandstructures
  • Transfer matrices
  • Time-domain simulations
  • Finite-element methods

Syllabus

Week 1: Photonic Bandstructures
Bloch Theorem
1D Bandstructures
2D Bandstructures
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Photonic Crystals
Week 2: Photonic Bandstructures (continued)
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
CAMFR
Metasurfaces
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

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Explores optical materials and devices that have dimensions wavelengths the size of nanometers
Designed for graduate students to help them complete design and research efforts in nanophotonics
Teaches computational techniques relevant to nanophotonics
May be used towards a master's degree for some students
Recommended textbook is not freely available online
Requires completing four proctored exams with paid software

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Career center

Learners who complete Nanophotonic Modeling will develop knowledge and skills that may be useful to these careers:
Photonics Engineer
A Photonics Engineer designs, develops, and tests photonic devices and systems. This course can help you build a foundation in the principles of photonics and the techniques used to design and simulate photonic devices.
Optical Engineer
An Optical Engineer designs and develops optical systems and components used in a variety of industries. This course will provide you with the knowledge and skills needed to analyze and design photonic devices for applications such as telecommunications, imaging, and sensing.
Nanotechnology Engineer
A Nanotechnology Engineer designs and develops nanotechnology-based devices and systems. This course can help you build a foundation in the principles of nanophotonics and the techniques used to design and simulate nanophotonic devices.
Materials Scientist
A Materials Scientist researches and develops new materials for use in various industries, including optics, electronics, and energy. This course can help you build a foundation in the optical properties of materials and how to design and simulate photonic devices.
Electrical Engineer
An Electrical Engineer designs, develops, and tests electrical systems and components. This course can help you build a foundation in the electrical engineering principles used to design and simulate photonic devices.
Computational Physicist
A Computational Physicist uses computer simulations to solve physics problems. This course can help you build a foundation in the computational techniques used to design and simulate photonic devices.
Research Scientist
A Research Scientist conducts research in a variety of fields, including optics, photonics, and materials science. This course can help you build a foundation in the principles of photonics and the techniques used to design and simulate photonic devices.
Aerospace Engineer
An Aerospace Engineer designs, develops, and tests aerospace systems and components. This course can help you build a foundation in the aerospace engineering principles used to design and simulate photonic devices.
Nuclear Engineer
A Nuclear Engineer designs, develops, and tests nuclear systems and components. This course can help you build a foundation in the nuclear engineering principles used to design and simulate photonic devices.
Software Engineer
A Software Engineer designs, develops, and tests software applications. This course can help you build a foundation in the software development techniques used to design and simulate photonic devices.
Mechanical Engineer
A Mechanical Engineer designs, develops, and tests mechanical systems and components. This course can help you build a foundation in the mechanical engineering principles used to design and simulate photonic devices.
Chemical Engineer
A Chemical Engineer designs, develops, and tests chemical processes and products. This course can help you build a foundation in the chemical engineering principles used to design and simulate photonic devices.
Environmental Engineer
An Environmental Engineer designs, develops, and tests environmental systems and technologies. This course can help you build a foundation in the environmental engineering principles used to design and simulate photonic devices.
Biomedical Engineer
A Biomedical Engineer designs, develops, and tests biomedical devices and systems. This course can help you build a foundation in the biomedical engineering principles used to design and simulate photonic devices.
Data Scientist
A Data Scientist analyzes data to extract meaningful insights. This course can help you build a foundation in the data analysis techniques used to design and simulate photonic devices.

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