An Unstructured Mesh Transformation FDTD Method for the TM Mode Equations
Abstract
We introduce a new finite-difference time-domain (FDTD) method for solving the TM (transverse magnetic) mode reduction of Maxwells equations with complicated material interfaces. The method uses an unstructured quadrilateral mesh intended to conform to the complicated geometry of material interfaces. Using a quadrilateral to unit-square local coordinate transformation, weremap all the field components from the physical grid to a computational grid consisting of unit-squares. On the computational grid of unit-squares we update the fields in time using the usual FDTD field updates. The local coordinate remap, however,changes a scalar material on the physical space to an anisotropic material on computational space; we handle the mixed components of the anisotropic material by interpolating the non-collocated field components. Finally, we resolve material parameter jumps across interfaces using a harmonic-mean. By testing our method on the TM01 mode in partially filled infinite cylindrical cavity, we verify that the method converges, is second order accurate, and maintains stability.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 13, 2022
- Accession Number
- AD1202898
Entities
People
- Armando Albornoz-basto
- Bud Denny
- M. Brio
Organizations
- Air Force Research Laboratory
- University of Arizona