Efficient and accurate finite-difference time-domain analysis of resonant structures using the Blackman–Harris window function
✍ Scribed by Yinchao Chen; Ming-Sze Tong; Raj Mittra
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 143 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0895-2477
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✦ Synopsis
In this paper, we present a technique, based on the principle of the frequency-domain con¨olution of a time-domain signature and a truncation window function, to process the electromagnetic field solution in a resonant structure deri¨ed by using the finite-difference ( ) time-domain FDTD algorithm. We show that the use of this technique enables us to substantially reduce the total number of iterations pro¨ided that certain criteria are imposed on the time and frequency resolutions, as well as on the Nyquist sampling rate. The con¨entional approach to terminating the time iteration is to employ a rectangular windowing ( ) RGW , which induces the unwanted Gibbs phenomenon in the frequency domain. To a¨oid this, we apply the Blackman᎐Harris window ( ) BHW function which modulates as well as truncates the computed time-domain electromagnetic signals. We demonstrate ¨ia a numerical experiment that the BHW modulation and truncation yield excellent results with only a small number of iterations, often only one-tenth of that needed in the RGW method.