**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 (All Classes are in Minto 6030 - Except the first which is as scheduled)**

- Jan. 9: Modeling Approaches : (Rules, equations and fields. Analytical versus Numerical. What to Model? MD and Monte Carlo. Differential Eq.) Slides
- Jan. 11: PA-1 Matlab review and help Instructions
- Jan 12: Lab-1 - Git Introduction Instructions Aaron's git guide GitHub Guides GitHub Help
- Jan. 16: Atomic structure, Bonding and Molecular Dynamics (Kasap (1.1- 1.8)) Slides Code in Git Repo
- Jan. 18:PA-2 - MD Code Instructions
- Jan 19: Lab-2 - Assignment 1
- Jan. 23: Kinetic Theory and Monte-Carlo (Kasap (1.1- 1.8)) Slides Code in Git Repo
- Jan 25: Lab-3 1D electron scattering and resistance Instructions and Assign. 1
- Jan. 26: PA-3 1D electron scattering and resistance and Assign. 1.
- Jan. 30: Conduction, Classical Solids, electrons, drift, resistance, hall effect, non-metals) Slides Code in Git Repo
- Feb. 1: PA-4 - Laplace equation by iterationInstructions
- Feb 1: Lab-4: Assignment 1 or 2
- Feb 6: Quantum Mechanics and Waves PPT Slides Code in Git Repo
- Feb 8: PA-5 Implicit solutions and modes Instructions
- Feb 9: Lab-5: PA-5/Assignment 2
- Feb 13: Transport and continuity equations (Kasap (5.1-5.6)) Slides Code in Git Repo
- Feb 14: PA-8 Transport code modification Instructions
- Feb 15: Assignment 2
- Feb. 27: EM - Yee Cell, Waveguides and z propagation PPT Slides
- March 1: PA-6 Ridge waveguides Instructions Mode Solver Code Mode Solver Paper
- March 2: Lab-6: Assignment 3
- March 6: Yee Cell Lecture Slides
- March 8: PA-7 Yee Cell code modification Instructions Yee Cell Code
- March 9: Lab-6 Assignment 3
- March 13: MNA and Compact modeling : (MNA formulation. Physical and non Physical compact models. Neural Nets. Convergence and robustness) Slides
- March 14 PA-9: MNA Building Instructions
- March 15: Lab-7 Assignment 3
- March 20: Diodes, BJT and Mosfet device theory and compact modeling - Kasap (6.1-6.8) Slides
- March 22: PA-10 Device Compact Models Instructions
- March 23: Lab-8 Assignment 4
- March 27: LEDs, Lasers and Optical circuit simulation: Slides
- March 29: Assignment 4
- March 30: Good Friday
- April 3: Detailed Device Modeling : (ElectroMagnetics, Semiconductor devices, comsol) Slides
- April 5: Review/Presentations Key Slides - Final 2014 - A few Questions
- April 6: 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 4th 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

** 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. 25th 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 **

** Week 7 - Reading Week**

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 18th 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 8 - ElectroMagnetic Simulation - waveguide propagation and scattering (modes) **

** Week 9 ElectroMagnetic Simulation (Yee Cell FDFD/FDTD)**

** Week 10 - Circuit modeling and compact models **

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 8th 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 -- Device Models (Diodes/BJT/MOSFET)**

** Week 12: Optical circuits and devices **

** Week 13: Detailed Device Simulators (Commercial) **