Adaptable Nonstandard FDTD Schemes for the Precise Evaluation of Electrostatic Fields


  • Tadao Ohtani Asahikawa 070-0841, Japan
  • Yasushi Kanai Engineering Department, Niigata Institute of Technology Kashiwazaki, 945-1195, Japan
  • Nikolaos V. Kantartzis ECE Department, Aristotle University of Thessaloniki GR-54124 Thessaloniki, Greece


FDTD methods, nonstandard (NS)-FDTD techniques, numerical analysis, radar cross section


The reduction of the total computational overhead in the design of complex geometries, such as modern aircrafts, is a very challenging problem, particularly when electrostatic fields (ESF) for lightning protection, are considered. To this aim, an efficient ESF evaluation scheme, based on the nonstandard finite-difference time-domain (NS-FDTD) method, is proposed. Combining the total-field/scattered-field (TF/SF) concept with a distinct sine-wave form, the novel technique cancels the accumulative errors caused by the static field component. Numerical results reveal that the featured method enables the use of high-frequency discretization models to ESF problems, with notable accuracy and seriously decreased design costs.


Download data is not yet available.


D. Morgan, C. J. Hardwick, S. J. Haigh, and A. J. Meakins, “The interaction of lightning with aircraft and the challenges of lightning testing,” J. Aerospace Lab., no. 5, art. no. AL05-11, 2012.

R. Majkner, “Overview - Lightning protection of aircraft and avionics,” LI IEEE EMC, no. 10, 2003. lightning_protection_aircraft_avionics.pdf

M. Eberle, R. Marcordes, D. Jaeger, R. A. Perala, A. Plumer, and H. Schwarz, “Lightning protection design methodology for a very large non rigid airship,” SAE, art. no. 2001-01-2931, 2001.

R. Gordon, T. Arola, K. Wendel, O. Rynanen, and J. Hyttinen, “Accuracy of numerical methods by calculating static and quasistatic electric fields,” in Proc. Estonian Acad. Sci. Eng., 2006, no. 12, pp. 262-283.

R. M. O’Donnell, “Radar systems engineering lecture 7 part 2 radar cross section,” IEEE New Hampshire Section Guest Lecturer, 2010.

J. Burke and A. Poggio, Numerical Electromagnetic Code 2 (NEC2), 1981.

A. Taflove and S. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method. Norwood, MA: Artech House, 2005.

J. B. Cole, “High-accuracy Yee algorithm based on nonstandard finite differences: New developments and verifications,” IEEE Trans. Antennas Propag., vol. 50, no. 9, pp. 1185-1191, Sep. 2002.

J. A, Stratton, Electromagnetic Theory. New York, NY: McGraw-Hill, 1941, ch. III, sec. 3.24 and ch. I, sec. 1.22.

Space Propulsion Laboratory, Aircraft Lightning Strike Research, Massachusetts Institute of Technology, 2012.




How to Cite

Tadao Ohtani, Yasushi Kanai, & Nikolaos V. Kantartzis. (2020). Adaptable Nonstandard FDTD Schemes for the Precise Evaluation of Electrostatic Fields. The Applied Computational Electromagnetics Society Journal (ACES), 35(11), 1270–1271. Retrieved from