The­ory and Design of Phase-locked Loops

Event no:

L.048.26013

Event type:

Lecture V2, Exercise Ü2

Credit points:

6

Time mode:

Winter term

Time and place:

For information on the venue and time of the event, please refer to PAUL

Brief description

This lecture discusses the working and fundamental theory of integrated photonic devices, constraints involved in the device designs and overcoming strategies.

Pre-requisites

  • Knowledge on electromagnetic fields and waves

  • Experience with MATLAB/Python scripting would be beneficial

Contents:

  1. Introduction 

    • Historical evolution of integrated photonics and relevance in today’s world

    • Brief overview on the required background theory 

      • Electromagnetic waves and Maxwell’s equations

      • EM waves propagation in different media

  2. Theory of optical waveguides: Device #0

    • 1-D waveguide analysis

      • Ray optics model 

      • Vector wave equation and boundary conditions 

    • 2-D waveguide analysis

      • Overview of waveguide platforms and effective index method 

      • Overview of the full vectorial method 

      • Dispersion, polarization and orthogonality of guided modes 

  3. Coupled-mode theory: analytical formulation 

  4. Passive integrated photonic devices

    • Directional coupler (DC): Device #1 

    • Multi-mode interferometers (MMI): Device #2 

    • Distributed Bragg reflector (DBR): Device #3 

  5. Tunable/active integrated photonic devices

    • Mach-Zehnder interferometer (MZI) / modulator (MZM): Device #4 

    • Microring resonators (MRR) / modulator (MRM): Device #5 

    • Overview of phase shifters: thermal, electro-optic and MEMS-based 

  6. Fabrication variability and tolerances of the integrated photonic devices 

  7. Overview of photonic integrated circuit (PIC) analysis, introduction to compact-modeling and electronic-photonic design automation (EPDA)

Literature:

  • Graham T. Reed, “Silicon Photonics: the state of the art”, Wiley, 4th edition, 2008

  • Chrostowski, Lukas, and Michael Hochberg. “Silicon photonics design: from devices to systems”. Cambridge University Press, 2015.

  • More references will be listed in the lecture notes

Con­tact

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Dr. Ashitosh Velamuri

System and Circuit Technology / Heinz Nixdorf Institut

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