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MRTD(Multi Resolution Time Domain) Method in Electromagnetics

Synthesis Lectures on Computational Electromagnetics

Nathan Bushyager​‌
Northrup Grumman
Manos M. Tentzeris​‌
Georgia Institute of Technology


This book presents a method that allows the use of multiresolution principles in a time domain electromagnetic modeling technique that is applicable to general structures. The multiresolution time-domain (MRTD) technique, as it is often called, is presented for general basis functions. Additional techniques that are presented here allow the modeling of complex structures using a subcell representation that permits the modeling discrete electromagnetic effects at individual equivalent grid points. This is accomplished by transforming the application of the effects at individual points in the grid into the wavelet domain.

In this work, the MRTD technique is derived for a general wavelet basis using a relatively compact vector notation that both makes the technique easier to understand and illustrates the differences between MRTD basis functions. In addition, techniques such as the uniaxial perfectly matched layer (UPML) for arbitrary wavelet resolution and non-uniform gridding are presented. Using these techniques, any structure that can be simulated in Yee-FDTD can be modeled with in MRTD.

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Cited by

Christophe Fumeaux, Thomas Kaufmann, Zahra Shaterian, Dirk Baumann, Maciej Klemm​‌. 2015. Conformal and Multi-scale Time-Domain Methods: From Unstructured Meshes to Meshless Discretisations. Computational Electromagnetics—Retrospective and Outlook, 139-165.
2010. Multiresolution Time Domain. Computational Photonics, 213-234.
Nikolaos V. Kantartzis, Theodoros D. Tsiboukis​‌. 2008. Electromagnetic Interference, Immunity, Shielding, and Signal Integrity. Modern EMC Analysis Techniques, 45-89.

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Nathan Bushyager
Manos M. Tentzeris
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