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A Fast Algorithm for Wave Propagation from a Plane or a Cylindrical Surface

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Abstract

The newly developed Taylor-Interpolation-FFT (TI-FFT) algorithm dramatically increases the computational speeds for millimeter wave propagation from a planar (cylindrical) surface onto a “quasi-planar” (“quasi-cylindrical”) surface. Two different scenarios are considered in this article: the planar TI-FFT is for the computation of the wave propagation from a plane onto a “quasi-planar” surface and the cylindrical TI-FFT is for the computation of wave propagation from a cylindrical surface onto a “quasi-cylindrical” surface. Due to the use of the FFT, the TI-FFT algorithm has a computational complexity of O(N 2 log2  N 2) for an N × N computational grid, instead of N 4 for the direct integration method. The TI-FFT algorithm has a low sampling rate according to the Nyquist sampling theorem. The algorithm has accuracy down to −80 dB and it works particularly well for narrow-band fields and “quasi-planar” (“quasi-cylindrical”) surfaces.

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Acknowledgements

This work was supported by the U.S. Dept. of Energy under the contract DE-FG02-85ER52122.

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Wisconsin at Madison, Madison, WI, 53706, USA

    Shaolin Liao & Ronald J. Vernon

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  1. Shaolin Liao
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  2. Ronald J. Vernon
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Correspondence to Shaolin Liao.

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Liao, S., Vernon, R.J. A Fast Algorithm for Wave Propagation from a Plane or a Cylindrical Surface. Int J Infrared Milli Waves 28, 479–490 (2007). https://doi.org/10.1007/s10762-007-9213-0

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  • DOI: https://doi.org/10.1007/s10762-007-9213-0

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