Advanced search
Publication Cover
Journal of Electromagnetic Waves and Applications Volume 32, 2018 - Issue 6
Submit an article Journal homepage
99
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

An unconditionally stable technique for uncertainty assessment in random media based on the ADI scheme

Christos I. SalisDepartment of Informatics & Telecommunications Engineering, University of Western Macedonia, Kozani, Greece.View further author information
&
Theodoros T. ZygiridisDepartment of Informatics & Telecommunications Engineering, University of Western Macedonia, Kozani, Greece.Correspondence[email protected]
View further author information
Pages 671-684 | Received 06 Mar 2017, Accepted 10 Sep 2017, Published online: 01 Dec 2017

References

  • Tan T, Taflove A, Backman V. Single realization stochastic FDTD for weak scattering waves in biological random media. IEEE Trans Antennas Propag. 2013;61:818–828.
  • Smith SM, Furse C. A stochastic FDTD method for statistically varying biological tissues. IEEE Trans Antennas Propag. 2012;60(7):3343–3350.
  • Yee K. Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media. IEEE Trans Antennas Propag. 1966;14:302–307.
  • Hastings FD, Schneider JB, Brochat SL. A Monte-Carlo FDTD technique for rough surface scattering. IEEE Trans Antennas Propag. 1995;43(11):1183–1191.
  • Rong A, Cangellaris AC. Transient analysis of distributed electromagnetic systems exhibiting stochastic variability in material parameters. In: XXXth URSI General Assembly and Scientific Symposium; 2011 Aug 13--20; Istanbul, Turkey.
  • Austin ACM, Sarris CD. Efficient analysis of geometrical uncertainty in the FDTD method using polynomial chaos with application to microwave circuits. IEEE Trans Microw Theory Tech. 2013;61(12):4293–4301.
  • Ajayi A. Direct computation of statistical variations in electromagnetic problems [dissertation]. Nottingham: University of Nottingham; 2008.
  • Smith SM. Stochastic finite difference time domain [dissertation]. Provo (UT): University of Utah; 2011.
  • Salis C, Zygiridis T, Sarigiannidis P, et al. Unconditionally-stable time-domain approach for uncertainty assessment in transmission lines. In: 5th International Conference on Modern Circuits and Systems Technologies; 2016 May 12--14; Thessaloniki, Greece.
  • Namiki T. 3-D ADI-FDTD method-unconditionally stable time-domain algorithm for solving full vector Maxwell’s equations. IEEE Trans Microw Theory Tech. 2000;48(10):1743–1748.
  • Zhen F, Chen Z, Zhang J. Toward the development of a three-dimensional unconditionally stable finite-difference time-domain method. IEEE Trans. Microw Theory Tech. 2000;48(9):1550–1558.
  • Inan U, Marshall R. Numerical electromagnetics: the FDTD method. Cambridge: Cambridge University Press; 2011.
  • Stefanski T, Drysdade TD. Improved implementation of the Mur first-order absorbing boundary condition in the ADI-FDTD method. Microw Opt Technol Lett. 2008;50(7):1757–1761.
  • Hwang J-N, Chen F-C. Stability analysis of the Mur’s absorbing boundary condition in the alternating direction implicit finite-difference method. IET Microw Antennas Propag. 2007;1(3):597-601.
  • Taflove A, Hagness SC. Computational electrodynamics: the finite-difference time-domain method. Norwood (MA): Artech House; 2005.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.