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2026-05-14
A Unified Conformal FDTD Formulation Based on Harmonic Mean Weighting for Dielectric and PEC Objects
By
Progress In Electromagnetics Research C, Vol. 170, 202-209, 2026
Abstract
To address the need to differentiate between dielectric and perfect electric conductor (PEC) conformal methods in the finite-difference time-domain (FDTD), this study proposes a conformal approach based on the harmonic mean to achieve a unified formulation. In this approach, the relevant electromagnetic parameters are weighted using harmonic mean weighting, enabling a conformal implementation within the FDTD framework. Both dielectric and PEC conformality are incorporated into a single mathematical framework, allowing for a unified treatment in the FDTD. The proposed method provides a consistent formulation that can be seamlessly integrated with standard FDTD procedures while ensuring high compatibility and accuracy of the results. The conformal method based on harmonic mean requires only 60% of the computational time and 36% of the memory compared to the CST method, indicating its high computational efficiency. Furthermore, it demonstrates strong applicability to complex biological models, such as specific absorption rate (SAR) calculations in the human head. This approach is particularly well suited for RF device design and biomedical applications, offering improved modeling efficiency and reliability.
Citation
Cuihua Li, Haofeng Wang, Jun Zheng, and Minquan Li, "A Unified Conformal FDTD Formulation Based on Harmonic Mean Weighting for Dielectric and PEC Objects," Progress In Electromagnetics Research C, Vol. 170, 202-209, 2026.
doi:10.2528/PIERC26041401
References

1. Taflove, A., Computational Electrodynamics, Artech House, 2005.

2. Niu, Kaikun, Zhixiang Huang, Minquan Li, and Xianliang Wu, "Optimization of the artificially anisotropic parameters in WCS-FDTD method for reducing numerical dispersion," IEEE Transactions on Antennas and Propagation, Vol. 65, No. 12, 7389-7394, Dec. 2017.
doi:10.1109/tap.2017.2758844        Google Scholar

3. Holland, R., "Pitfalls of staircase meshing," IEEE Transactions on Electromagnetic Compatibility, Vol. 35, No. 4, 434-439, Nov. 1993.
doi:10.1109/15.247856        Google Scholar

4. Dey, S. and R. Mittra, "A locally conformal finite-difference time-domain (FDTD) algorithm for modeling three-dimensional perfectly conducting objects," IEEE Microwave and Guided Wave Letters, Vol. 7, No. 9, 273-275, Sep. 1997.
doi:10.1109/75.622536        Google Scholar

5. Xiao, Tian and Q. H. Liu, "Enlarged cells for the conformal FDTD method to avoid the time step reduction," IEEE Microwave and Wireless Components Letters, Vol. 14, No. 12, 551-553, Dec. 2004.
doi:10.1109/lmwc.2004.837384        Google Scholar

6. Beggs, J. H., R. J. Luebbers, K. S. Yee, and K. S. Kunz, "Finite-difference time-domain implementation of surface impedance boundary conditions," IEEE Transactions on Antennas and Propagation, Vol. 40, No. 1, 49-56, Jan. 1992.
doi:10.1109/8.123352        Google Scholar

7. Sarto, M. S., "A new model for the FDTD analysis of the shielding performances of thin composite structures," IEEE Transactions on Electromagnetic Compatibility, Vol. 41, No. 4, 298-306, Nov. 1999.
doi:10.1109/15.809798        Google Scholar

8. Fujita, Kazuhiro, "Hybrid Newmark-conformal FDTD method for multiphysics modeling of short spark gaps with curved metallic surfaces," IEEE Journal on Multiscale and Multiphysics Computational Techniques, Vol. 2, 66-77, 2017.
doi:10.1109/jmmct.2017.2701827        Google Scholar

9. Xiao, Tian and Qing Huo Liu, "A 3-D enlarged cell technique (ECT) for the conformal FDTD method," IEEE Transactions on Antennas and Propagation, Vol. 56, No. 3, 765-773, Mar. 2008.
doi:10.1109/tap.2008.916876        Google Scholar

10. Zheng, Hongxing, Yue Wu, Kanglong Zhang, Lu Wang, Mengjun Wang, and Erping Li, "Wide-band modeling on-chip spiral inductors using frequency-dependent conformal ADI-FDTD method," IEEE Access, Vol. 7, 184940-184949, 2019.
doi:10.1109/access.2019.2960284        Google Scholar

11. Liu, Hanhong, Xiaoying Zhao, Xiang-Hua Wang, Shunchuan Yang, and Zhizhang Chen, "An unconditionally stable conformal LOD-FDTD method for curved PEC objects and its application to EMC problems," IEEE Transactions on Electromagnetic Compatibility, Vol. 64, No. 3, 827-839, Jun. 2022.
doi:10.1109/temc.2021.3139910        Google Scholar

12. Hu, Xiao-Juan and De-Biao Ge, "Study on conformal FDTD for electromagnetic scattering by targets with thin coating," Progress In Electromagnetics Research, Vol. 79, 305-319, 2008.
doi:10.2528/pier07101902        Google Scholar

13. Ni, Jianfu, Xue Han, Qi Lu, and Sixin Liu, "Simulation of borehole radar responses to rough fractures based on 3-D conformal FDTD," IEEE Transactions on Geoscience and Remote Sensing, Vol. 60, 1-15, 2022.
doi:10.1109/tgrs.2022.3172966        Google Scholar

14. Gabriel, C., S. Gabriel, and E. Corthout, "The dielectric properties of biological tissues: I. Literature survey," Physics in Medicine & Biology, Vol. 41, No. 11, 2231-2249, 1996.
doi:10.1088/0031-9155/41/11/001        Google Scholar

15. Zhang, Huan Huan, Zhong Chao Lin, Wei E. I. Sha, Wai Wa Choi, Kam Weng Tam, Daniel Garcia Donoro, and Guangming Shi, "Electromagnetic-thermal analysis of human head exposed to cell phones with the consideration of radiative cooling," IEEE Antennas and Wireless Propagation Letters, Vol. 17, No. 9, 1584-1587, Sep. 2018.
doi:10.1109/lawp.2018.2856365        Google Scholar