TY - GEN
T1 - An Unstructured Mesh Transformation FDTD Method for the TM Mode Equations
AU - Denny, Bud
AU - Albornoz-Basto, Armando
AU - Brio, Moysey
N1 - Publisher Copyright:
© 2022 IEEE.
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
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U2 - 10.1109/AP-S/USNC-URSI47032.2022.9886068
DO - 10.1109/AP-S/USNC-URSI47032.2022.9886068
M3 - Conference contribution
AN - SCOPUS:85139766990
T3 - 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings
SP - 1112
EP - 1113
BT - 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022
Y2 - 10 July 2022 through 15 July 2022
ER -