Expert Needed for Solving Semiconductor Transport Equations Using FEM (Project in German) due March 15th
Budget: €30 – €250 EUR
We are seeking a freelancer with expertise in the Finite Element Method (FEM) and semiconductor physics to assist with solving a set of semiconductor transport equations for a MOS-transistor simulation, provided in German. The project entails discretizing the Poisson equation and the continuity equations for electron and hole charge carriers, applying appropriate boundary conditions, and solving the resulting nonlinear system of equations.
Objectives:
Discretization of Equations: Employ FEM to discretize the Poisson equation and the electron and hole continuity equations for a 2D MOS-transistor model, as described in a German-language exercise sheet.
Boundary Conditions: Implement Dirichlet and Neumann boundary conditions in alignment with the semiconductor device geometry specified in the exercise.
Nonlinear System Solution: Solve the coupled nonlinear system to determine electron and hole concentration distributions, along with the electrostatic potential within the device.
Parameter Determination: Calculate necessary physical parameters such as dielectric constant, electron and hole mobilities, recombination rates using the Shockley-Read-Hall model, and realistic doping concentrations for the source and drain areas, based on the information provided in the exercise.
Simulation and Visualization: Conduct simulations to obtain the I-V characteristics of the MOS-transistor for various gate voltages and visually represent the distribution of electron/hole concentration and electrostatic potential within the device.
Skills Required:
Proficiency in numerical methods, especially in the Finite Element Method (FEM).
Strong background in semiconductor physics and a comprehensive understanding of semiconductor transport equations.
Experience with mathematical software or programming languages for FEM implementation (e.g., MATLAB, COMSOL, Python with SciPy and NumPy libraries), with the ability to work with documentation and resources in German.
Capability to visualize and interpret simulation results effectively.
Deliverables:
A comprehensive report detailing the methodology for discretizing the equations and applying boundary conditions, written in either English or German.
The source code for solving the nonlinear system and executing the simulation.
Visualizations of the simulation outcomes, including plots of I-V characteristics, and the distributions of electron/hole concentration and electrostatic potential.
An analysis of the simulation results, highlighting key findings.
This project demands meticulous attention to both the mathematical formulations and the physical principles governing semiconductor devices. The exercise materials and project documentation are in German, so proficiency in German is essential for accurately understanding and addressing the project requirements. If you possess the required expertise and are interested in tackling this challenging yet rewarding project, we eagerly await your proposal.
Objectives:
Discretization of Equations: Employ FEM to discretize the Poisson equation and the electron and hole continuity equations for a 2D MOS-transistor model, as described in a German-language exercise sheet.
Boundary Conditions: Implement Dirichlet and Neumann boundary conditions in alignment with the semiconductor device geometry specified in the exercise.
Nonlinear System Solution: Solve the coupled nonlinear system to determine electron and hole concentration distributions, along with the electrostatic potential within the device.
Parameter Determination: Calculate necessary physical parameters such as dielectric constant, electron and hole mobilities, recombination rates using the Shockley-Read-Hall model, and realistic doping concentrations for the source and drain areas, based on the information provided in the exercise.
Simulation and Visualization: Conduct simulations to obtain the I-V characteristics of the MOS-transistor for various gate voltages and visually represent the distribution of electron/hole concentration and electrostatic potential within the device.
Skills Required:
Proficiency in numerical methods, especially in the Finite Element Method (FEM).
Strong background in semiconductor physics and a comprehensive understanding of semiconductor transport equations.
Experience with mathematical software or programming languages for FEM implementation (e.g., MATLAB, COMSOL, Python with SciPy and NumPy libraries), with the ability to work with documentation and resources in German.
Capability to visualize and interpret simulation results effectively.
Deliverables:
A comprehensive report detailing the methodology for discretizing the equations and applying boundary conditions, written in either English or German.
The source code for solving the nonlinear system and executing the simulation.
Visualizations of the simulation outcomes, including plots of I-V characteristics, and the distributions of electron/hole concentration and electrostatic potential.
An analysis of the simulation results, highlighting key findings.
This project demands meticulous attention to both the mathematical formulations and the physical principles governing semiconductor devices. The exercise materials and project documentation are in German, so proficiency in German is essential for accurately understanding and addressing the project requirements. If you possess the required expertise and are interested in tackling this challenging yet rewarding project, we eagerly await your proposal.