Yee/FDTD

The purpose of this library is to provide accurate and efficient radiation and absorbing boundary conditions to truncate the computational domain for the simulation of wave propagation problems in the time domain. This particular component of the library is specialized to second order finite difference time domain (FDTD) simulations, in particular, the Yee scheme.

This library utilizes a local boundary condition formulation called Complete Radiation Boundary Conditions (CRBCs). The CRBCs have been implemented in a thin layer to deal with the staggered space-time grid common in FDTD discretizations and we refer to this construction as a Double Absorbing Boundary (DAB) layer. The major benefit of the CRBC/DAB boundary construction is that there exists a clear notion of convergence and it is possible to choose optimal parameters a priori.

Downloads and Respository

The initial release can be download at yee_crbc_lib_1.0.0.tar.gz.

The code is also hosted in a read only repository that may contain bug fixes and improvements between releases. RBCPack github repository

Licensing

The code is released under the LGPL v3. See http://www.gnu.org/licenses/lgpl-3.0.en.html. If a different license is required, please contact us.

Documentation

User Guides

• Quickstart
  • Install and Running the Included Examples
  • Transverse-Electromagnetic Example Interfacing the DAB/CRBC library with an External Yee Scheme
  • 3D Waveguide Example using ToyFDTD code and the DAB/CRBC Library
• Installation
  • CMake
  • Uninstalling
• Supported Problems
  • Materials
  • Initial Conditions
  • Other Boundary Conditions
• General Usage
  • Typical Work Flow
  • Choice of Parameters
• Examples
  • Simple Examples
  • Advanced Examples

In addition, Doxygen generated documentation is available: Doxygen Documentation

Known Issues

There are currently no known issues.

Theory, Results, and Publications

• A Brief Overview of Theory
  • Overview of Complete Radiation Boundary Conditions
  • Overview of the Double Absorbing Boundary
  • Discretization of the DAB
• Implementation Examples in Matlab
  • 1D Klein-Gordon
  • 2D Wave Equation
  • 2D Klein-Gordon with a Corner
• Numerical Results
  • Solutions
  • Free Space Transverse Magnetic Problem
  • Transverse Magnetic in a Wave Guide
  • 3D Wave Guide
  • Parallel Plates
  • Free Space
• Related Publications

Acknowledgments

This work was supported in part by ARO Grant W911NF-09-1-0344 and DoD STTR A11A-015-0067. All conclusions are those of the authors and do not necessarily reflect the views of the ARO or DoD.