Skip to content

Analysis of curved and angled surfaces on a Cartesian mesh using a novel finite-difference time-domain algorithm

Research output: Research - peer-reviewArticle

Original languageEnglish
Pages (from-to)2460 - 2465
Number of pages6
JournalIEEE Transactions on Microwave Theory and Techniques
Issue number10
StatePublished - Oct 1995


The widely accepted finite-difference time-domain algorithm, based on a Cartesian mesh, is unable to rigorously model the curved surfaces which arise in many engineering applications, while more rigorous solution algorithms are inevitably considerably more computationally intensive. A nonintensive, but still rigorous, alternative to this approach has been to incorporate a priori knowledge of the behavior of the fields (their asymptotic static field solutions) into the FDTD algorithm. Unfortunately, until now, this method has often resulted in instability. In this contribution an algorithm (denoted `SFDTD' for second-order finite difference time domain) is presented which uses the static field solution technique to accurately characterize curved and angled metallic boundaries. A hitherto unpublished stability theory for this algorithm, relying on principles of energy conservation, is described and it is found that for the first time a priori knowledge of the field distribution can be incorporated into the algorithm with no possibility of instability. The accuracy of the SFDTD algorithm is compared to that of the standard FDTD method by means of two test structures for which analytic results are available

Additional information

Publisher: Institute of Electrical and Electronics Engineers (IEEE) Rose publication type: Journal article Sponsorship: The authors would like to thank Prof. J.P. McGeehan for provision of facilities at the Centre for Communications Research, and the present and past members of the Centre for Communications Research for their assistance in developing the FDTD program. Terms of use: Copyright © 1995 IEEE. Reprinted from IEEE Transactions on Microwave Theory and Techniques. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Bristol's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to By choosing to view this document, you agree to all provisions of the copyright laws protecting it.

    Research areas

  • finite-difference time-domain method (FDTD)

Download statistics

No data available





View research connections

Related faculties, schools or groups