**ELEC 4700 - The Physics and Modeling of Advanced Devices and
Technologies**

T. Smy

ME 4154

**Course Description:**

The course deals with numerical modeling of physical systems. It focuses on a number of numerical techniques based on both event/agent behavour (MD and MonteCarlo) and the use of finite differences for simulating distributed systems. Examples from the fabrication, operation and modeling of advanced
devices for information technology are used. Topics: numerical techniques, physics of materials, quantum
mechanics of solids, optical transitions, physical analysis and models for
state-of-the-art electronic/optical technologies and materials. Technologies:
MOS and III-V based transistors, solid-state optical devices, MEMS and
nano-technology based devices.

Book of use but not needed::

**Principles
of Electronic Materials and Devices**

Course Requirements:

Exam 35%

Assignments/Projects: 45%

PA Session Work (pass/fail): 20%

**************

Problem Assignments:

You will get one free pass on a PA without a Doctors note.

Assignments and Project:

There will be 4 assignments.
Assignments will be submitted and marked by the TA and then the TA will review the assignment and mark with the student.

The last two are optional and can be replaced with a simulation project. You will have to do a report and presentation on the project.
*The topic should be discussed with the instructor.*

Toy Simulators and Git

A variety of modeling methods will be explored during the class (Monte-Carlo, Molecular Dynamics and Finite Difference are the primary ones.) Matlab code presenting "toy" simulators used to illustrate these methods is in the git repository at 4700Code. For some of the PA sessions you will be modifying this code.

Students must create a github account and use it for their assignments and PA sessions. For PA's you will use this account to download (clone) the course repo's for modification and to upload your own code. For the assignments you should use git locally to maintain a commit history and then when the assignment is due you should upload the repo to your account for marking.

Note: your account is **open**. If you upload your assignment code onto github before the due date your fellow students have access to it. So if you do not want to provide this access only create the repo on github when it is due. **Although collaboration is encouraged mindless copying is not! So learning from others is good, but write your own code!**

**Course outline**

- Jan. 6 (Monday): Modeling Approaches : (Rules, equations and fields. Analytical versus Numerical. What to Model? MD and Monte Carlo. Differential Eq.) Slides
- Jan. 8: Lab-1 Matlab review and help Instructions
- Jan 10: PA-1 - Git Introduction Instructions Aaron's git guide GitHub Guides GitHub Help
- Jan. 13: Atomic structure, Bonding and Molecular Dynamics (Kasap (1.1- 1.8)) Slides Code in Git Repo
- Jan. 15: Lab-2 - Assignment 1
- Jan. 17: PA-2 - MD Code Instructions
- Jan. 20: Kinetic Theory and Monte-Carlo (Kasap (1.1- 1.8)) Slides Code in Git Repo
- Jan. 22: Lab-3 Assignment 1
- Jan. 24: PA-3 1D electron scattering and resistance Instructions.
- Jan. 27: Conduction, Classical Solids, electrons, drift, resistance, hall effect, non-metals) Slides Code in Git Repo
- Jan. 29: Lab-4 Assignment 1 or 2
- Jan. 31: PA-4 - Laplace equation by iterationInstructions
- Feb. 3: Quantum Mechanics and Waves PPT Slides Code in Git Repo
- Feb. 5: Lab-5 PA-5/Assignment 2
- Feb. 7: PA-5 Implicit solutions and modes Instructions
- Feb. 10: Transport and continuity equations (Kasap (5.1-5.6)) Slides Code in Git Repo
- Feb. 12: Lab-6 - Assignment 2
- Feb. 14: PA-6 Transport code modification Instructions
- Feb 24: MNA and Compact modeling : (MNA formulation. Physical and non Physical compact models. Neural Nets. Convergence and robustness) Slides
- Feb 26: Lab-7 Assignment 3
- Feb 28 PA-7: MNA Building Instructions
- March 2: Diodes, BJT and Mosfet device theory and compact modeling - Kasap (6.1-6.8) Slides
- March 4: Lab-8 Assignment 3
- March 6: PA-8 Device Compact Models Instructions
- March 9: EM - Yee Cell, Waveguides and z propagation PPT Slides
- March 11: Lab-9: Assignment 3
- March 13: PA-9 Ridge waveguides Instructions Mode Solver Code Mode Solver Paper
- March 16: Yee Cell Lecture Slides
- March 18: Lab-10 Assignment 4
- March 20: PA-10 Yee Cell code modification Instructions Yee Cell Code
- March 23: LEDs, Lasers and Optical circuit simulation: Slides
- March 25: Review and Final Preparation Slides Final 2016
- March 27: Assignment 4
- March 30: Canceled (come see my 1052 lecture on Chaos).
- April 1: (In PA 114) Presentations, Review, and Final Preparation Slides
- April 3: Assignment 4

** Week 1 - Modeling Introduction and Source Version Control (Git) **

Assignment 1: For your write up it should be a little bit more like a lab report than an assignment. Not just a set of simple answers, but also some discussion. Think of it as an numerical experiment.

**It is due on Sunday Feb 2nd at 23:59.**

There will be workshops in weeks 2-4. At these workshops you show something and you can get help! Assignment 1 Assignment Guidelines Matlab Publishing

** Week 2 - Molecular Dynamics modeling **

** Week 3 - Monte-Carlo Modeling**

Assignment 2: This assignment deals with solving a PDE (Laplace's Eq) with Finite Difference. A primary point is the limits of both numerical and analytical methods of solution. So you should think of it as a numerical experiment/lab.

**It is due on Sunday Feb. 23th at 23:59.**

There will be workshops in weeks 5 and 6. At these workshops you show something and you can get help! Assignment 2 Assignment Guidelines

** Week 4 - Conduction, Electrostatics, SS Diffusion (iteration)**

** Week 5 - Matrices and Diffusion, Harmonic Wave Equation, Eigenvalues and Modes (QM-SCE)**

** Week 6 - Time Domain Simulation - Transport and differential equations **

Assignment 3: This assignment first modifies your MC code from the 1st assignment to add an electric field. Then it should use your FD code to calculate and electric field for use in your MC code. If your FD code was not as good as it should be I can provide a matlab function that can be used.

**It is due on the March 15th Sunday at 23:59.**

There will be workshops on weeks 8-10. At this workshop you show something and you can get help! Assignment 3

** Week 7 - Reading Week**

** Week 8 - Circuit modeling and compact models **

** Week 9 -- Device Models (Diodes/BJT/MOSFET)**

** Week 10 - ElectroMagnetic Simulation - waveguide propagation and scattering (modes) **

Assignment 4: In this assignment you will create a very simple circuit simulator implementing time integration using FD and also use Monte-Carlo techniques to simulate noise in a resistor.

**It is due on the April 5th Sunday at 23:59.**

There will be workshop on weeks 11 and 12. At this workshop you show something and you can get help! Assignment 4

** Week 11 ElectroMagnetic Simulation (Yee Cell FDFD/FDTD)**

** Week 12: Optical circuits and devices **

** Week 13 : Review and Presentations**