An Unstructured Mesh Transformation FDTD Method for the TM Mode Equations

Bud Denny, Armando Albornoz-Basto, Moysey Brio

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We introduce a new finite-difference time-domain (FDTD) method for solving the TM (transverse magnetic) mode reduction of Maxwell's 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, we remap 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-colocated field components. Finally, we resolve material parameter jumps across interfaces using a harmonic-mean. By testing our method on the TM0,1 mode in partially filled infinite cylindrical cavity, we verify that the method converges, is second order accurate, and maintains stability.

Original languageEnglish (US)
Title of host publication2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1112-1113
Number of pages2
ISBN (Electronic)9781665496582
DOIs
StatePublished - 2022
Event2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Denver, United States
Duration: Jul 10 2022Jul 15 2022

Publication series

Name2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings

Conference

Conference2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022
Country/TerritoryUnited States
CityDenver
Period7/10/227/15/22

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Signal Processing
  • Instrumentation

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